TSTP Solution File: LCL768_5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL768_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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:42:19 EDT 2024
% Result : Theorem 0.60s 0.82s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 71
% Syntax : Number of formulae : 104 ( 16 unt; 61 typ; 0 def)
% Number of atoms : 137 ( 23 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 145 ( 51 ~; 49 |; 36 &)
% ( 8 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 78 ( 46 >; 32 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 53 ( 53 usr; 9 con; 0-5 aty)
% Number of variables : 155 ( 87 !; 12 ?; 155 :)
% ( 56 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
dB: $tType ).
tff(type_def_7,type,
list: $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)) > fun(X1,fun(X0,X2)) ) ).
tff(func_def_2,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_3,type,
combs:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).
tff(func_def_4,type,
it: fun(dB,bool) ).
tff(func_def_5,type,
app: fun(dB,fun(dB,dB)) ).
tff(func_def_6,type,
var: nat > dB ).
tff(func_def_7,type,
dB_case:
!>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,X0)) * fun(dB,X0) * dB ) > X0 ) ).
tff(func_def_8,type,
substn: ( dB * dB * nat ) > dB ).
tff(func_def_9,type,
append:
!>[X0: $tType] : fun(list(X0),fun(list(X0),list(X0))) ).
tff(func_def_10,type,
butlast:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_11,type,
foldl:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).
tff(func_def_12,type,
hd:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_13,type,
insert:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_14,type,
last:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_15,type,
cons:
!>[X0: $tType] : fun(X0,fun(list(X0),list(X0))) ).
tff(func_def_16,type,
nil:
!>[X0: $tType] : list(X0) ).
tff(func_def_17,type,
list_case:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) * list(X1) ) > X0 ) ).
tff(func_def_18,type,
maps:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,list(X1)) * list(X0) ) > list(X1) ) ).
tff(func_def_19,type,
rev:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_20,type,
rotate1:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_21,type,
splice:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_22,type,
tl:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_23,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_24,type,
fFalse: bool ).
tff(func_def_25,type,
fNot: fun(bool,bool) ).
tff(func_def_26,type,
fTrue: bool ).
tff(func_def_27,type,
fconj: fun(bool,fun(bool,bool)) ).
tff(func_def_28,type,
fdisj: fun(bool,fun(bool,bool)) ).
tff(func_def_29,type,
fequal:
!>[X0: $tType] : ( X0 > fun(X0,bool) ) ).
tff(func_def_30,type,
i: nat ).
tff(func_def_31,type,
rs: list(dB) ).
tff(func_def_32,type,
sK0:
!>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).
tff(func_def_33,type,
sK1:
!>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > list(X0) ) ).
tff(func_def_34,type,
sK2:
!>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).
tff(func_def_35,type,
sK3:
!>[X0: $tType] : ( fun(list(X0),bool) > list(X0) ) ).
tff(func_def_36,type,
sK4:
!>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).
tff(func_def_37,type,
sK5:
!>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).
tff(func_def_38,type,
sK6:
!>[X0: $tType] : ( fun(list(X0),bool) > list(X0) ) ).
tff(func_def_39,type,
sK7:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_40,type,
sK8:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_41,type,
sK9:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_42,type,
sK10:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_43,type,
sK11:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_44,type,
sK12:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_45,type,
sK13:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_46,type,
sK14:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_47,type,
sK15:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > list(X0) ) ).
tff(func_def_48,type,
sK16:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_49,type,
sK17:
!>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_50,type,
sK18:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(pred_def_1,type,
list_all:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_2,type,
list_ex1:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_3,type,
listsp:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_4,type,
pp: bool > $o ).
tff(pred_def_5,type,
sQ19_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f598,plain,
$false,
inference(avatar_sat_refutation,[],[f563,f592,f597]) ).
tff(f597,plain,
spl20_2,
inference(avatar_contradiction_clause,[],[f596]) ).
tff(f596,plain,
( $false
| spl20_2 ),
inference(subsumption_resolution,[],[f595,f280]) ).
tff(f280,plain,
! [X0: nat] : pp(aa(dB,bool,it,var(X0))),
inference(cnf_transformation,[],[f132]) ).
