TSTP Solution File: SWW507_5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW507_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.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 : Wed May 1 04:19:41 EDT 2024
% Result : Theorem 0.73s 0.92s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 65
% Syntax : Number of formulae : 95 ( 8 unt; 59 typ; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 107 ( 43 ~; 34 |; 17 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 19 ( 2 avg)
% Number of types : 9 ( 8 usr)
% Number of type conns : 102 ( 35 >; 67 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-5 aty)
% Number of functors : 44 ( 44 usr; 9 con; 0-10 aty)
% Number of variables : 169 ( 120 !; 11 ?; 169 :)
% ( 38 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a: $tType ).
tff(type_def_6,type,
com1: $tType ).
tff(type_def_7,type,
loc: $tType ).
tff(type_def_8,type,
pname: $tType ).
tff(type_def_9,type,
state: $tType ).
tff(type_def_10,type,
vname: $tType ).
tff(type_def_11,type,
bool: $tType ).
tff(type_def_12,type,
hoare_28830079triple: $tType > $tType ).
tff(type_def_13,type,
nat: $tType ).
tff(type_def_14,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,X1),fun(fun(X2,X0),fun(X2,X1))) ).
tff(func_def_1,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(X1,fun(X0,X2))) ).
tff(func_def_2,type,
combs:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(fun(X0,X1),fun(X0,X2))) ).
tff(func_def_3,type,
ass: ( vname * fun(state,nat) ) > com1 ).
tff(func_def_4,type,
cond: ( fun(state,bool) * com1 * com1 ) > com1 ).
tff(func_def_5,type,
local: ( loc * fun(state,nat) * com1 ) > com1 ).
tff(func_def_6,type,
skip: com1 ).
tff(func_def_7,type,
semi: ( com1 * com1 ) > com1 ).
tff(func_def_8,type,
while: ( fun(state,bool) * com1 ) > com1 ).
tff(func_def_9,type,
com_case:
!>[X0: $tType] : ( ( X0 * fun(vname,fun(fun(state,nat),X0)) * fun(loc,fun(fun(state,nat),fun(com1,X0))) * fun(com1,fun(com1,X0)) * fun(fun(state,bool),fun(com1,fun(com1,X0))) * fun(fun(state,bool),fun(com1,X0)) * fun(pname,X0) * fun(vname,fun(pname,fun(fun(state,nat),X0))) * com1 ) > X0 ) ).
tff(func_def_10,type,
com_rec:
!>[X0: $tType] : ( ( X0 * fun(vname,fun(fun(state,nat),X0)) * fun(loc,fun(fun(state,nat),fun(com1,fun(X0,X0)))) * fun(com1,fun(com1,fun(X0,fun(X0,X0)))) * fun(fun(state,bool),fun(com1,fun(com1,fun(X0,fun(X0,X0))))) * fun(fun(state,bool),fun(com1,fun(X0,X0))) * fun(pname,X0) * fun(vname,fun(pname,fun(fun(state,nat),X0))) * com1 ) > X0 ) ).
tff(func_def_11,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_12,type,
hoare_1841697145triple:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com1 * fun(X0,fun(state,bool)) ) > hoare_28830079triple(X0) ) ).
tff(func_def_13,type,
hoare_376461865e_case:
!>[X0: $tType,X1: $tType] : ( ( fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),X1))) * hoare_28830079triple(X0) ) > X1 ) ).
tff(func_def_14,type,
hoare_678420151le_rec:
!>[X0: $tType,X1: $tType] : ( ( fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),X1))) * hoare_28830079triple(X0) ) > X1 ) ).
tff(func_def_15,type,
hoare_47506394e_size:
!>[X0: $tType] : ( ( fun(X0,nat) * hoare_28830079triple(X0) ) > nat ) ).
tff(func_def_16,type,
suc: nat > nat ).
tff(func_def_17,type,
nat_case:
!>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).
tff(func_def_18,type,
nat_rec:
!>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) * nat ) > X0 ) ).
tff(func_def_19,type,
semiri532925092at_aux:
!>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).
tff(func_def_20,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_21,type,
evaln: fun(com1,fun(state,fun(nat,fun(state,bool)))) ).
tff(func_def_22,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_23,type,
fAll:
!>[X0: $tType] : fun(fun(X0,bool),bool) ).
tff(func_def_24,type,
fFalse: bool ).
tff(func_def_25,type,
fTrue: bool ).
tff(func_def_26,type,
fimplies: fun(bool,fun(bool,bool)) ).
tff(func_def_27,type,
com: com1 ).
tff(func_def_28,type,
fun1: fun(a,fun(state,bool)) ).
tff(func_def_29,type,
fun2: fun(a,fun(state,bool)) ).
tff(func_def_30,type,
n: nat ).
tff(func_def_31,type,
sK0:
!>[X0: $tType] : ( hoare_28830079triple(X0) > fun(X0,fun(state,bool)) ) ).
tff(func_def_32,type,
sK1:
!>[X0: $tType] : ( hoare_28830079triple(X0) > com1 ) ).
tff(func_def_33,type,
sK2:
!>[X0: $tType] : ( hoare_28830079triple(X0) > fun(X0,fun(state,bool)) ) ).
tff(func_def_34,type,
sK3:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com1 * fun(X0,fun(state,bool)) * nat ) > X0 ) ).
tff(func_def_35,type,
sK4:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com1 * fun(X0,fun(state,bool)) * nat ) > state ) ).
tff(func_def_36,type,
sK5:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com1 * fun(X0,fun(state,bool)) * nat ) > state ) ).
tff(func_def_37,type,
sK6: ( state * state * com1 * state * state * com1 ) > nat ).
tff(func_def_38,type,
sK7: ( state * nat * state * com1 * com1 ) > state ).
tff(func_def_39,type,
sK8:
!>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * X0 * fun(nat,X0) ) > nat ) ).
tff(func_def_40,type,
sK9:
!>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * X0 * fun(nat,X0) ) > nat ) ).
tff(func_def_41,type,
sK10: ( state * nat * state * com1 * fun(state,bool) ) > state ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
wt: com1 > $o ).
tff(pred_def_4,type,
hoare_1442473487ek_and:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(state,bool) * X0 * state ) > $o ) ).
tff(pred_def_5,type,
hoare_1633586161_valid:
!>[X0: $tType] : ( ( nat * hoare_28830079triple(X0) ) > $o ) ).
tff(pred_def_6,type,
pp: bool > $o ).
tff(pred_def_7,type,
sQ11_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f603,plain,
$false,
inference(subsumption_resolution,[],[f600,f565]) ).
tff(f565,plain,
~ hoare_1633586161_valid(a,n,hoare_1841697145triple(a,fun1,com,fun2)),
inference(resolution,[],[f285,f418]) ).
tff(f418,plain,
~ pp(hoare_376461865e_case(a,bool,aa(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),bool))),aa(fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool))),fun(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),bool)))),combb(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool)),fun(a,fun(state,bool))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool))),combb(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool),com1),aa(fun(fun(a,bool),bool),fun(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool)),combb(fun(a,bool),bool,fun(a,fun(state,bool))),fAll(a)))),aa(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),aa(fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))))),combb(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(a,fun(state,bool))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool)),com1),aa(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool))),combb(fun(a,fun(state,bool)),fun(a,bool),fun(a,fun(state,bool))),aa(fun(fun(state,bool),bool),fun(fun(a,fun(state,bool)),fun(a,bool)),combb(fun(state,bool),bool,a),fAll(state))))),aa(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),combc(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),aa(fun(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),fun(fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))))),combb(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(a,fun(state,bool))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),com1)),aa(fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(a,fun(state,bool))),combb(fun(a,fun(state,bool)),fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),combb(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(a,fun(state,bool))),combs(a,fun(state,bool),fun(state,bool))),aa(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool))))),combb(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),fun(a,fun(state,bool))),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a),combs(state,bool,bool))),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),a),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))))))),aa(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),com1),aa(fun(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),combb(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool)),fun(a,fun(state,bool))),aa(fun(fun(state,fun(state,bool)),fun(state,bool)),fun(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool))),combb(fun(state,fun(state,bool)),fun(state,bool),a),aa(fun(fun(state,bool),bool),fun(fun(state,fun(state,bool)),fun(state,bool)),combb(fun(state,bool),bool,state),fAll(state))))),aa(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),aa(fun(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))))),combb(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),com1),combb(fun(state,bool),fun(state,fun(state,bool)),a)),aa(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),aa(fun(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool))))),combb(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool))),com1),combc(state,fun(state,bool),fun(state,bool))),aa(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),fun(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool))))),combb(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool))),com1),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),state),combs(state,bool,bool))),aa(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool)))),aa(fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),fun(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool))))),combb(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool))),com1),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),state),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))),aa(nat,fun(com1,fun(state,fun(state,bool))),aa(fun(com1,fun(nat,fun(state,fun(state,bool)))),fun(nat,fun(com1,fun(state,fun(state,bool)))),combc(com1,nat,fun(state,fun(state,bool))),aa(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool)))),aa(fun(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool))))),combb(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool))),com1),combc(state,nat,fun(state,bool))),evaln)),n))))))))),hoare_1841697145triple(a,fun1,com,fun2))),
inference(cnf_transformation,[],[f248]) ).
