TSTP Solution File: SCT169_5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SCT169_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 : n002.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 03:43:16 EDT 2024
% Result : Theorem 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 58
% Syntax : Number of formulae : 136 ( 17 unt; 44 typ; 0 def)
% Number of atoms : 229 ( 69 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 233 ( 96 ~; 116 |; 10 &)
% ( 10 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 60 ( 33 >; 27 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 9 prp; 0-3 aty)
% Number of functors : 36 ( 36 usr; 7 con; 0-5 aty)
% Number of variables : 128 ( 78 !; 12 ?; 128 :)
% ( 38 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
arrow_411405190le_alt: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
list: $tType > $tType ).
tff(type_def_8,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
append:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_1,type,
butlast:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_2,type,
dropWhile:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > list(X0) ) ).
tff(func_def_3,type,
hd:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_4,type,
insert:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_5,type,
last:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_6,type,
linorder_insort_key:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).
tff(func_def_7,type,
linorder_sort_key:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X0) ) ).
tff(func_def_8,type,
cons:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_9,type,
nil:
!>[X0: $tType] : list(X0) ).
tff(func_def_10,type,
list_case:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) * list(X1) ) > X0 ) ).
tff(func_def_11,type,
list_rec:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),fun(X0,X0))) * list(X1) ) > X0 ) ).
tff(func_def_12,type,
maps:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,list(X1)) * list(X0) ) > list(X1) ) ).
tff(func_def_13,type,
rev:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_14,type,
rotate1:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_15,type,
splice:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_16,type,
takeWhile:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > list(X0) ) ).
tff(func_def_17,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_18,type,
fFalse: bool ).
tff(func_def_19,type,
fTrue: bool ).
tff(func_def_20,type,
a: arrow_411405190le_alt ).
tff(func_def_21,type,
b: arrow_411405190le_alt ).
tff(func_def_22,type,
sK0: arrow_411405190le_alt ).
tff(func_def_23,type,
sK1: arrow_411405190le_alt ).
tff(func_def_24,type,
sK2: arrow_411405190le_alt ).
tff(func_def_25,type,
sK3:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_26,type,
sK4:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_27,type,
sK5:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_28,type,
sK6:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_29,type,
sK7:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_30,type,
sK8:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_31,type,
sK9:
!>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_32,type,
sK10:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > list(X0) ) ).
tff(func_def_33,type,
sK11:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).
tff(pred_def_1,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
equal_equal:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_3,type,
distinct:
!>[X0: $tType] : ( list(X0) > $o ) ).
tff(pred_def_4,type,
list_ex1:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_5,type,
null:
!>[X0: $tType] : ( list(X0) > $o ) ).
tff(pred_def_6,type,
pp: bool > $o ).
tff(f770,plain,
$false,
inference(avatar_sat_refutation,[],[f359,f368,f377,f429,f535,f553,f661,f701,f737,f763]) ).
tff(f763,plain,
( spl12_19
| ~ spl12_3
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f762,f374,f361,f578]) ).
tff(f578,plain,
( spl12_19
<=> ! [X0: arrow_411405190le_alt] :
( ( sK0 = X0 )
| ( a = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
tff(f361,plain,
( spl12_3
<=> ( a = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
tff(f374,plain,
( spl12_6
<=> distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,sK1,cons(arrow_411405190le_alt,b,nil(arrow_411405190le_alt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
tff(f762,plain,
( ! [X0: arrow_411405190le_alt] :
( ( sK0 = X0 )
| ( a = X0 ) )
| ~ spl12_3
| ~ spl12_6 ),
inference(subsumption_resolution,[],[f761,f291]) ).
tff(f291,plain,
! [X0: $tType,X3: X0,X1: list(X0)] : ~ distinct(X0,cons(X0,X3,cons(X0,X3,X1))),
inference(equality_resolution,[],[f209]) ).
tff(f209,plain,
! [X0: $tType,X2: X0,X3: X0,X1: list(X0)] :
( ( X2 != X3 )
| ~ distinct(X0,cons(X0,X3,cons(X0,X2,X1))) ),
inference(cnf_transformation,[],[f159]) ).