tff(f132,plain,
! [X0: nat] : pp(aa(dB,bool,it,var(X0))),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
! [X4: nat] : pp(aa(dB,bool,it,var(X4))),
file('/export/starexec/sandbox2/tmp/tmp.dauGutawue/Vampire---4.8_19363',fact_0_Var__IT) ).
tff(f595,plain,
( ~ pp(aa(dB,bool,it,var(i)))
| spl20_2 ),
inference(subsumption_resolution,[],[f594,f275]) ).
tff(f275,plain,
! [X0: $tType,X1: fun(X0,bool)] : listsp(X0,X1,nil(X0)),
inference(cnf_transformation,[],[f129]) ).
tff(f129,plain,
! [X0: $tType,X1: fun(X0,bool)] : listsp(X0,X1,nil(X0)),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X2: $tType,X9: fun(X2,bool)] : listsp(X2,X9,nil(X2)),
file('/export/starexec/sandbox2/tmp/tmp.dauGutawue/Vampire---4.8_19363',fact_3_listsp_ONil) ).
tff(f594,plain,
( ~ listsp(dB,it,nil(dB))
| ~ pp(aa(dB,bool,it,var(i)))
| spl20_2 ),
inference(resolution,[],[f562,f372]) ).
tff(f372,plain,
! [X0: $tType,X2: fun(X0,bool),X3: X0,X4: list(X0)] :
( listsp(X0,X2,aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X3),X4))
| ~ listsp(X0,X2,X4)
| ~ pp(aa(X0,bool,X2,X3)) ),
inference(equality_resolution,[],[f274]) ).
tff(f274,plain,
! [X0: $tType,X2: fun(X0,bool),X3: X0,X1: list(X0),X4: list(X0)] :
( listsp(X0,X2,X1)
| ~ listsp(X0,X2,X4)
| ~ pp(aa(X0,bool,X2,X3))
| ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X3),X4) != X1 ) ),
inference(cnf_transformation,[],[f199]) ).
tff(f199,plain,
! [X0: $tType,X1: list(X0),X2: fun(X0,bool)] :
( ( listsp(X0,X2,X1)
| ( ! [X3: X0,X4: list(X0)] :
( ~ listsp(X0,X2,X4)
| ~ pp(aa(X0,bool,X2,X3))
| ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X3),X4) != X1 ) )
& ( nil(X0) != X1 ) ) )
& ( ( listsp(X0,X2,sK1(X0,X1,X2))
& pp(aa(X0,bool,X2,sK0(X0,X1,X2)))
& ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),sK0(X0,X1,X2)),sK1(X0,X1,X2)) = X1 ) )
| ( nil(X0) = X1 )
| ~ listsp(X0,X2,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f197,f198]) ).
tff(f198,plain,
! [X0: $tType,X1: list(X0),X2: fun(X0,bool)] :
( ? [X5: X0,X6: list(X0)] :
( listsp(X0,X2,X6)
& pp(aa(X0,bool,X2,X5))
& ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X5),X6) = X1 ) )
=> ( listsp(X0,X2,sK1(X0,X1,X2))
& pp(aa(X0,bool,X2,sK0(X0,X1,X2)))
& ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),sK0(X0,X1,X2)),sK1(X0,X1,X2)) = X1 ) ) ),
introduced(choice_axiom,[]) ).
tff(f197,plain,
! [X0: $tType,X1: list(X0),X2: fun(X0,bool)] :
( ( listsp(X0,X2,X1)
| ( ! [X3: X0,X4: list(X0)] :
( ~ listsp(X0,X2,X4)
| ~ pp(aa(X0,bool,X2,X3))
| ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X3),X4) != X1 ) )
& ( nil(X0) != X1 ) ) )
& ( ? [X5: X0,X6: list(X0)] :
( listsp(X0,X2,X6)
& pp(aa(X0,bool,X2,X5))
& ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X5),X6) = X1 ) )
| ( nil(X0) = X1 )
| ~ listsp(X0,X2,X1) ) ),
inference(rectify,[],[f196]) ).