tff(f248,plain,
( ~ pp(hoare_376461865e_case(a,bool,aa(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),bool))),aa(fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool))),fun(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),bool)))),combb(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool)),fun(a,fun(state,bool))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool))),combb(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool),com1),aa(fun(fun(a,bool),bool),fun(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool)),combb(fun(a,bool),bool,fun(a,fun(state,bool))),fAll(a)))),aa(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),aa(fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))))),combb(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(a,fun(state,bool))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool)),com1),aa(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool))),combb(fun(a,fun(state,bool)),fun(a,bool),fun(a,fun(state,bool))),aa(fun(fun(state,bool),bool),fun(fun(a,fun(state,bool)),fun(a,bool)),combb(fun(state,bool),bool,a),fAll(state))))),aa(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),combc(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),aa(fun(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),fun(fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))))),combb(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(a,fun(state,bool))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),com1)),aa(fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(a,fun(state,bool))),combb(fun(a,fun(state,bool)),fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),combb(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(a,fun(state,bool))),combs(a,fun(state,bool),fun(state,bool))),aa(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool))))),combb(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),fun(a,fun(state,bool))),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a),combs(state,bool,bool))),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),a),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))))))),aa(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),com1),aa(fun(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),combb(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool)),fun(a,fun(state,bool))),aa(fun(fun(state,fun(state,bool)),fun(state,bool)),fun(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool))),combb(fun(state,fun(state,bool)),fun(state,bool),a),aa(fun(fun(state,bool),bool),fun(fun(state,fun(state,bool)),fun(state,bool)),combb(fun(state,bool),bool,state),fAll(state))))),aa(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),aa(fun(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))))),combb(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),com1),combb(fun(state,bool),fun(state,fun(state,bool)),a)),aa(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),aa(fun(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool))))),combb(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool))),com1),combc(state,fun(state,bool),fun(state,bool))),aa(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),fun(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool))))),combb(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool))),com1),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),state),combs(state,bool,bool))),aa(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool)))),aa(fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),fun(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool))))),combb(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool))),com1),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),state),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))),aa(nat,fun(com1,fun(state,fun(state,bool))),aa(fun(com1,fun(nat,fun(state,fun(state,bool)))),fun(nat,fun(com1,fun(state,fun(state,bool)))),combc(com1,nat,fun(state,fun(state,bool))),aa(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool)))),aa(fun(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool))))),combb(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool))),com1),combc(state,nat,fun(state,bool))),evaln)),n))))))))),hoare_1841697145triple(a,fun1,com,fun2)))
& pp(hoare_376461865e_case(a,bool,aa(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),bool))),aa(fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool))),fun(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),bool)))),combb(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool)),fun(a,fun(state,bool))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool))),combb(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool),com1),aa(fun(fun(a,bool),bool),fun(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool)),combb(fun(a,bool),bool,fun(a,fun(state,bool))),fAll(a)))),aa(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),aa(fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))))),combb(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(a,fun(state,bool))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool)),com1),aa(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool))),combb(fun(a,fun(state,bool)),fun(a,bool),fun(a,fun(state,bool))),aa(fun(fun(state,bool),bool),fun(fun(a,fun(state,bool)),fun(a,bool)),combb(fun(state,bool),bool,a),fAll(state))))),aa(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),combc(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),aa(fun(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),fun(fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))))),combb(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(a,fun(state,bool))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),com1)),aa(fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(a,fun(state,bool))),combb(fun(a,fun(state,bool)),fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),combb(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(a,fun(state,bool))),combs(a,fun(state,bool),fun(state,bool))),aa(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool))))),combb(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),fun(a,fun(state,bool))),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a),combs(state,bool,bool))),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),a),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))))))),aa(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),com1),aa(fun(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),combb(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool)),fun(a,fun(state,bool))),aa(fun(fun(state,fun(state,bool)),fun(state,bool)),fun(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool))),combb(fun(state,fun(state,bool)),fun(state,bool),a),aa(fun(fun(state,bool),bool),fun(fun(state,fun(state,bool)),fun(state,bool)),combb(fun(state,bool),bool,state),fAll(state))))),aa(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),aa(fun(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))))),combb(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),com1),combb(fun(state,bool),fun(state,fun(state,bool)),a)),aa(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),aa(fun(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool))))),combb(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool))),com1),combc(state,fun(state,bool),fun(state,bool))),aa(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),fun(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool))))),combb(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool))),com1),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),state),combs(state,bool,bool))),aa(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool)))),aa(fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),fun(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool))))),combb(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool))),com1),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),state),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))),aa(nat,fun(com1,fun(state,fun(state,bool))),aa(fun(com1,fun(nat,fun(state,fun(state,bool)))),fun(nat,fun(com1,fun(state,fun(state,bool)))),combc(com1,nat,fun(state,fun(state,bool))),aa(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool)))),aa(fun(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool))))),combb(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool))),com1),combc(state,nat,fun(state,bool))),evaln)),suc(n)))))))))),hoare_1841697145triple(a,fun1,com,fun2))) ),
inference(ennf_transformation,[],[f109]) ).
tff(f109,negated_conjecture,
~ ( pp(hoare_376461865e_case(a,bool,aa(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),bool))),aa(fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool))),fun(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),bool)))),combb(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool)),fun(a,fun(state,bool))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool))),combb(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool),com1),aa(fun(fun(a,bool),bool),fun(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool)),combb(fun(a,bool),bool,fun(a,fun(state,bool))),fAll(a)))),aa(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),aa(fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))))),combb(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(a,fun(state,bool))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool)),com1),aa(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool))),combb(fun(a,fun(state,bool)),fun(a,bool),fun(a,fun(state,bool))),aa(fun(fun(state,bool),bool),fun(fun(a,fun(state,bool)),fun(a,bool)),combb(fun(state,bool),bool,a),fAll(state))))),aa(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),combc(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),aa(fun(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),fun(fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))))),combb(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(a,fun(state,bool))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),com1)),aa(fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(a,fun(state,bool))),combb(fun(a,fun(state,bool)),fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),combb(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(a,fun(state,bool))),combs(a,fun(state,bool),fun(state,bool))),aa(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool))))),combb(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),fun(a,fun(state,bool))),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a),combs(state,bool,bool))),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),a),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))))))),aa(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),com1),aa(fun(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),combb(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool)),fun(a,fun(state,bool))),aa(fun(fun(state,fun(state,bool)),fun(state,bool)),fun(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool))),combb(fun(state,fun(state,bool)),fun(state,bool),a),aa(fun(fun(state,bool),bool),fun(fun(state,fun(state,bool)),fun(state,bool)),combb(fun(state,bool),bool,state),fAll(state))))),aa(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),aa(fun(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))))),combb(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),com1),combb(fun(state,bool),fun(state,fun(state,bool)),a)),aa(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),aa(fun(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool))))),combb(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool))),com1),combc(state,fun(state,bool),fun(state,bool))),aa(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),fun(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool))))),combb(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool))),com1),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),state),combs(state,bool,bool))),aa(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool)))),aa(fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),fun(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool))))),combb(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool))),com1),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),state),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))),aa(nat,fun(com1,fun(state,fun(state,bool))),aa(fun(com1,fun(nat,fun(state,fun(state,bool)))),fun(nat,fun(com1,fun(state,fun(state,bool)))),combc(com1,nat,fun(state,fun(state,bool))),aa(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool)))),aa(fun(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool))))),combb(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool))),com1),combc(state,nat,fun(state,bool))),evaln)),n))))))))),hoare_1841697145triple(a,fun1,com,fun2)))
| ~ pp(hoare_376461865e_case(a,bool,aa(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),bool))),aa(fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool))),fun(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),bool)))),combb(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool)),fun(a,fun(state,bool))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool))),combb(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool),com1),aa(fun(fun(a,bool),bool),fun(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool)),combb(fun(a,bool),bool,fun(a,fun(state,bool))),fAll(a)))),aa(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),aa(fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))))),combb(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(a,fun(state,bool))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool)),com1),aa(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool))),combb(fun(a,fun(state,bool)),fun(a,bool),fun(a,fun(state,bool))),aa(fun(fun(state,bool),bool),fun(fun(a,fun(state,bool)),fun(a,bool)),combb(fun(state,bool),bool,a),fAll(state))))),aa(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),combc(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),aa(fun(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),fun(fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))))),combb(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(a,fun(state,bool))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),com1)),aa(fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(a,fun(state,bool))),combb(fun(a,fun(state,bool)),fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),combb(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(a,fun(state,bool))),combs(a,fun(state,bool),fun(state,bool))),aa(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool))))),combb(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),fun(a,fun(state,bool))),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a),combs(state,bool,bool))),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),a),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))))))),aa(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),com1),aa(fun(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),combb(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool)),fun(a,fun(state,bool))),aa(fun(fun(state,fun(state,bool)),fun(state,bool)),fun(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool))),combb(fun(state,fun(state,bool)),fun(state,bool),a),aa(fun(fun(state,bool),bool),fun(fun(state,fun(state,bool)),fun(state,bool)),combb(fun(state,bool),bool,state),fAll(state))))),aa(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),aa(fun(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))))),combb(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),com1),combb(fun(state,bool),fun(state,fun(state,bool)),a)),aa(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),aa(fun(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool))))),combb(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool))),com1),combc(state,fun(state,bool),fun(state,bool))),aa(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),fun(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool))))),combb(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool))),com1),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),state),combs(state,bool,bool))),aa(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool)))),aa(fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),fun(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool))))),combb(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool))),com1),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),state),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))),aa(nat,fun(com1,fun(state,fun(state,bool))),aa(fun(com1,fun(nat,fun(state,fun(state,bool)))),fun(nat,fun(com1,fun(state,fun(state,bool)))),combc(com1,nat,fun(state,fun(state,bool))),aa(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool)))),aa(fun(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool))))),combb(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool))),com1),combc(state,nat,fun(state,bool))),evaln)),suc(n)))))))))),hoare_1841697145triple(a,fun1,com,fun2))) ),
inference(negated_conjecture,[],[f108]) ).
