TSTP Solution File: SWW521_5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW521_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.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 : Sun May 5 11:18:50 EDT 2024
% Result : Theorem 0.57s 0.74s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 58
% Syntax : Number of formulae : 92 ( 11 unt; 49 typ; 0 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 125 ( 48 ~; 36 |; 19 &)
% ( 2 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 47 ( 29 >; 18 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-6 aty)
% Number of functors : 31 ( 31 usr; 8 con; 0-5 aty)
% Number of variables : 135 ( 85 !; 12 ?; 135 :)
% ( 38 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
hoare_28830079triple: $tType > $tType ).
tff(type_def_8,type,
nat: $tType ).
tff(type_def_9,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).
tff(func_def_1,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * X1 ) > fun(X0,X2) ) ).
tff(func_def_2,type,
uminus_uminus:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_3,type,
suc: nat > nat ).
tff(func_def_4,type,
semiri532925092at_aux:
!>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).
tff(func_def_5,type,
powp:
!>[X0: $tType] : ( fun(X0,bool) > fun(fun(X0,bool),bool) ) ).
tff(func_def_6,type,
ord_atLeast:
!>[X0: $tType] : ( X0 > fun(X0,bool) ) ).
tff(func_def_7,type,
ord_atMost:
!>[X0: $tType] : ( X0 > fun(X0,bool) ) ).
tff(func_def_8,type,
ord_greaterThan:
!>[X0: $tType] : ( X0 > fun(X0,bool) ) ).
tff(func_def_9,type,
ord_lessThan:
!>[X0: $tType] : ( X0 > fun(X0,bool) ) ).
tff(func_def_10,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_11,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_12,type,
fFalse: bool ).
tff(func_def_13,type,
fNot: fun(bool,bool) ).
tff(func_def_14,type,
fTrue: bool ).
tff(func_def_15,type,
member:
!>[X0: $tType] : fun(X0,fun(fun(X0,bool),bool)) ).
tff(func_def_16,type,
ga: fun(hoare_28830079triple(a),bool) ).
tff(func_def_17,type,
ts: fun(hoare_28830079triple(a),bool) ).
tff(func_def_18,type,
tsa: fun(hoare_28830079triple(a),bool) ).
tff(func_def_19,type,
sK0: nat > hoare_28830079triple(a) ).
tff(func_def_20,type,
sK1: nat ).
tff(func_def_21,type,
sK2: hoare_28830079triple(a) ).
tff(func_def_22,type,
sK3:
!>[X0: $tType] : ( ( nat * fun(hoare_28830079triple(X0),bool) ) > hoare_28830079triple(X0) ) ).
tff(func_def_23,type,
sK4:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_24,type,
sK5:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_25,type,
sK6: ( fun(nat,bool) * nat ) > nat ).
tff(func_def_26,type,
sK7: fun(nat,bool) > nat ).
tff(func_def_27,type,
sK8:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_28,type,
sK9: nat > nat ).
tff(pred_def_1,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
group_add:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
boolean_algebra:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
ordered_ab_group_add:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
hoare_992312373derivs:
!>[X0: $tType] : ( ( fun(hoare_28830079triple(X0),bool) * fun(hoare_28830079triple(X0),bool) ) > $o ) ).
tff(pred_def_10,type,
hoare_592965047valids:
!>[X0: $tType] : ( ( fun(hoare_28830079triple(X0),bool) * fun(hoare_28830079triple(X0),bool) ) > $o ) ).
tff(pred_def_11,type,
hoare_1633586161_valid:
!>[X0: $tType] : ( ( nat * hoare_28830079triple(X0) ) > $o ) ).
tff(pred_def_12,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_13,type,
order_strict_mono:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).
tff(pred_def_14,type,
inv_imagep:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X1,X0) * X1 * X1 ) > $o ) ).
tff(pred_def_15,type,
pp: bool > $o ).
tff(f985,plain,
$false,
inference(subsumption_resolution,[],[f946,f866]) ).
tff(f866,plain,
~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),sK0(sK1)),ga)),
inference(unit_resulting_resolution,[],[f854,f267]) ).
tff(f267,plain,
! [X2: hoare_28830079triple(a)] :
( ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ga))
| hoare_1633586161_valid(a,sK1,X2) ),
inference(cnf_transformation,[],[f236]) ).
tff(f236,plain,
( ~ hoare_1633586161_valid(a,sK1,sK2)
& pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),sK2),tsa))
& ! [X2: hoare_28830079triple(a)] :
( hoare_1633586161_valid(a,sK1,X2)
| ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ga)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f179,f235,f234]) ).