tff(f196,plain,
! [X0: $tType,X1: list(X0),X2: fun(X0,bool)] :
( ( listsp(X0,X2,X1)
| ( ! [X3: X0,X4: list(X0)] :
( ~ listsp(X0,X2,X4)
| ~ pp(aa(X0,bool,X2,X3))
| ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X3),X4) != X1 ) )
& ( nil(X0) != X1 ) ) )
& ( ? [X3: X0,X4: list(X0)] :
( listsp(X0,X2,X4)
& pp(aa(X0,bool,X2,X3))
& ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X3),X4) = X1 ) )
| ( nil(X0) = X1 )
| ~ listsp(X0,X2,X1) ) ),
inference(flattening,[],[f195]) ).
tff(f195,plain,
! [X0: $tType,X1: list(X0),X2: fun(X0,bool)] :
( ( listsp(X0,X2,X1)
| ( ! [X3: X0,X4: list(X0)] :
( ~ listsp(X0,X2,X4)
| ~ pp(aa(X0,bool,X2,X3))
| ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X3),X4) != X1 ) )
& ( nil(X0) != X1 ) ) )
& ( ? [X3: X0,X4: list(X0)] :
( listsp(X0,X2,X4)
& pp(aa(X0,bool,X2,X3))
& ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X3),X4) = X1 ) )
| ( nil(X0) = X1 )
| ~ listsp(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f128]) ).
tff(f128,plain,
! [X0: $tType,X1: list(X0),X2: fun(X0,bool)] :
( listsp(X0,X2,X1)
<=> ( ? [X3: X0,X4: list(X0)] :
( listsp(X0,X2,X4)
& pp(aa(X0,bool,X2,X3))
& ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X3),X4) = X1 ) )
| ( nil(X0) = X1 ) ) ),
inference(rectify,[],[f29]) ).
tff(f29,axiom,
! [X2: $tType,X20: list(X2),X9: fun(X2,bool)] :
( listsp(X2,X9,X20)
<=> ( ? [X28: X2,X29: list(X2)] :
( listsp(X2,X9,X29)
& pp(aa(X2,bool,X9,X28))
& ( aa(list(X2),list(X2),aa(X2,fun(list(X2),list(X2)),cons(X2),X28),X29) = X20 ) )
| ( nil(X2) = X20 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dauGutawue/Vampire---4.8_19363',fact_28_listsp_Osimps) ).
tff(f562,plain,
( ~ listsp(dB,it,aa(list(dB),list(dB),aa(dB,fun(list(dB),list(dB)),cons(dB),var(i)),nil(dB)))
| spl20_2 ),
inference(avatar_component_clause,[],[f560]) ).
tff(f560,plain,
( spl20_2
<=> listsp(dB,it,aa(list(dB),list(dB),aa(dB,fun(list(dB),list(dB)),cons(dB),var(i)),nil(dB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
tff(f592,plain,
spl20_1,
inference(avatar_split_clause,[],[f589,f556]) ).
tff(f556,plain,
( spl20_1
<=> listsp(dB,it,rs) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
tff(f589,plain,
listsp(dB,it,rs),
inference(resolution,[],[f254,f264]) ).
tff(f264,plain,
! [X0: $tType,X2: fun(X0,bool),X3: list(X0),X1: fun(X0,bool)] :
( ~ listsp(X0,combs(X0,bool,bool,combb(bool,fun(bool,bool),X0,fconj,X2),X1),X3)
| listsp(X0,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
tff(f194,plain,
! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool),X3: list(X0)] :
( ( listsp(X0,combs(X0,bool,bool,combb(bool,fun(bool,bool),X0,fconj,X2),X1),X3)
| ~ listsp(X0,X1,X3)
| ~ listsp(X0,X2,X3) )
& ( ( listsp(X0,X1,X3)
& listsp(X0,X2,X3) )
| ~ listsp(X0,combs(X0,bool,bool,combb(bool,fun(bool,bool),X0,fconj,X2),X1),X3) ) ),
inference(flattening,[],[f193]) ).