tff(f108,conjecture,
( pp(hoare_376461865e_case(a,bool,aa(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),bool))),aa(fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool))),fun(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),bool)))),combb(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool)),fun(a,fun(state,bool))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool))),combb(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool),com1),aa(fun(fun(a,bool),bool),fun(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool)),combb(fun(a,bool),bool,fun(a,fun(state,bool))),fAll(a)))),aa(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),aa(fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))))),combb(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(a,fun(state,bool))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool)),com1),aa(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool))),combb(fun(a,fun(state,bool)),fun(a,bool),fun(a,fun(state,bool))),aa(fun(fun(state,bool),bool),fun(fun(a,fun(state,bool)),fun(a,bool)),combb(fun(state,bool),bool,a),fAll(state))))),aa(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),combc(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),aa(fun(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),fun(fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))))),combb(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(a,fun(state,bool))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),com1)),aa(fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(a,fun(state,bool))),combb(fun(a,fun(state,bool)),fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),combb(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(a,fun(state,bool))),combs(a,fun(state,bool),fun(state,bool))),aa(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool))))),combb(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),fun(a,fun(state,bool))),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a),combs(state,bool,bool))),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),a),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))))))),aa(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),com1),aa(fun(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),combb(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool)),fun(a,fun(state,bool))),aa(fun(fun(state,fun(state,bool)),fun(state,bool)),fun(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool))),combb(fun(state,fun(state,bool)),fun(state,bool),a),aa(fun(fun(state,bool),bool),fun(fun(state,fun(state,bool)),fun(state,bool)),combb(fun(state,bool),bool,state),fAll(state))))),aa(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),aa(fun(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))))),combb(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),com1),combb(fun(state,bool),fun(state,fun(state,bool)),a)),aa(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),aa(fun(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool))))),combb(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool))),com1),combc(state,fun(state,bool),fun(state,bool))),aa(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),fun(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool))))),combb(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool))),com1),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),state),combs(state,bool,bool))),aa(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool)))),aa(fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),fun(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool))))),combb(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool))),com1),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),state),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))),aa(nat,fun(com1,fun(state,fun(state,bool))),aa(fun(com1,fun(nat,fun(state,fun(state,bool)))),fun(nat,fun(com1,fun(state,fun(state,bool)))),combc(com1,nat,fun(state,fun(state,bool))),aa(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool)))),aa(fun(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool))))),combb(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool))),com1),combc(state,nat,fun(state,bool))),evaln)),n))))))))),hoare_1841697145triple(a,fun1,com,fun2)))
| ~ pp(hoare_376461865e_case(a,bool,aa(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),bool))),aa(fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool))),fun(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),bool)))),combb(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool)),fun(a,fun(state,bool))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool))),combb(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool),com1),aa(fun(fun(a,bool),bool),fun(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool)),combb(fun(a,bool),bool,fun(a,fun(state,bool))),fAll(a)))),aa(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),aa(fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))))),combb(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(a,fun(state,bool))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool)),com1),aa(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool))),combb(fun(a,fun(state,bool)),fun(a,bool),fun(a,fun(state,bool))),aa(fun(fun(state,bool),bool),fun(fun(a,fun(state,bool)),fun(a,bool)),combb(fun(state,bool),bool,a),fAll(state))))),aa(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),combc(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),aa(fun(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),fun(fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))))),combb(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(a,fun(state,bool))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),com1)),aa(fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(a,fun(state,bool))),combb(fun(a,fun(state,bool)),fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),combb(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(a,fun(state,bool))),combs(a,fun(state,bool),fun(state,bool))),aa(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool))))),combb(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),fun(a,fun(state,bool))),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a),combs(state,bool,bool))),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),a),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))))))),aa(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),com1),aa(fun(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),combb(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool)),fun(a,fun(state,bool))),aa(fun(fun(state,fun(state,bool)),fun(state,bool)),fun(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool))),combb(fun(state,fun(state,bool)),fun(state,bool),a),aa(fun(fun(state,bool),bool),fun(fun(state,fun(state,bool)),fun(state,bool)),combb(fun(state,bool),bool,state),fAll(state))))),aa(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),aa(fun(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))))),combb(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),com1),combb(fun(state,bool),fun(state,fun(state,bool)),a)),aa(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),aa(fun(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool))))),combb(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool))),com1),combc(state,fun(state,bool),fun(state,bool))),aa(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),fun(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool))))),combb(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool))),com1),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),state),combs(state,bool,bool))),aa(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool)))),aa(fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),fun(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool))))),combb(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool))),com1),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),state),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))),aa(nat,fun(com1,fun(state,fun(state,bool))),aa(fun(com1,fun(nat,fun(state,fun(state,bool)))),fun(nat,fun(com1,fun(state,fun(state,bool)))),combc(com1,nat,fun(state,fun(state,bool))),aa(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool)))),aa(fun(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool))))),combb(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool))),com1),combc(state,nat,fun(state,bool))),evaln)),suc(n)))))))))),hoare_1841697145triple(a,fun1,com,fun2))) ),
file('/export/starexec/sandbox2/tmp/tmp.cgOefgO50w/Vampire---4.8_10608',conj_0) ).
tff(f285,plain,
! [X0: $tType,X2: nat,X1: hoare_28830079triple(X0)] :
( pp(hoare_376461865e_case(X0,bool,aa(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),bool))),aa(fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(com1,fun(fun(X0,fun(state,bool)),bool))),fun(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),bool)))),combb(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(com1,fun(fun(X0,fun(state,bool)),bool)),fun(X0,fun(state,bool))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(X0,fun(state,bool)),bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(com1,fun(fun(X0,fun(state,bool)),bool))),combb(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(X0,fun(state,bool)),bool),com1),aa(fun(fun(X0,bool),bool),fun(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(X0,fun(state,bool)),bool)),combb(fun(X0,bool),bool,fun(X0,fun(state,bool))),fAll(X0)))),aa(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),aa(fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),fun(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))))),combb(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(X0,fun(state,bool))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,bool)),com1),aa(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,bool))),combb(fun(X0,fun(state,bool)),fun(X0,bool),fun(X0,fun(state,bool))),aa(fun(fun(state,bool),bool),fun(fun(X0,fun(state,bool)),fun(X0,bool)),combb(fun(state,bool),bool,X0),fAll(state))))),aa(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),aa(fun(fun(X0,fun(state,bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),combc(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),aa(fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),aa(fun(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),fun(fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))))),combb(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(X0,fun(state,bool))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),com1)),aa(fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(X0,fun(state,bool))),combb(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),aa(fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),aa(fun(fun(X0,fun(fun(state,bool),fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),combb(fun(X0,fun(fun(state,bool),fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(X0,fun(state,bool))),combs(X0,fun(state,bool),fun(state,bool))),aa(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(bool,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(X0,fun(state,fun(bool,bool))),fun(X0,fun(fun(state,bool),fun(state,bool)))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(bool,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool))))),combb(fun(X0,fun(state,fun(bool,bool))),fun(X0,fun(fun(state,bool),fun(state,bool))),fun(X0,fun(state,bool))),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(X0,fun(state,fun(bool,bool))),fun(X0,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),X0),combs(state,bool,bool))),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),X0),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))))))),aa(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),com1),aa(fun(fun(X0,fun(state,fun(state,bool))),fun(X0,fun(state,bool))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),combb(fun(X0,fun(state,fun(state,bool))),fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),aa(fun(fun(state,fun(state,bool)),fun(state,bool)),fun(fun(X0,fun(state,fun(state,bool))),fun(X0,fun(state,bool))),combb(fun(state,fun(state,bool)),fun(state,bool),X0),aa(fun(fun(state,bool),bool),fun(fun(state,fun(state,bool)),fun(state,bool)),combb(fun(state,bool),bool,state),fAll(state))))),aa(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),aa(fun(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),fun(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))))),combb(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),com1),combb(fun(state,bool),fun(state,fun(state,bool)),X0)),aa(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),aa(fun(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool))))),combb(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool))),com1),combc(state,fun(state,bool),fun(state,bool))),aa(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),fun(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool))))),combb(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool))),com1),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),state),combs(state,bool,bool))),aa(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool)))),aa(fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),fun(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool))))),combb(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool))),com1),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),state),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))),aa(nat,fun(com1,fun(state,fun(state,bool))),aa(fun(com1,fun(nat,fun(state,fun(state,bool)))),fun(nat,fun(com1,fun(state,fun(state,bool)))),combc(com1,nat,fun(state,fun(state,bool))),aa(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool)))),aa(fun(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool))))),combb(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool))),com1),combc(state,nat,fun(state,bool))),evaln)),X2))))))))),X1))
| ~ hoare_1633586161_valid(X0,X2,X1) ),
inference(cnf_transformation,[],[f251]) ).