tff(f159,plain,
! [X0: $tType,X1: list(X0),X2: X0,X3: X0] :
( ( distinct(X0,cons(X0,X3,cons(X0,X2,X1)))
| ~ distinct(X0,cons(X0,X2,X1))
| ~ distinct(X0,cons(X0,X3,X1))
| ( X2 = X3 ) )
& ( ( distinct(X0,cons(X0,X2,X1))
& distinct(X0,cons(X0,X3,X1))
& ( X2 != X3 ) )
| ~ distinct(X0,cons(X0,X3,cons(X0,X2,X1))) ) ),
inference(flattening,[],[f158]) ).
tff(f158,plain,
! [X0: $tType,X1: list(X0),X2: X0,X3: X0] :
( ( distinct(X0,cons(X0,X3,cons(X0,X2,X1)))
| ~ distinct(X0,cons(X0,X2,X1))
| ~ distinct(X0,cons(X0,X3,X1))
| ( X2 = X3 ) )
& ( ( distinct(X0,cons(X0,X2,X1))
& distinct(X0,cons(X0,X3,X1))
& ( X2 != X3 ) )
| ~ distinct(X0,cons(X0,X3,cons(X0,X2,X1))) ) ),
inference(nnf_transformation,[],[f109]) ).
tff(f109,plain,
! [X0: $tType,X1: list(X0),X2: X0,X3: X0] :
( distinct(X0,cons(X0,X3,cons(X0,X2,X1)))
<=> ( distinct(X0,cons(X0,X2,X1))
& distinct(X0,cons(X0,X3,X1))
& ( X2 != X3 ) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X0: $tType,X11: list(X0),X12: X0,X10: X0] :
( distinct(X0,cons(X0,X10,cons(X0,X12,X11)))
<=> ( distinct(X0,cons(X0,X12,X11))
& distinct(X0,cons(X0,X10,X11))
& ( X10 != X12 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Tn1y2glI9u/Vampire---4.8_19993',fact_4_distinct__length__2__or__more) ).
tff(f761,plain,
( ! [X0: arrow_411405190le_alt] :
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,nil(arrow_411405190le_alt)))))
| ( sK0 = X0 )
| ( a = X0 ) )
| ~ spl12_3
| ~ spl12_6 ),
inference(forward_demodulation,[],[f749,f363]) ).
tff(f363,plain,
( ( a = sK1 )
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f361]) ).
tff(f749,plain,
( ! [X0: arrow_411405190le_alt] :
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,sK1,cons(arrow_411405190le_alt,b,nil(arrow_411405190le_alt)))))
| ( sK0 = X0 )
| ( a = X0 ) )
| ~ spl12_6 ),
inference(superposition,[],[f376,f340]) ).
tff(f340,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( a = X1 )
| ( X0 = X1 )
| ( a = X0 ) ),
inference(superposition,[],[f339,f339]) ).
tff(f339,plain,
! [X0: arrow_411405190le_alt] :
( ( b = X0 )
| ( a = X0 ) ),
inference(subsumption_resolution,[],[f338,f213]) ).
tff(f213,plain,
! [X0: $tType,X1: X0] : distinct(X0,cons(X0,X1,nil(X0))),
inference(cnf_transformation,[],[f110]) ).
tff(f110,plain,
! [X0: $tType,X1: X0] : distinct(X0,cons(X0,X1,nil(X0))),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X0: $tType,X6: X0] : distinct(X0,cons(X0,X6,nil(X0))),
file('/export/starexec/sandbox/tmp/tmp.Tn1y2glI9u/Vampire---4.8_19993',fact_2_distinct__singleton) ).
tff(f338,plain,
! [X0: arrow_411405190le_alt] :
( ( b = X0 )
| ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))
| ( a = X0 ) ),
inference(subsumption_resolution,[],[f337,f213]) ).
tff(f337,plain,
! [X0: arrow_411405190le_alt] :
( ( b = X0 )
| ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))
| ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))
| ( a = X0 ) ),
inference(resolution,[],[f336,f212]) ).