tff(f234,plain,
( ? [X0: nat] :
( ? [X1: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,X0,X1)
& pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),tsa)) )
& ! [X2: hoare_28830079triple(a)] :
( hoare_1633586161_valid(a,X0,X2)
| ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ga)) ) )
=> ( ? [X1: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,sK1,X1)
& pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),tsa)) )
& ! [X2: hoare_28830079triple(a)] :
( hoare_1633586161_valid(a,sK1,X2)
| ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ga)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f235,plain,
( ? [X1: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,sK1,X1)
& pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),tsa)) )
=> ( ~ hoare_1633586161_valid(a,sK1,sK2)
& pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),sK2),tsa)) ) ),
introduced(choice_axiom,[]) ).
tff(f179,plain,
? [X0: nat] :
( ? [X1: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,X0,X1)
& pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),tsa)) )
& ! [X2: hoare_28830079triple(a)] :
( hoare_1633586161_valid(a,X0,X2)
| ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ga)) ) ),
inference(ennf_transformation,[],[f125]) ).
tff(f125,plain,
~ ! [X0: nat] :
( ! [X1: hoare_28830079triple(a)] :
( pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),tsa))
=> hoare_1633586161_valid(a,X0,X1) )
| ? [X2: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,X0,X2)
& pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ga)) ) ),
inference(rectify,[],[f123]) ).
tff(f123,negated_conjecture,
~ ! [X42: nat] :
( ! [X25: hoare_28830079triple(a)] :
( pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X25),tsa))
=> hoare_1633586161_valid(a,X42,X25) )
| ? [X31: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,X42,X31)
& pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X31),ga)) ) ),
inference(negated_conjecture,[],[f122]) ).
tff(f122,conjecture,
! [X42: nat] :
( ! [X25: hoare_28830079triple(a)] :
( pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X25),tsa))
=> hoare_1633586161_valid(a,X42,X25) )
| ? [X31: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,X42,X31)
& pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X31),ga)) ) ),
file('/export/starexec/sandbox/tmp/tmp.Bf4P0IeXxo/Vampire---4.8_29088',conj_3) ).
tff(f854,plain,
~ hoare_1633586161_valid(a,sK1,sK0(sK1)),
inference(unit_resulting_resolution,[],[f269,f560,f588]) ).
tff(f588,plain,
! [X0: nat,X1: hoare_28830079triple(a)] :
( ~ pp(aa(hoare_28830079triple(a),bool,ts,X1))
| ~ hoare_1633586161_valid(a,X0,sK0(X0))
| hoare_1633586161_valid(a,X0,X1) ),
inference(resolution,[],[f265,f302]) ).
tff(f302,plain,
! [X0: $tType,X2: X0,X1: fun(X0,bool)] :
( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1))
| ~ pp(aa(X0,bool,X1,X2)) ),
inference(cnf_transformation,[],[f251]) ).
tff(f251,plain,
! [X0: $tType,X1: fun(X0,bool),X2: X0] :
( ( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1))
| ~ pp(aa(X0,bool,X1,X2)) )
& ( pp(aa(X0,bool,X1,X2))
| ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1)) ) ),
inference(nnf_transformation,[],[f149]) ).
tff(f149,plain,
! [X0: $tType,X1: fun(X0,bool),X2: X0] :
( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1))
<=> pp(aa(X0,bool,X1,X2)) ),
inference(rectify,[],[f75]) ).
tff(f75,axiom,
! [X1: $tType,X9: fun(X1,bool),X15: X1] :
( pp(aa(fun(X1,bool),bool,aa(X1,fun(fun(X1,bool),bool),member(X1),X15),X9))
<=> pp(aa(X1,bool,X9,X15)) ),
file('/export/starexec/sandbox/tmp/tmp.Bf4P0IeXxo/Vampire---4.8_29088',fact_74_mem__def) ).
tff(f265,plain,
! [X0: nat,X1: hoare_28830079triple(a)] :
( ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),ts))
| hoare_1633586161_valid(a,X0,X1)
| ~ hoare_1633586161_valid(a,X0,sK0(X0)) ),
inference(cnf_transformation,[],[f233]) ).
tff(f233,plain,
! [X0: nat] :
( ! [X1: hoare_28830079triple(a)] :
( hoare_1633586161_valid(a,X0,X1)
| ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),ts)) )
| ( ~ hoare_1633586161_valid(a,X0,sK0(X0))
& pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),sK0(X0)),ga)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f231,f232]) ).