tff(f251,plain,
! [X0: $tType,X1: hoare_28830079triple(X0),X2: nat] :
( ( hoare_1633586161_valid(X0,X2,X1)
| ~ pp(hoare_376461865e_case(X0,bool,aa(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),bool))),aa(fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(com1,fun(fun(X0,fun(state,bool)),bool))),fun(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),bool)))),combb(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(com1,fun(fun(X0,fun(state,bool)),bool)),fun(X0,fun(state,bool))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(X0,fun(state,bool)),bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(com1,fun(fun(X0,fun(state,bool)),bool))),combb(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(X0,fun(state,bool)),bool),com1),aa(fun(fun(X0,bool),bool),fun(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(X0,fun(state,bool)),bool)),combb(fun(X0,bool),bool,fun(X0,fun(state,bool))),fAll(X0)))),aa(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),aa(fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),fun(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))))),combb(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(X0,fun(state,bool))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,bool)),com1),aa(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,bool))),combb(fun(X0,fun(state,bool)),fun(X0,bool),fun(X0,fun(state,bool))),aa(fun(fun(state,bool),bool),fun(fun(X0,fun(state,bool)),fun(X0,bool)),combb(fun(state,bool),bool,X0),fAll(state))))),aa(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),aa(fun(fun(X0,fun(state,bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),combc(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),aa(fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),aa(fun(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),fun(fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))))),combb(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(X0,fun(state,bool))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),com1)),aa(fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(X0,fun(state,bool))),combb(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),aa(fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),aa(fun(fun(X0,fun(fun(state,bool),fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),combb(fun(X0,fun(fun(state,bool),fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(X0,fun(state,bool))),combs(X0,fun(state,bool),fun(state,bool))),aa(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(bool,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(X0,fun(state,fun(bool,bool))),fun(X0,fun(fun(state,bool),fun(state,bool)))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(bool,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool))))),combb(fun(X0,fun(state,fun(bool,bool))),fun(X0,fun(fun(state,bool),fun(state,bool))),fun(X0,fun(state,bool))),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(X0,fun(state,fun(bool,bool))),fun(X0,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),X0),combs(state,bool,bool))),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),X0),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))))))),aa(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),com1),aa(fun(fun(X0,fun(state,fun(state,bool))),fun(X0,fun(state,bool))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),combb(fun(X0,fun(state,fun(state,bool))),fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),aa(fun(fun(state,fun(state,bool)),fun(state,bool)),fun(fun(X0,fun(state,fun(state,bool))),fun(X0,fun(state,bool))),combb(fun(state,fun(state,bool)),fun(state,bool),X0),aa(fun(fun(state,bool),bool),fun(fun(state,fun(state,bool)),fun(state,bool)),combb(fun(state,bool),bool,state),fAll(state))))),aa(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),aa(fun(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),fun(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))))),combb(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),com1),combb(fun(state,bool),fun(state,fun(state,bool)),X0)),aa(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),aa(fun(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool))))),combb(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool))),com1),combc(state,fun(state,bool),fun(state,bool))),aa(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),fun(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool))))),combb(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool))),com1),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),state),combs(state,bool,bool))),aa(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool)))),aa(fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),fun(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool))))),combb(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool))),com1),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),state),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))),aa(nat,fun(com1,fun(state,fun(state,bool))),aa(fun(com1,fun(nat,fun(state,fun(state,bool)))),fun(nat,fun(com1,fun(state,fun(state,bool)))),combc(com1,nat,fun(state,fun(state,bool))),aa(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool)))),aa(fun(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool))))),combb(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool))),com1),combc(state,nat,fun(state,bool))),evaln)),X2))))))))),X1)) )
& ( pp(hoare_376461865e_case(X0,bool,aa(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),bool))),aa(fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(com1,fun(fun(X0,fun(state,bool)),bool))),fun(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),bool)))),combb(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(com1,fun(fun(X0,fun(state,bool)),bool)),fun(X0,fun(state,bool))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(X0,fun(state,bool)),bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(com1,fun(fun(X0,fun(state,bool)),bool))),combb(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(X0,fun(state,bool)),bool),com1),aa(fun(fun(X0,bool),bool),fun(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(X0,fun(state,bool)),bool)),combb(fun(X0,bool),bool,fun(X0,fun(state,bool))),fAll(X0)))),aa(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),aa(fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),fun(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))))),combb(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(X0,fun(state,bool))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,bool)),com1),aa(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,bool))),combb(fun(X0,fun(state,bool)),fun(X0,bool),fun(X0,fun(state,bool))),aa(fun(fun(state,bool),bool),fun(fun(X0,fun(state,bool)),fun(X0,bool)),combb(fun(state,bool),bool,X0),fAll(state))))),aa(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),aa(fun(fun(X0,fun(state,bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),combc(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),aa(fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),aa(fun(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),fun(fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))))),combb(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(X0,fun(state,bool))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),com1)),aa(fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(X0,fun(state,bool))),combb(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),aa(fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),aa(fun(fun(X0,fun(fun(state,bool),fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),combb(fun(X0,fun(fun(state,bool),fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(X0,fun(state,bool))),combs(X0,fun(state,bool),fun(state,bool))),aa(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(bool,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(X0,fun(state,fun(bool,bool))),fun(X0,fun(fun(state,bool),fun(state,bool)))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(bool,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool))))),combb(fun(X0,fun(state,fun(bool,bool))),fun(X0,fun(fun(state,bool),fun(state,bool))),fun(X0,fun(state,bool))),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(X0,fun(state,fun(bool,bool))),fun(X0,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),X0),combs(state,bool,bool))),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),X0),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))))))),aa(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),com1),aa(fun(fun(X0,fun(state,fun(state,bool))),fun(X0,fun(state,bool))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),combb(fun(X0,fun(state,fun(state,bool))),fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),aa(fun(fun(state,fun(state,bool)),fun(state,bool)),fun(fun(X0,fun(state,fun(state,bool))),fun(X0,fun(state,bool))),combb(fun(state,fun(state,bool)),fun(state,bool),X0),aa(fun(fun(state,bool),bool),fun(fun(state,fun(state,bool)),fun(state,bool)),combb(fun(state,bool),bool,state),fAll(state))))),aa(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),aa(fun(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),fun(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))))),combb(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),com1),combb(fun(state,bool),fun(state,fun(state,bool)),X0)),aa(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),aa(fun(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool))))),combb(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool))),com1),combc(state,fun(state,bool),fun(state,bool))),aa(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),fun(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool))))),combb(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool))),com1),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),state),combs(state,bool,bool))),aa(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool)))),aa(fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),fun(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool))))),combb(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool))),com1),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),state),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))),aa(nat,fun(com1,fun(state,fun(state,bool))),aa(fun(com1,fun(nat,fun(state,fun(state,bool)))),fun(nat,fun(com1,fun(state,fun(state,bool)))),combc(com1,nat,fun(state,fun(state,bool))),aa(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool)))),aa(fun(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool))))),combb(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool))),com1),combc(state,nat,fun(state,bool))),evaln)),X2))))))))),X1))
| ~ hoare_1633586161_valid(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f112]) ).