tff(f212,plain,
! [X0: $tType,X2: X0,X3: X0,X1: list(X0)] :
( distinct(X0,cons(X0,X3,cons(X0,X2,X1)))
| ~ distinct(X0,cons(X0,X2,X1))
| ~ distinct(X0,cons(X0,X3,X1))
| ( X2 = X3 ) ),
inference(cnf_transformation,[],[f159]) ).
tff(f336,plain,
! [X0: arrow_411405190le_alt] :
( ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))
| ( b = X0 ) ),
inference(subsumption_resolution,[],[f335,f213]) ).
tff(f335,plain,
! [X0: arrow_411405190le_alt] :
( ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))
| ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,nil(arrow_411405190le_alt)))
| ( b = X0 ) ),
inference(subsumption_resolution,[],[f334,f213]) ).
tff(f334,plain,
! [X0: arrow_411405190le_alt] :
( ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))
| ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))
| ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,nil(arrow_411405190le_alt)))
| ( b = X0 ) ),
inference(resolution,[],[f333,f212]) ).
tff(f333,plain,
! [X0: arrow_411405190le_alt] :
( ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))
| ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) ),
inference(subsumption_resolution,[],[f332,f205]) ).
tff(f205,plain,
a != b,
inference(cnf_transformation,[],[f104]) ).
tff(f104,axiom,
a != b,
file('/export/starexec/sandbox/tmp/tmp.Tn1y2glI9u/Vampire---4.8_19993',conj_0) ).
tff(f332,plain,
! [X0: arrow_411405190le_alt] :
( ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))
| ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))
| ( a = b ) ),
inference(resolution,[],[f206,f212]) ).
tff(f206,plain,
! [X0: arrow_411405190le_alt] : ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))),
inference(cnf_transformation,[],[f149]) ).
tff(f149,plain,
! [X0: arrow_411405190le_alt] : ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))),
inference(ennf_transformation,[],[f107]) ).
tff(f107,plain,
~ ? [X0: arrow_411405190le_alt] : distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))),
inference(rectify,[],[f106]) ).
tff(f106,negated_conjecture,
~ ? [X42: arrow_411405190le_alt] : distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X42,nil(arrow_411405190le_alt))))),
inference(negated_conjecture,[],[f105]) ).
tff(f105,conjecture,
? [X42: arrow_411405190le_alt] : distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X42,nil(arrow_411405190le_alt))))),
file('/export/starexec/sandbox/tmp/tmp.Tn1y2glI9u/Vampire---4.8_19993',conj_1) ).
tff(f376,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,sK1,cons(arrow_411405190le_alt,b,nil(arrow_411405190le_alt)))))
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f374]) ).
tff(f737,plain,
( spl12_7
| ~ spl12_1
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f736,f365,f352,f427]) ).
tff(f427,plain,
( spl12_7
<=> ! [X0: arrow_411405190le_alt] : ( a = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
tff(f352,plain,
( spl12_1
<=> ( a = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
tff(f365,plain,
( spl12_4
<=> distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
tff(f736,plain,
( ! [X0: arrow_411405190le_alt] : ( a = X0 )
| ~ spl12_1
| ~ spl12_4 ),
inference(subsumption_resolution,[],[f735,f342]) ).
tff(f342,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))))
| ( a = X0 ) ),
inference(superposition,[],[f206,f339]) ).
tff(f735,plain,
( ! [X0: arrow_411405190le_alt] :
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt)))))
| ( a = X0 ) )
| ~ spl12_1
| ~ spl12_4 ),
inference(forward_demodulation,[],[f725,f354]) ).
tff(f354,plain,
( ( a = sK0 )
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f352]) ).
tff(f725,plain,
( ! [X0: arrow_411405190le_alt] :
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt)))))
| ( a = X0 ) )
| ~ spl12_4 ),
inference(superposition,[],[f367,f339]) ).
tff(f367,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt)))))
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f365]) ).
tff(f701,plain,
( spl12_7
| ~ spl12_1
| ~ spl12_19 ),
inference(avatar_split_clause,[],[f700,f578,f352,f427]) ).