tff(f193,plain,
! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool),X3: list(X0)] :
( ( listsp(X0,combs(X0,bool,bool,combb(bool,fun(bool,bool),X0,fconj,X2),X1),X3)
| ~ listsp(X0,X1,X3)
| ~ listsp(X0,X2,X3) )
& ( ( listsp(X0,X1,X3)
& listsp(X0,X2,X3) )
| ~ listsp(X0,combs(X0,bool,bool,combb(bool,fun(bool,bool),X0,fconj,X2),X1),X3) ) ),
inference(nnf_transformation,[],[f124]) ).
tff(f124,plain,
! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool),X3: list(X0)] :
( listsp(X0,combs(X0,bool,bool,combb(bool,fun(bool,bool),X0,fconj,X2),X1),X3)
<=> ( listsp(X0,X1,X3)
& listsp(X0,X2,X3) ) ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X2: $tType,X13: fun(X2,bool),X9: fun(X2,bool),X14: list(X2)] :
( listsp(X2,combs(X2,bool,bool,combb(bool,fun(bool,bool),X2,fconj,X9),X13),X14)
<=> ( listsp(X2,X13,X14)
& listsp(X2,X9,X14) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dauGutawue/Vampire---4.8_19363',fact_11_listsp__conj__eq) ).
tff(f254,plain,
listsp(dB,combs(dB,bool,bool,combb(bool,fun(bool,bool),dB,fconj,it),combb(dB,bool,dB,it,aa(dB,fun(dB,dB),combc(dB,dB,dB,app),var(i)))),rs),
inference(cnf_transformation,[],[f117]) ).
tff(f117,axiom,
listsp(dB,combs(dB,bool,bool,combb(bool,fun(bool,bool),dB,fconj,it),combb(dB,bool,dB,it,aa(dB,fun(dB,dB),combc(dB,dB,dB,app),var(i)))),rs),
file('/export/starexec/sandbox2/tmp/tmp.dauGutawue/Vampire---4.8_19363',conj_0) ).
tff(f563,plain,
( ~ spl20_1
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f549,f560,f556]) ).
tff(f549,plain,
( ~ listsp(dB,it,aa(list(dB),list(dB),aa(dB,fun(list(dB),list(dB)),cons(dB),var(i)),nil(dB)))
| ~ listsp(dB,it,rs) ),
inference(resolution,[],[f278,f255]) ).
tff(f255,plain,
~ listsp(dB,it,aa(list(dB),list(dB),aa(list(dB),fun(list(dB),list(dB)),append(dB),rs),aa(list(dB),list(dB),aa(dB,fun(list(dB),list(dB)),cons(dB),var(i)),nil(dB)))),
inference(cnf_transformation,[],[f120]) ).
tff(f120,plain,
~ listsp(dB,it,aa(list(dB),list(dB),aa(list(dB),fun(list(dB),list(dB)),append(dB),rs),aa(list(dB),list(dB),aa(dB,fun(list(dB),list(dB)),cons(dB),var(i)),nil(dB)))),
inference(flattening,[],[f119]) ).
tff(f119,negated_conjecture,
~ listsp(dB,it,aa(list(dB),list(dB),aa(list(dB),fun(list(dB),list(dB)),append(dB),rs),aa(list(dB),list(dB),aa(dB,fun(list(dB),list(dB)),cons(dB),var(i)),nil(dB)))),
inference(negated_conjecture,[],[f118]) ).
tff(f118,conjecture,
listsp(dB,it,aa(list(dB),list(dB),aa(list(dB),fun(list(dB),list(dB)),append(dB),rs),aa(list(dB),list(dB),aa(dB,fun(list(dB),list(dB)),cons(dB),var(i)),nil(dB)))),
file('/export/starexec/sandbox2/tmp/tmp.dauGutawue/Vampire---4.8_19363',conj_1) ).
tff(f278,plain,
! [X0: $tType,X2: list(X0),X3: fun(X0,bool),X1: list(X0)] :
( listsp(X0,X3,aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X2),X1))
| ~ listsp(X0,X3,X1)
| ~ listsp(X0,X3,X2) ),
inference(cnf_transformation,[],[f201]) ).