tff(f112,plain,
! [X0: $tType,X1: hoare_28830079triple(X0),X2: nat] :
( hoare_1633586161_valid(X0,X2,X1)
<=> pp(hoare_376461865e_case(X0,bool,aa(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),bool))),aa(fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(com1,fun(fun(X0,fun(state,bool)),bool))),fun(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),bool)))),combb(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(com1,fun(fun(X0,fun(state,bool)),bool)),fun(X0,fun(state,bool))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(X0,fun(state,bool)),bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(com1,fun(fun(X0,fun(state,bool)),bool))),combb(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(X0,fun(state,bool)),bool),com1),aa(fun(fun(X0,bool),bool),fun(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(X0,fun(state,bool)),bool)),combb(fun(X0,bool),bool,fun(X0,fun(state,bool))),fAll(X0)))),aa(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),aa(fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),fun(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))))),combb(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(X0,fun(state,bool))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,bool)),com1),aa(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,bool))),combb(fun(X0,fun(state,bool)),fun(X0,bool),fun(X0,fun(state,bool))),aa(fun(fun(state,bool),bool),fun(fun(X0,fun(state,bool)),fun(X0,bool)),combb(fun(state,bool),bool,X0),fAll(state))))),aa(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),aa(fun(fun(X0,fun(state,bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),combc(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),aa(fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),aa(fun(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),fun(fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))))),combb(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(X0,fun(state,bool))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),com1)),aa(fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(X0,fun(state,bool))),combb(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),aa(fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),aa(fun(fun(X0,fun(fun(state,bool),fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),combb(fun(X0,fun(fun(state,bool),fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(X0,fun(state,bool))),combs(X0,fun(state,bool),fun(state,bool))),aa(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(bool,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(X0,fun(state,fun(bool,bool))),fun(X0,fun(fun(state,bool),fun(state,bool)))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(bool,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool))))),combb(fun(X0,fun(state,fun(bool,bool))),fun(X0,fun(fun(state,bool),fun(state,bool))),fun(X0,fun(state,bool))),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(X0,fun(state,fun(bool,bool))),fun(X0,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),X0),combs(state,bool,bool))),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),X0),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))))))),aa(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),com1),aa(fun(fun(X0,fun(state,fun(state,bool))),fun(X0,fun(state,bool))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),combb(fun(X0,fun(state,fun(state,bool))),fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),aa(fun(fun(state,fun(state,bool)),fun(state,bool)),fun(fun(X0,fun(state,fun(state,bool))),fun(X0,fun(state,bool))),combb(fun(state,fun(state,bool)),fun(state,bool),X0),aa(fun(fun(state,bool),bool),fun(fun(state,fun(state,bool)),fun(state,bool)),combb(fun(state,bool),bool,state),fAll(state))))),aa(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),aa(fun(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),fun(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))))),combb(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),com1),combb(fun(state,bool),fun(state,fun(state,bool)),X0)),aa(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),aa(fun(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool))))),combb(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool))),com1),combc(state,fun(state,bool),fun(state,bool))),aa(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),fun(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool))))),combb(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool))),com1),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),state),combs(state,bool,bool))),aa(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool)))),aa(fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),fun(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool))))),combb(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool))),com1),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),state),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))),aa(nat,fun(com1,fun(state,fun(state,bool))),aa(fun(com1,fun(nat,fun(state,fun(state,bool)))),fun(nat,fun(com1,fun(state,fun(state,bool)))),combc(com1,nat,fun(state,fun(state,bool))),aa(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool)))),aa(fun(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool))))),combb(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool))),com1),combc(state,nat,fun(state,bool))),evaln)),X2))))))))),X1)) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X1: $tType,X11: hoare_28830079triple(X1),X12: nat] :
( hoare_1633586161_valid(X1,X12,X11)
<=> pp(hoare_376461865e_case(X1,bool,aa(fun(fun(X1,fun(state,bool)),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,bool)))),fun(fun(X1,fun(state,bool)),fun(com1,fun(fun(X1,fun(state,bool)),bool))),aa(fun(fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,bool))),fun(com1,fun(fun(X1,fun(state,bool)),bool))),fun(fun(fun(X1,fun(state,bool)),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,bool)))),fun(fun(X1,fun(state,bool)),fun(com1,fun(fun(X1,fun(state,bool)),bool)))),combb(fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,bool))),fun(com1,fun(fun(X1,fun(state,bool)),bool)),fun(X1,fun(state,bool))),aa(fun(fun(fun(X1,fun(state,bool)),fun(X1,bool)),fun(fun(X1,fun(state,bool)),bool)),fun(fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,bool))),fun(com1,fun(fun(X1,fun(state,bool)),bool))),combb(fun(fun(X1,fun(state,bool)),fun(X1,bool)),fun(fun(X1,fun(state,bool)),bool),com1),aa(fun(fun(X1,bool),bool),fun(fun(fun(X1,fun(state,bool)),fun(X1,bool)),fun(fun(X1,fun(state,bool)),bool)),combb(fun(X1,bool),bool,fun(X1,fun(state,bool))),fAll(X1)))),aa(fun(fun(X1,fun(state,bool)),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))))),fun(fun(X1,fun(state,bool)),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,bool)))),aa(fun(fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,bool)))),fun(fun(fun(X1,fun(state,bool)),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))))),fun(fun(X1,fun(state,bool)),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,bool))))),combb(fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,bool))),fun(X1,fun(state,bool))),aa(fun(fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))),fun(fun(X1,fun(state,bool)),fun(X1,bool))),fun(fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,bool)))),combb(fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))),fun(fun(X1,fun(state,bool)),fun(X1,bool)),com1),aa(fun(fun(X1,fun(state,bool)),fun(X1,bool)),fun(fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))),fun(fun(X1,fun(state,bool)),fun(X1,bool))),combb(fun(X1,fun(state,bool)),fun(X1,bool),fun(X1,fun(state,bool))),aa(fun(fun(state,bool),bool),fun(fun(X1,fun(state,bool)),fun(X1,bool)),combb(fun(state,bool),bool,X1),fAll(state))))),aa(fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),fun(fun(X1,fun(state,bool)),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))))),aa(fun(fun(X1,fun(state,bool)),fun(fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))))),fun(fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),fun(fun(X1,fun(state,bool)),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))))),combc(fun(X1,fun(state,bool)),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))))),aa(fun(fun(X1,fun(state,bool)),fun(fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))))),fun(fun(X1,fun(state,bool)),fun(fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))))),aa(fun(fun(fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),fun(fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))))),fun(fun(fun(X1,fun(state,bool)),fun(fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))))),fun(fun(X1,fun(state,bool)),fun(fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))))))),combb(fun(fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),fun(fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))))),fun(X1,fun(state,bool))),combb(fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))),com1)),aa(fun(fun(X1,fun(state,bool)),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),fun(fun(X1,fun(state,bool)),fun(fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))))),aa(fun(fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))),fun(fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))))),fun(fun(fun(X1,fun(state,bool)),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),fun(fun(X1,fun(state,bool)),fun(fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))))),combb(fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))),fun(fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),fun(X1,fun(state,bool))),combb(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),aa(fun(fun(X1,fun(state,bool)),fun(X1,fun(fun(state,bool),fun(state,bool)))),fun(fun(X1,fun(state,bool)),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),aa(fun(fun(X1,fun(fun(state,bool),fun(state,bool))),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),fun(fun(fun(X1,fun(state,bool)),fun(X1,fun(fun(state,bool),fun(state,bool)))),fun(fun(X1,fun(state,bool)),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))))),combb(fun(X1,fun(fun(state,bool),fun(state,bool))),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))),fun(X1,fun(state,bool))),combs(X1,fun(state,bool),fun(state,bool))),aa(fun(fun(X1,fun(state,bool)),fun(X1,fun(state,fun(bool,bool)))),fun(fun(X1,fun(state,bool)),fun(X1,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(X1,fun(state,fun(bool,bool))),fun(X1,fun(fun(state,bool),fun(state,bool)))),fun(fun(fun(X1,fun(state,bool)),fun(X1,fun(state,fun(bool,bool)))),fun(fun(X1,fun(state,bool)),fun(X1,fun(fun(state,bool),fun(state,bool))))),combb(fun(X1,fun(state,fun(bool,bool))),fun(X1,fun(fun(state,bool),fun(state,bool))),fun(X1,fun(state,bool))),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(X1,fun(state,fun(bool,bool))),fun(X1,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),X1),combs(state,bool,bool))),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),X1),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))))))),aa(fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,fun(state,bool))))),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),aa(fun(fun(fun(X1,fun(state,bool)),fun(X1,fun(state,fun(state,bool)))),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),fun(fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,fun(state,bool))))),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))))),combb(fun(fun(X1,fun(state,bool)),fun(X1,fun(state,fun(state,bool)))),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool))),com1),aa(fun(fun(X1,fun(state,fun(state,bool))),fun(X1,fun(state,bool))),fun(fun(fun(X1,fun(state,bool)),fun(X1,fun(state,fun(state,bool)))),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,bool)))),combb(fun(X1,fun(state,fun(state,bool))),fun(X1,fun(state,bool)),fun(X1,fun(state,bool))),aa(fun(fun(state,fun(state,bool)),fun(state,bool)),fun(fun(X1,fun(state,fun(state,bool))),fun(X1,fun(state,bool))),combb(fun(state,fun(state,bool)),fun(state,bool),X1),aa(fun(fun(state,bool),bool),fun(fun(state,fun(state,bool)),fun(state,bool)),combb(fun(state,bool),bool,state),fAll(state))))),aa(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,fun(state,bool))))),aa(fun(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,fun(state,bool))))),fun(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(X1,fun(state,bool)),fun(X1,fun(state,fun(state,bool)))))),combb(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(X1,fun(state,bool)),fun(X1,fun(state,fun(state,bool)))),com1),combb(fun(state,bool),fun(state,fun(state,bool)),X1)),aa(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),aa(fun(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool))))),combb(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool))),com1),combc(state,fun(state,bool),fun(state,bool))),aa(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),fun(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool))))),combb(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool))),com1),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),state),combs(state,bool,bool))),aa(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool)))),aa(fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),fun(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool))))),combb(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool))),com1),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),state),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))),aa(nat,fun(com1,fun(state,fun(state,bool))),aa(fun(com1,fun(nat,fun(state,fun(state,bool)))),fun(nat,fun(com1,fun(state,fun(state,bool)))),combc(com1,nat,fun(state,fun(state,bool))),aa(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool)))),aa(fun(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool))))),combb(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool))),com1),combc(state,nat,fun(state,bool))),evaln)),X12))))))))),X11)) ),
file('/export/starexec/sandbox2/tmp/tmp.cgOefgO50w/Vampire---4.8_10608',fact_2_triple__valid__def) ).
tff(f600,plain,
hoare_1633586161_valid(a,n,hoare_1841697145triple(a,fun1,com,fun2)),
inference(resolution,[],[f586,f294]) ).
tff(f294,plain,
! [X0: $tType,X2: com1,X3: fun(X0,fun(state,bool)),X1: fun(X0,fun(state,bool)),X4: nat] :
( pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X2),sK4(X0,X1,X2,X3,X4)),X4),sK5(X0,X1,X2,X3,X4)))
| hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1)) ),
inference(cnf_transformation,[],[f259]) ).
tff(f259,plain,
! [X0: $tType,X1: fun(X0,fun(state,bool)),X2: com1,X3: fun(X0,fun(state,bool)),X4: nat] :
( ( hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1))
| ( ~ pp(aa(state,bool,aa(X0,fun(state,bool),X1,sK3(X0,X1,X2,X3,X4)),sK5(X0,X1,X2,X3,X4)))
& pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X2),sK4(X0,X1,X2,X3,X4)),X4),sK5(X0,X1,X2,X3,X4)))
& pp(aa(state,bool,aa(X0,fun(state,bool),X3,sK3(X0,X1,X2,X3,X4)),sK4(X0,X1,X2,X3,X4))) ) )
& ( ! [X8: X0,X9: state] :
( ! [X10: state] :
( pp(aa(state,bool,aa(X0,fun(state,bool),X1,X8),X10))
| ~ pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X2),X9),X4),X10)) )
| ~ pp(aa(state,bool,aa(X0,fun(state,bool),X3,X8),X9)) )
| ~ hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f256,f258,f257]) ).