tff(f232,plain,
! [X0: nat] :
( ? [X2: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,X0,X2)
& pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ga)) )
=> ( ~ hoare_1633586161_valid(a,X0,sK0(X0))
& pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),sK0(X0)),ga)) ) ),
introduced(choice_axiom,[]) ).
tff(f231,plain,
! [X0: nat] :
( ! [X1: hoare_28830079triple(a)] :
( hoare_1633586161_valid(a,X0,X1)
| ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),ts)) )
| ? [X2: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,X0,X2)
& pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ga)) ) ),
inference(rectify,[],[f178]) ).
tff(f178,plain,
! [X0: nat] :
( ! [X2: hoare_28830079triple(a)] :
( hoare_1633586161_valid(a,X0,X2)
| ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ts)) )
| ? [X1: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,X0,X1)
& pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),ga)) ) ),
inference(ennf_transformation,[],[f124]) ).
tff(f124,plain,
! [X0: nat] :
( ! [X1: hoare_28830079triple(a)] :
( pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),ga))
=> hoare_1633586161_valid(a,X0,X1) )
=> ! [X2: hoare_28830079triple(a)] :
( pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ts))
=> hoare_1633586161_valid(a,X0,X2) ) ),
inference(rectify,[],[f120]) ).
tff(f120,axiom,
! [X55: nat] :
( ! [X25: hoare_28830079triple(a)] :
( pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X25),ga))
=> hoare_1633586161_valid(a,X55,X25) )
=> ! [X31: hoare_28830079triple(a)] :
( pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X31),ts))
=> hoare_1633586161_valid(a,X55,X31) ) ),
file('/export/starexec/sandbox/tmp/tmp.Bf4P0IeXxo/Vampire---4.8_29088',conj_1) ).
tff(f560,plain,
pp(aa(hoare_28830079triple(a),bool,ts,sK2)),
inference(unit_resulting_resolution,[],[f266,f495,f290]) ).
tff(f290,plain,
! [X0: $tType,X2: fun(X0,bool),X3: fun(X0,bool),X1: X0] :
( ~ ord_less_eq(fun(X0,bool),X3,X2)
| ~ pp(aa(X0,bool,X3,X1))
| pp(aa(X0,bool,X2,X1)) ),
inference(cnf_transformation,[],[f199]) ).
tff(f199,plain,
! [X0: $tType,X1: X0,X2: fun(X0,bool),X3: fun(X0,bool)] :
( pp(aa(X0,bool,X2,X1))
| ~ pp(aa(X0,bool,X3,X1))
| ~ ord_less_eq(fun(X0,bool),X3,X2) ),
inference(flattening,[],[f198]) ).
tff(f198,plain,
! [X0: $tType,X1: X0,X2: fun(X0,bool),X3: fun(X0,bool)] :
( pp(aa(X0,bool,X2,X1))
| ~ pp(aa(X0,bool,X3,X1))
| ~ ord_less_eq(fun(X0,bool),X3,X2) ),
inference(ennf_transformation,[],[f141]) ).
tff(f141,plain,
! [X0: $tType,X1: X0,X2: fun(X0,bool),X3: fun(X0,bool)] :
( ord_less_eq(fun(X0,bool),X3,X2)
=> ( pp(aa(X0,bool,X3,X1))
=> pp(aa(X0,bool,X2,X1)) ) ),
inference(rectify,[],[f29]) ).
tff(f29,axiom,
! [X1: $tType,X15: X1,X16: fun(X1,bool),X17: fun(X1,bool)] :
( ord_less_eq(fun(X1,bool),X17,X16)
=> ( pp(aa(X1,bool,X17,X15))
=> pp(aa(X1,bool,X16,X15)) ) ),
file('/export/starexec/sandbox/tmp/tmp.Bf4P0IeXxo/Vampire---4.8_29088',fact_28_predicate1D) ).
tff(f495,plain,
pp(aa(hoare_28830079triple(a),bool,tsa,sK2)),
inference(unit_resulting_resolution,[],[f268,f301]) ).
tff(f301,plain,
! [X0: $tType,X2: X0,X1: fun(X0,bool)] :
( ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1))
| pp(aa(X0,bool,X1,X2)) ),
inference(cnf_transformation,[],[f251]) ).
tff(f268,plain,
pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),sK2),tsa)),
inference(cnf_transformation,[],[f236]) ).