tff(f201,plain,
! [X0: $tType,X1: list(X0),X2: list(X0),X3: fun(X0,bool)] :
( ( listsp(X0,X3,aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X2),X1))
| ~ listsp(X0,X3,X1)
| ~ listsp(X0,X3,X2) )
& ( ( listsp(X0,X3,X1)
& listsp(X0,X3,X2) )
| ~ listsp(X0,X3,aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X2),X1)) ) ),
inference(flattening,[],[f200]) ).
tff(f200,plain,
! [X0: $tType,X1: list(X0),X2: list(X0),X3: fun(X0,bool)] :
( ( listsp(X0,X3,aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X2),X1))
| ~ listsp(X0,X3,X1)
| ~ listsp(X0,X3,X2) )
& ( ( listsp(X0,X3,X1)
& listsp(X0,X3,X2) )
| ~ listsp(X0,X3,aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X2),X1)) ) ),
inference(nnf_transformation,[],[f130]) ).
tff(f130,plain,
! [X0: $tType,X1: list(X0),X2: list(X0),X3: fun(X0,bool)] :
( listsp(X0,X3,aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X2),X1))
<=> ( listsp(X0,X3,X1)
& listsp(X0,X3,X2) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X2: $tType,X6: list(X2),X8: list(X2),X9: fun(X2,bool)] :
( listsp(X2,X9,aa(list(X2),list(X2),aa(list(X2),fun(list(X2),list(X2)),append(X2),X8),X6))
<=> ( listsp(X2,X9,X6)
& listsp(X2,X9,X8) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dauGutawue/Vampire---4.8_19363',fact_2_append__in__listsp__conv) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL768_5 : TPTP v8.1.2. Released v6.0.0.
% 0.12/0.14 % 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
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 13:59:12 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TF1_THM_EQU_NAR problem
% 0.14/0.36 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.dauGutawue/Vampire---4.8_19363
% 0.60/0.81 % (19478)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 (2995ds/56Mi)
% 0.60/0.81 % (19471)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 (2995ds/34Mi)
% 0.60/0.81 % (19473)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81 % (19474)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.81 % (19472)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 (2995ds/51Mi)
% 0.60/0.81 % (19475)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 (2995ds/34Mi)
% 0.60/0.81 % (19476)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.81 % (19477)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 (2995ds/83Mi)
% 0.60/0.81 % (19477)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.60/0.81 % (19478)Refutation not found, incomplete strategy% (19478)------------------------------
% 0.60/0.81 % (19478)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (19478)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (19478)Memory used [KB]: 1255
% 0.60/0.81 % (19478)Time elapsed: 0.006 s
% 0.60/0.81 % (19478)Instructions burned: 20 (million)
% 0.60/0.81 % (19478)------------------------------
% 0.60/0.81 % (19478)------------------------------
% 0.60/0.82 % (19479)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 (2995ds/55Mi)
% 0.60/0.82 % (19477)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.60/0.82 % (19476)Refutation not found, incomplete strategy% (19476)------------------------------
% 0.60/0.82 % (19476)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82 % (19476)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (19476)Memory used [KB]: 1313
% 0.60/0.82 % (19476)Time elapsed: 0.011 s
% 0.60/0.82 % (19476)Instructions burned: 21 (million)
% 0.60/0.82 % (19476)------------------------------
% 0.60/0.82 % (19476)------------------------------
% 0.60/0.82 % (19471)First to succeed.
% 0.60/0.82 % (19475)Also succeeded, but the first one will report.
% 0.60/0.82 % (19471)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19470"
% 0.60/0.82 % (19471)Refutation found. Thanks to Tanya!
% 0.60/0.82 % SZS status Theorem for Vampire---4
% 0.60/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.82 % (19471)------------------------------
% 0.60/0.82 % (19471)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82 % (19471)Termination reason: Refutation
% 0.60/0.82
% 0.60/0.82 % (19471)Memory used [KB]: 1337
% 0.60/0.82 % (19471)Time elapsed: 0.016 s
% 0.60/0.82 % (19471)Instructions burned: 27 (million)
% 0.60/0.82 % (19470)Success in time 0.448 s
% 0.60/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------