tff(f257,plain,
! [X0: $tType,X1: fun(X0,fun(state,bool)),X2: com1,X3: fun(X0,fun(state,bool)),X4: nat] :
( ? [X5: X0,X6: state] :
( ? [X7: state] :
( ~ pp(aa(state,bool,aa(X0,fun(state,bool),X1,X5),X7))
& pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X2),X6),X4),X7)) )
& pp(aa(state,bool,aa(X0,fun(state,bool),X3,X5),X6)) )
=> ( ? [X7: state] :
( ~ pp(aa(state,bool,aa(X0,fun(state,bool),X1,sK3(X0,X1,X2,X3,X4)),X7))
& pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X2),sK4(X0,X1,X2,X3,X4)),X4),X7)) )
& pp(aa(state,bool,aa(X0,fun(state,bool),X3,sK3(X0,X1,X2,X3,X4)),sK4(X0,X1,X2,X3,X4))) ) ),
introduced(choice_axiom,[]) ).
tff(f258,plain,
! [X0: $tType,X1: fun(X0,fun(state,bool)),X2: com1,X3: fun(X0,fun(state,bool)),X4: nat] :
( ? [X7: state] :
( ~ pp(aa(state,bool,aa(X0,fun(state,bool),X1,sK3(X0,X1,X2,X3,X4)),X7))
& pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X2),sK4(X0,X1,X2,X3,X4)),X4),X7)) )
=> ( ~ pp(aa(state,bool,aa(X0,fun(state,bool),X1,sK3(X0,X1,X2,X3,X4)),sK5(X0,X1,X2,X3,X4)))
& pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X2),sK4(X0,X1,X2,X3,X4)),X4),sK5(X0,X1,X2,X3,X4))) ) ),
introduced(choice_axiom,[]) ).
tff(f256,plain,
! [X0: $tType,X1: fun(X0,fun(state,bool)),X2: com1,X3: fun(X0,fun(state,bool)),X4: nat] :
( ( hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1))
| ? [X5: X0,X6: state] :
( ? [X7: state] :
( ~ pp(aa(state,bool,aa(X0,fun(state,bool),X1,X5),X7))
& pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X2),X6),X4),X7)) )
& pp(aa(state,bool,aa(X0,fun(state,bool),X3,X5),X6)) ) )
& ( ! [X8: X0,X9: state] :
( ! [X10: state] :
( pp(aa(state,bool,aa(X0,fun(state,bool),X1,X8),X10))
| ~ pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X2),X9),X4),X10)) )
| ~ pp(aa(state,bool,aa(X0,fun(state,bool),X3,X8),X9)) )
| ~ hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1)) ) ),
inference(rectify,[],[f255]) ).
tff(f255,plain,
! [X0: $tType,X1: fun(X0,fun(state,bool)),X2: com1,X3: fun(X0,fun(state,bool)),X4: nat] :
( ( hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1))
| ? [X5: X0,X6: state] :
( ? [X7: state] :
( ~ pp(aa(state,bool,aa(X0,fun(state,bool),X1,X5),X7))
& pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X2),X6),X4),X7)) )
& pp(aa(state,bool,aa(X0,fun(state,bool),X3,X5),X6)) ) )
& ( ! [X5: X0,X6: state] :
( ! [X7: state] :
( pp(aa(state,bool,aa(X0,fun(state,bool),X1,X5),X7))
| ~ pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X2),X6),X4),X7)) )
| ~ pp(aa(state,bool,aa(X0,fun(state,bool),X3,X5),X6)) )
| ~ hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1)) ) ),
inference(nnf_transformation,[],[f215]) ).
tff(f215,plain,
! [X0: $tType,X1: fun(X0,fun(state,bool)),X2: com1,X3: fun(X0,fun(state,bool)),X4: nat] :
( hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1))
<=> ! [X5: X0,X6: state] :
( ! [X7: state] :
( pp(aa(state,bool,aa(X0,fun(state,bool),X1,X5),X7))
| ~ pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X2),X6),X4),X7)) )
| ~ pp(aa(state,bool,aa(X0,fun(state,bool),X3,X5),X6)) ) ),
inference(ennf_transformation,[],[f117]) ).
tff(f117,plain,
! [X0: $tType,X1: fun(X0,fun(state,bool)),X2: com1,X3: fun(X0,fun(state,bool)),X4: nat] :
( hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1))
<=> ! [X5: X0,X6: state] :
( pp(aa(state,bool,aa(X0,fun(state,bool),X3,X5),X6))
=> ! [X7: state] :
( pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X2),X6),X4),X7))
=> pp(aa(state,bool,aa(X0,fun(state,bool),X1,X5),X7)) ) ) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X1: $tType,X23: fun(X1,fun(state,bool)),X24: com1,X25: fun(X1,fun(state,bool)),X12: nat] :
( hoare_1633586161_valid(X1,X12,hoare_1841697145triple(X1,X25,X24,X23))
<=> ! [X26: X1,X27: state] :
( pp(aa(state,bool,aa(X1,fun(state,bool),X25,X26),X27))
=> ! [X28: state] :
( pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X24),X27),X12),X28))
=> pp(aa(state,bool,aa(X1,fun(state,bool),X23,X26),X28)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.cgOefgO50w/Vampire---4.8_10608',fact_7_triple__valid__def2) ).
tff(f586,plain,
~ pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,com),sK4(a,fun2,com,fun1,n)),n),sK5(a,fun2,com,fun1,n))),
inference(resolution,[],[f585,f290]) ).
tff(f290,plain,
! [X2: state,X3: com1,X0: state,X1: nat] :
( pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X3),X2),suc(X1)),X0))
| ~ pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X3),X2),X1),X0)) ),
inference(cnf_transformation,[],[f213]) ).
tff(f213,plain,
! [X0: state,X1: nat,X2: state,X3: com1] :
( pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X3),X2),suc(X1)),X0))
| ~ pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X3),X2),X1),X0)) ),
inference(ennf_transformation,[],[f115]) ).
tff(f115,plain,
! [X0: state,X1: nat,X2: state,X3: com1] :
( pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X3),X2),X1),X0))
=> pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X3),X2),suc(X1)),X0)) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X15: state,X16: nat,X17: state,X18: com1] :
( pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X18),X17),X16),X15))
=> pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X18),X17),suc(X16)),X15)) ),
file('/export/starexec/sandbox2/tmp/tmp.cgOefgO50w/Vampire---4.8_10608',fact_5_evaln__Suc) ).
tff(f585,plain,
~ pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,com),sK4(a,fun2,com,fun1,n)),suc(n)),sK5(a,fun2,com,fun1,n))),
inference(subsumption_resolution,[],[f582,f565]) ).
tff(f582,plain,
( ~ pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,com),sK4(a,fun2,com,fun1,n)),suc(n)),sK5(a,fun2,com,fun1,n)))
| hoare_1633586161_valid(a,n,hoare_1841697145triple(a,fun1,com,fun2)) ),
inference(resolution,[],[f580,f293]) ).
tff(f293,plain,
! [X0: $tType,X2: com1,X3: fun(X0,fun(state,bool)),X1: fun(X0,fun(state,bool)),X4: nat] :
( pp(aa(state,bool,aa(X0,fun(state,bool),X3,sK3(X0,X1,X2,X3,X4)),sK4(X0,X1,X2,X3,X4)))
| hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1)) ),
inference(cnf_transformation,[],[f259]) ).
tff(f580,plain,
! [X0: state] :
( ~ pp(aa(state,bool,aa(a,fun(state,bool),fun1,sK3(a,fun2,com,fun1,n)),X0))
| ~ pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,com),X0),suc(n)),sK5(a,fun2,com,fun1,n))) ),
inference(resolution,[],[f579,f565]) ).
tff(f579,plain,
! [X2: nat,X3: state,X0: com1,X1: fun(a,fun(state,bool))] :
( hoare_1633586161_valid(a,X2,hoare_1841697145triple(a,X1,X0,fun2))
| ~ pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,com),X3),suc(n)),sK5(a,fun2,X0,X1,X2)))
| ~ pp(aa(state,bool,aa(a,fun(state,bool),fun1,sK3(a,fun2,X0,X1,X2)),X3)) ),
inference(resolution,[],[f578,f295]) ).
tff(f295,plain,
! [X0: $tType,X2: com1,X3: fun(X0,fun(state,bool)),X1: fun(X0,fun(state,bool)),X4: nat] :
( ~ pp(aa(state,bool,aa(X0,fun(state,bool),X1,sK3(X0,X1,X2,X3,X4)),sK5(X0,X1,X2,X3,X4)))
| hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1)) ),
inference(cnf_transformation,[],[f259]) ).
tff(f578,plain,
! [X2: a,X0: state,X1: state] :
( pp(aa(state,bool,aa(a,fun(state,bool),fun2,X2),X1))
| ~ pp(aa(state,bool,aa(a,fun(state,bool),fun1,X2),X0))
| ~ pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,com),X0),suc(n)),X1)) ),
inference(resolution,[],[f577,f292]) ).