tff(f266,plain,
ord_less_eq(fun(hoare_28830079triple(a),bool),tsa,ts),
inference(cnf_transformation,[],[f121]) ).
tff(f121,axiom,
ord_less_eq(fun(hoare_28830079triple(a),bool),tsa,ts),
file('/export/starexec/sandbox/tmp/tmp.Bf4P0IeXxo/Vampire---4.8_29088',conj_2) ).
tff(f269,plain,
~ hoare_1633586161_valid(a,sK1,sK2),
inference(cnf_transformation,[],[f236]) ).
tff(f946,plain,
pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),sK0(sK1)),ga)),
inference(unit_resulting_resolution,[],[f269,f520,f264]) ).
tff(f264,plain,
! [X0: nat,X1: hoare_28830079triple(a)] :
( ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),ts))
| hoare_1633586161_valid(a,X0,X1)
| pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),sK0(X0)),ga)) ),
inference(cnf_transformation,[],[f233]) ).
tff(f520,plain,
pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),sK2),ts)),
inference(unit_resulting_resolution,[],[f266,f268,f308]) ).
tff(f308,plain,
! [X0: $tType,X2: fun(X0,bool),X3: fun(X0,bool),X1: X0] :
( ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),X3))
| pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),X2))
| ~ ord_less_eq(fun(X0,bool),X3,X2) ),
inference(cnf_transformation,[],[f216]) ).
tff(f216,plain,
! [X0: $tType,X1: X0,X2: fun(X0,bool),X3: fun(X0,bool)] :
( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),X2))
| ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),X3))
| ~ ord_less_eq(fun(X0,bool),X3,X2) ),
inference(flattening,[],[f215]) ).
tff(f215,plain,
! [X0: $tType,X1: X0,X2: fun(X0,bool),X3: fun(X0,bool)] :
( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),X2))
| ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),X3))
| ~ ord_less_eq(fun(X0,bool),X3,X2) ),
inference(ennf_transformation,[],[f154]) ).
tff(f154,plain,
! [X0: $tType,X1: X0,X2: fun(X0,bool),X3: fun(X0,bool)] :
( ord_less_eq(fun(X0,bool),X3,X2)
=> ( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),X3))
=> pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),X2)) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: $tType,X7: X1,X8: fun(X1,bool),X9: fun(X1,bool)] :
( ord_less_eq(fun(X1,bool),X9,X8)
=> ( pp(aa(fun(X1,bool),bool,aa(X1,fun(fun(X1,bool),bool),member(X1),X7),X9))
=> pp(aa(fun(X1,bool),bool,aa(X1,fun(fun(X1,bool),bool),member(X1),X7),X8)) ) ),
file('/export/starexec/sandbox/tmp/tmp.Bf4P0IeXxo/Vampire---4.8_29088',fact_4_subsetD) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW521_5 : TPTP v8.1.2. Released v6.0.0.
% 0.15/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.34 % Computer : n006.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Fri May 3 19:30:38 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.34 This is a TF1_THM_EQU_NAR problem
% 0.15/0.34 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.Bf4P0IeXxo/Vampire---4.8_29088
% 0.57/0.73 % (29349)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 (2996ds/83Mi)
% 0.57/0.73 % (29343)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 (2996ds/34Mi)
% 0.57/0.73 % (29349)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.57/0.73 % (29345)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.73 % (29344)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 (2996ds/51Mi)
% 0.57/0.73 % (29346)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.73 % (29347)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 (2996ds/34Mi)
% 0.57/0.73 % (29348)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.73 % (29349)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.57/0.74 % (29349)First to succeed.
% 0.57/0.74 % (29346)Also succeeded, but the first one will report.
% 0.57/0.74 % (29343)Also succeeded, but the first one will report.
% 0.57/0.74 % (29349)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29338"
% 0.57/0.74 % (29350)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 (2996ds/56Mi)
% 0.57/0.74 % (29348)Also succeeded, but the first one will report.
% 0.57/0.74 % (29349)Refutation found. Thanks to Tanya!
% 0.57/0.74 % SZS status Theorem for Vampire---4
% 0.57/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74 % (29349)------------------------------
% 0.57/0.74 % (29349)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (29349)Termination reason: Refutation
% 0.57/0.74
% 0.57/0.74 % (29349)Memory used [KB]: 1364
% 0.57/0.74 % (29349)Time elapsed: 0.012 s
% 0.57/0.74 % (29349)Instructions burned: 32 (million)
% 0.57/0.74 % (29338)Success in time 0.383 s
% 0.57/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------