tff(f292,plain,
! [X0: $tType,X2: com1,X3: fun(X0,fun(state,bool)),X10: state,X1: fun(X0,fun(state,bool)),X8: X0,X9: state,X4: nat] :
( ~ hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1))
| ~ pp(aa(state,bool,aa(nat,fun(state,bool),aa(state,fun(nat,fun(state,bool)),aa(com1,fun(state,fun(nat,fun(state,bool))),evaln,X2),X9),X4),X10))
| ~ pp(aa(state,bool,aa(X0,fun(state,bool),X3,X8),X9))
| pp(aa(state,bool,aa(X0,fun(state,bool),X1,X8),X10)) ),
inference(cnf_transformation,[],[f259]) ).
tff(f577,plain,
hoare_1633586161_valid(a,suc(n),hoare_1841697145triple(a,fun1,com,fun2)),
inference(resolution,[],[f417,f286]) ).
tff(f286,plain,
! [X0: $tType,X2: nat,X1: hoare_28830079triple(X0)] :
( ~ pp(hoare_376461865e_case(X0,bool,aa(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),bool))),aa(fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(com1,fun(fun(X0,fun(state,bool)),bool))),fun(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),bool)))),combb(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(com1,fun(fun(X0,fun(state,bool)),bool)),fun(X0,fun(state,bool))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(X0,fun(state,bool)),bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(com1,fun(fun(X0,fun(state,bool)),bool))),combb(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(X0,fun(state,bool)),bool),com1),aa(fun(fun(X0,bool),bool),fun(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(X0,fun(state,bool)),bool)),combb(fun(X0,bool),bool,fun(X0,fun(state,bool))),fAll(X0)))),aa(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),aa(fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),fun(fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))))),combb(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(X0,fun(state,bool))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,bool))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,bool)))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,bool)),com1),aa(fun(fun(X0,fun(state,bool)),fun(X0,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,bool))),combb(fun(X0,fun(state,bool)),fun(X0,bool),fun(X0,fun(state,bool))),aa(fun(fun(state,bool),bool),fun(fun(X0,fun(state,bool)),fun(X0,bool)),combb(fun(state,bool),bool,X0),fAll(state))))),aa(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),aa(fun(fun(X0,fun(state,bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),combc(fun(X0,fun(state,bool)),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),aa(fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),aa(fun(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),fun(fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(X0,fun(state,bool)),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))))),combb(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(X0,fun(state,bool))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),com1)),aa(fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),fun(fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(X0,fun(state,bool))),combb(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),aa(fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),aa(fun(fun(X0,fun(fun(state,bool),fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),combb(fun(X0,fun(fun(state,bool),fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),fun(X0,fun(state,bool))),combs(X0,fun(state,bool),fun(state,bool))),aa(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(bool,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(X0,fun(state,fun(bool,bool))),fun(X0,fun(fun(state,bool),fun(state,bool)))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(bool,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(fun(state,bool),fun(state,bool))))),combb(fun(X0,fun(state,fun(bool,bool))),fun(X0,fun(fun(state,bool),fun(state,bool))),fun(X0,fun(state,bool))),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(X0,fun(state,fun(bool,bool))),fun(X0,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),X0),combs(state,bool,bool))),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),X0),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))))))),aa(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),aa(fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),fun(fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))))),combb(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),com1),aa(fun(fun(X0,fun(state,fun(state,bool))),fun(X0,fun(state,bool))),fun(fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,bool)))),combb(fun(X0,fun(state,fun(state,bool))),fun(X0,fun(state,bool)),fun(X0,fun(state,bool))),aa(fun(fun(state,fun(state,bool)),fun(state,bool)),fun(fun(X0,fun(state,fun(state,bool))),fun(X0,fun(state,bool))),combb(fun(state,fun(state,bool)),fun(state,bool),X0),aa(fun(fun(state,bool),bool),fun(fun(state,fun(state,bool)),fun(state,bool)),combb(fun(state,bool),bool,state),fAll(state))))),aa(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),aa(fun(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool))))),fun(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))))),combb(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(X0,fun(state,bool)),fun(X0,fun(state,fun(state,bool)))),com1),combb(fun(state,bool),fun(state,fun(state,bool)),X0)),aa(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),aa(fun(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool))))),combb(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool))),com1),combc(state,fun(state,bool),fun(state,bool))),aa(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),fun(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool))))),combb(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool))),com1),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),state),combs(state,bool,bool))),aa(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool)))),aa(fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),fun(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool))))),combb(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool))),com1),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),state),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))),aa(nat,fun(com1,fun(state,fun(state,bool))),aa(fun(com1,fun(nat,fun(state,fun(state,bool)))),fun(nat,fun(com1,fun(state,fun(state,bool)))),combc(com1,nat,fun(state,fun(state,bool))),aa(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool)))),aa(fun(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool))))),combb(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool))),com1),combc(state,nat,fun(state,bool))),evaln)),X2))))))))),X1))
| hoare_1633586161_valid(X0,X2,X1) ),
inference(cnf_transformation,[],[f251]) ).
tff(f417,plain,
pp(hoare_376461865e_case(a,bool,aa(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),bool))),aa(fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool))),fun(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),bool)))),combb(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool)),fun(a,fun(state,bool))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(com1,fun(fun(a,fun(state,bool)),bool))),combb(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool),com1),aa(fun(fun(a,bool),bool),fun(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(a,fun(state,bool)),bool)),combb(fun(a,bool),bool,fun(a,fun(state,bool))),fAll(a)))),aa(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),aa(fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),fun(fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))))),combb(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool))),fun(a,fun(state,bool))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,bool)))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool)),com1),aa(fun(fun(a,fun(state,bool)),fun(a,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,bool))),combb(fun(a,fun(state,bool)),fun(a,bool),fun(a,fun(state,bool))),aa(fun(fun(state,bool),bool),fun(fun(a,fun(state,bool)),fun(a,bool)),combb(fun(state,bool),bool,a),fAll(state))))),aa(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),combc(fun(a,fun(state,bool)),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),aa(fun(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),fun(fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(a,fun(state,bool)),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))))),combb(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(a,fun(state,bool))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),com1)),aa(fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),fun(fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(a,fun(state,bool))),combb(fun(a,fun(state,bool)),fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),combb(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),fun(a,fun(state,bool))),combs(a,fun(state,bool),fun(state,bool))),aa(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool)))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(fun(state,bool),fun(state,bool))))),combb(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),fun(a,fun(state,bool))),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a),combs(state,bool,bool))),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),a),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))))))),aa(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),aa(fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),fun(fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))))),combb(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool))),com1),aa(fun(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool))),fun(fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),fun(fun(a,fun(state,bool)),fun(a,fun(state,bool)))),combb(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool)),fun(a,fun(state,bool))),aa(fun(fun(state,fun(state,bool)),fun(state,bool)),fun(fun(a,fun(state,fun(state,bool))),fun(a,fun(state,bool))),combb(fun(state,fun(state,bool)),fun(state,bool),a),aa(fun(fun(state,bool),bool),fun(fun(state,fun(state,bool)),fun(state,bool)),combb(fun(state,bool),bool,state),fAll(state))))),aa(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),aa(fun(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool))))),fun(fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),fun(com1,fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))))),combb(fun(fun(state,bool),fun(state,fun(state,bool))),fun(fun(a,fun(state,bool)),fun(a,fun(state,fun(state,bool)))),com1),combb(fun(state,bool),fun(state,fun(state,bool)),a)),aa(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool)))),aa(fun(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),fun(com1,fun(fun(state,bool),fun(state,fun(state,bool))))),combb(fun(state,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(state,fun(state,bool))),com1),combc(state,fun(state,bool),fun(state,bool))),aa(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool)))),aa(fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),fun(fun(com1,fun(state,fun(state,fun(bool,bool)))),fun(com1,fun(state,fun(fun(state,bool),fun(state,bool))))),combb(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool))),com1),aa(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(state,fun(state,fun(bool,bool))),fun(state,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),state),combs(state,bool,bool))),aa(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool)))),aa(fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),fun(fun(com1,fun(state,fun(state,bool))),fun(com1,fun(state,fun(state,fun(bool,bool))))),combb(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool))),com1),aa(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(state,fun(state,bool)),fun(state,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),state),aa(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fimplies))),aa(nat,fun(com1,fun(state,fun(state,bool))),aa(fun(com1,fun(nat,fun(state,fun(state,bool)))),fun(nat,fun(com1,fun(state,fun(state,bool)))),combc(com1,nat,fun(state,fun(state,bool))),aa(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool)))),aa(fun(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool)))),fun(fun(com1,fun(state,fun(nat,fun(state,bool)))),fun(com1,fun(nat,fun(state,fun(state,bool))))),combb(fun(state,fun(nat,fun(state,bool))),fun(nat,fun(state,fun(state,bool))),com1),combc(state,nat,fun(state,bool))),evaln)),suc(n)))))))))),hoare_1841697145triple(a,fun1,com,fun2))),
inference(cnf_transformation,[],[f248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWW507_5 : TPTP v8.1.2. Released v6.0.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32 % Computer : n003.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 18:05:18 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TF1_THM_EQU_NAR problem
% 0.11/0.32 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.cgOefgO50w/Vampire---4.8_10608
% 0.65/0.85 % (10730)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.65/0.85 % (10727)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.65/0.85 % (10725)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2994ds/34Mi)
% 0.65/0.85 % (10726)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2994ds/51Mi)
% 0.65/0.85 % (10731)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2994ds/83Mi)
% 0.65/0.85 % (10729)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2994ds/34Mi)
% 0.65/0.85 % (10732)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.65/0.85 % (10728)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.65/0.86 % (10731)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.65/0.86 % (10732)Refutation not found, incomplete strategy% (10732)------------------------------
% 0.65/0.86 % (10732)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.86 % (10732)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.86
% 0.65/0.86 % (10732)Memory used [KB]: 1258
% 0.65/0.86 % (10732)Time elapsed: 0.007 s
% 0.65/0.86 % (10732)Instructions burned: 14 (million)
% 0.65/0.86 % (10732)------------------------------
% 0.65/0.86 % (10732)------------------------------
% 0.65/0.86 % (10731)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.65/0.86 % (10725)Refutation not found, incomplete strategy% (10725)------------------------------
% 0.65/0.86 % (10725)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.86 % (10725)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.86
% 0.65/0.86 % (10725)Memory used [KB]: 1325
% 0.65/0.86 % (10725)Time elapsed: 0.012 s
% 0.65/0.86 % (10725)Instructions burned: 25 (million)
% 0.65/0.86 % (10725)------------------------------
% 0.65/0.86 % (10725)------------------------------
% 0.65/0.86 % (10729)Refutation not found, incomplete strategy% (10729)------------------------------
% 0.65/0.86 % (10729)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.86 % (10729)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.86
% 0.65/0.86 % (10729)Memory used [KB]: 1516
% 0.65/0.86 % (10729)Time elapsed: 0.014 s
% 0.65/0.86 % (10729)Instructions burned: 30 (million)
% 0.65/0.86 % (10729)------------------------------
% 0.65/0.86 % (10729)------------------------------
% 0.65/0.86 % (10728)Instruction limit reached!
% 0.65/0.86 % (10728)------------------------------
% 0.65/0.86 % (10728)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.86 % (10728)Termination reason: Unknown
% 0.65/0.86 % (10728)Termination phase: Saturation
% 0.65/0.86
% 0.65/0.86 % (10728)Memory used [KB]: 1407
% 0.65/0.86 % (10728)Time elapsed: 0.014 s
% 0.65/0.86 % (10728)Instructions burned: 33 (million)
% 0.65/0.86 % (10728)------------------------------
% 0.65/0.86 % (10728)------------------------------
% 0.65/0.87 % (10735)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2994ds/50Mi)
% 0.65/0.87 % (10730)Instruction limit reached!
% 0.65/0.87 % (10730)------------------------------
% 0.65/0.87 % (10730)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.87 % (10730)Termination reason: Unknown
% 0.65/0.87 % (10730)Termination phase: Saturation
% 0.65/0.87
% 0.65/0.87 % (10730)Memory used [KB]: 1426
% 0.65/0.87 % (10730)Time elapsed: 0.013 s
% 0.65/0.87 % (10730)Instructions burned: 47 (million)
% 0.65/0.87 % (10730)------------------------------
% 0.65/0.87 % (10730)------------------------------
% 0.65/0.87 % (10736)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/208Mi)
% 0.65/0.87 % (10737)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2994ds/52Mi)
% 0.73/0.87 % (10734)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2994ds/55Mi)
% 0.73/0.87 % (10726)Instruction limit reached!
% 0.73/0.87 % (10726)------------------------------
% 0.73/0.87 % (10726)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.87 % (10726)Termination reason: Unknown
% 0.73/0.87 % (10726)Termination phase: Saturation
% 0.73/0.87
% 0.73/0.87 % (10726)Memory used [KB]: 1702
% 0.73/0.87 % (10726)Time elapsed: 0.025 s
% 0.73/0.87 % (10726)Instructions burned: 52 (million)
% 0.73/0.87 % (10726)------------------------------
% 0.73/0.87 % (10726)------------------------------
% 0.73/0.88 % (10739)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2994ds/42Mi)
% 0.73/0.88 % (10738)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2994ds/518Mi)
% 0.73/0.88 % (10727)Instruction limit reached!
% 0.73/0.88 % (10727)------------------------------
% 0.73/0.88 % (10727)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.88 % (10727)Termination reason: Unknown
% 0.73/0.88 % (10727)Termination phase: Saturation
% 0.73/0.88
% 0.73/0.88 % (10727)Memory used [KB]: 2137
% 0.73/0.88 % (10727)Time elapsed: 0.035 s
% 0.73/0.88 % (10727)Instructions burned: 79 (million)
% 0.73/0.88 % (10727)------------------------------
% 0.73/0.88 % (10727)------------------------------
% 0.73/0.88 % (10731)Instruction limit reached!
% 0.73/0.88 % (10731)------------------------------
% 0.73/0.88 % (10731)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.88 % (10731)Termination reason: Unknown
% 0.73/0.88 % (10731)Termination phase: Saturation
% 0.73/0.88
% 0.73/0.88 % (10731)Memory used [KB]: 2231
% 0.73/0.88 % (10731)Time elapsed: 0.035 s
% 0.73/0.88 % (10731)Instructions burned: 85 (million)
% 0.73/0.88 % (10731)------------------------------
% 0.73/0.88 % (10731)------------------------------
% 0.73/0.89 % (10740)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2994ds/243Mi)
% 0.73/0.89 % (10741)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.73/0.89 % (10735)Instruction limit reached!
% 0.73/0.89 % (10735)------------------------------
% 0.73/0.89 % (10735)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.89 % (10735)Termination reason: Unknown
% 0.73/0.89 % (10735)Termination phase: Saturation
% 0.73/0.89
% 0.73/0.89 % (10735)Memory used [KB]: 1922
% 0.73/0.89 % (10735)Time elapsed: 0.025 s
% 0.73/0.89 % (10735)Instructions burned: 51 (million)
% 0.73/0.89 % (10735)------------------------------
% 0.73/0.89 % (10735)------------------------------
% 0.73/0.89 % (10740)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.73/0.89 % (10737)Instruction limit reached!
% 0.73/0.89 % (10737)------------------------------
% 0.73/0.89 % (10737)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.89 % (10737)Termination reason: Unknown
% 0.73/0.89 % (10737)Termination phase: Saturation
% 0.73/0.89
% 0.73/0.89 % (10737)Memory used [KB]: 2344
% 0.73/0.89 % (10737)Time elapsed: 0.024 s
% 0.73/0.89 % (10737)Instructions burned: 52 (million)
% 0.73/0.89 % (10737)------------------------------
% 0.73/0.89 % (10737)------------------------------
% 0.73/0.89 % (10741)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.73/0.89 % (10742)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2994ds/143Mi)
% 0.73/0.89 % (10743)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2994ds/93Mi)
% 0.73/0.89 % (10742)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.73/0.90 % (10743)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.73/0.90 % (10734)Instruction limit reached!
% 0.73/0.90 % (10734)------------------------------
% 0.73/0.90 % (10734)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.90 % (10734)Termination reason: Unknown
% 0.73/0.90 % (10734)Termination phase: Saturation
% 0.73/0.90
% 0.73/0.90 % (10734)Memory used [KB]: 2055
% 0.73/0.90 % (10734)Time elapsed: 0.059 s
% 0.73/0.90 % (10734)Instructions burned: 55 (million)
% 0.73/0.90 % (10734)------------------------------
% 0.73/0.90 % (10734)------------------------------
% 0.73/0.90 % (10739)Instruction limit reached!
% 0.73/0.90 % (10739)------------------------------
% 0.73/0.90 % (10739)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.90 % (10739)Termination reason: Unknown
% 0.73/0.90 % (10739)Termination phase: Saturation
% 0.73/0.90
% 0.73/0.90 % (10739)Memory used [KB]: 1805
% 0.73/0.90 % (10739)Time elapsed: 0.020 s
% 0.73/0.90 % (10739)Instructions burned: 44 (million)
% 0.73/0.90 % (10739)------------------------------
% 0.73/0.90 % (10739)------------------------------
% 0.73/0.90 % (10746)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2994ds/32Mi)
% 0.73/0.90 % (10746)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.73/0.91 % (10741)First to succeed.
% 0.73/0.91 % (10745)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2994ds/62Mi)
% 0.73/0.91 % (10745)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.73/0.91 % (10746)Instruction limit reached!
% 0.73/0.91 % (10746)------------------------------
% 0.73/0.91 % (10746)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.91 % (10746)Termination reason: Unknown
% 0.73/0.91 % (10746)Termination phase: Saturation
% 0.73/0.91
% 0.73/0.91 % (10746)Memory used [KB]: 1420
% 0.73/0.91 % (10746)Time elapsed: 0.016 s
% 0.73/0.91 % (10746)Instructions burned: 33 (million)
% 0.73/0.91 % (10746)------------------------------
% 0.73/0.91 % (10746)------------------------------
% 0.73/0.92 % (10747)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2994ds/1919Mi)
% 0.73/0.92 % (10741)Refutation found. Thanks to Tanya!
% 0.73/0.92 % SZS status Theorem for Vampire---4
% 0.73/0.92 % SZS output start Proof for Vampire---4
% See solution above
% 0.73/0.93 % (10741)------------------------------
% 0.73/0.93 % (10741)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.93 % (10741)Termination reason: Refutation
% 0.73/0.93
% 0.73/0.93 % (10741)Memory used [KB]: 1637
% 0.73/0.93 % (10741)Time elapsed: 0.037 s
% 0.73/0.93 % (10741)Instructions burned: 86 (million)
% 0.73/0.93 % (10741)------------------------------
% 0.73/0.93 % (10741)------------------------------
% 0.73/0.93 % (10719)Success in time 0.597 s
% 0.73/0.93 % Vampire---4.8 exiting
%------------------------------------------------------------------------------