tff(f700,plain,
( ! [X0: arrow_411405190le_alt] : ( a = X0 )
| ~ spl12_1
| ~ spl12_19 ),
inference(subsumption_resolution,[],[f682,f354]) ).
tff(f682,plain,
( ! [X0: arrow_411405190le_alt] :
( ( a != sK0 )
| ( a = X0 ) )
| ~ spl12_19 ),
inference(equality_factoring,[],[f579]) ).
tff(f579,plain,
( ! [X0: arrow_411405190le_alt] :
( ( sK0 = X0 )
| ( a = X0 ) )
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f578]) ).
tff(f661,plain,
~ spl12_7,
inference(avatar_contradiction_clause,[],[f660]) ).
tff(f660,plain,
( $false
| ~ spl12_7 ),
inference(subsumption_resolution,[],[f659,f658]) ).
tff(f658,plain,
( ! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] : ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))))
| ~ spl12_7 ),
inference(forward_demodulation,[],[f636,f428]) ).
tff(f428,plain,
( ! [X0: arrow_411405190le_alt] : ( a = X0 )
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f427]) ).
tff(f636,plain,
( ! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] : ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))))
| ~ spl12_7 ),
inference(superposition,[],[f206,f428]) ).
tff(f659,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))))
| ~ spl12_7 ),
inference(forward_demodulation,[],[f646,f428]) ).
tff(f646,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,sK1,cons(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))))
| ~ spl12_7 ),
inference(superposition,[],[f215,f428]) ).
tff(f215,plain,
distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,sK1,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt))))),
inference(cnf_transformation,[],[f161]) ).
tff(f161,plain,
distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,sK1,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt))))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f111,f160]) ).
tff(f160,plain,
( ? [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt,X2: arrow_411405190le_alt] : distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,cons(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)))))
=> distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,sK1,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt))))) ),
introduced(choice_axiom,[]) ).
tff(f111,plain,
? [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt,X2: arrow_411405190le_alt] : distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,cons(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt))))),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
? [X3: arrow_411405190le_alt,X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] : distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X3,cons(arrow_411405190le_alt,X4,cons(arrow_411405190le_alt,X5,nil(arrow_411405190le_alt))))),
file('/export/starexec/sandbox/tmp/tmp.Tn1y2glI9u/Vampire---4.8_19993',fact_0_alt3) ).
tff(f553,plain,
( spl12_3
| spl12_1 ),
inference(avatar_split_clause,[],[f552,f352,f361]) ).
tff(f552,plain,
( ( a = sK1 )
| spl12_1 ),
inference(subsumption_resolution,[],[f483,f291]) ).
tff(f483,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt)))))
| ( a = sK1 )
| spl12_1 ),
inference(superposition,[],[f215,f433]) ).
tff(f433,plain,
( ! [X0: arrow_411405190le_alt] :
( ( sK0 = X0 )
| ( a = X0 ) )
| spl12_1 ),
inference(trivial_inequality_removal,[],[f431]) ).
tff(f431,plain,
( ! [X0: arrow_411405190le_alt] :
( ( a != a )
| ( sK0 = X0 )
| ( a = X0 ) )
| spl12_1 ),
inference(superposition,[],[f353,f340]) ).
tff(f353,plain,
( ( a != sK0 )
| spl12_1 ),
inference(avatar_component_clause,[],[f352]) ).
tff(f535,plain,
( ~ spl12_2
| ~ spl12_3 ),
inference(avatar_contradiction_clause,[],[f534]) ).
tff(f534,plain,
( $false
| ~ spl12_2
| ~ spl12_3 ),
inference(subsumption_resolution,[],[f525,f518]) ).
tff(f518,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt))))
| ~ spl12_2
| ~ spl12_3 ),
inference(forward_demodulation,[],[f507,f363]) ).
tff(f507,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK1,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt))))
| ~ spl12_2 ),
inference(resolution,[],[f358,f211]) ).
tff(f211,plain,
! [X0: $tType,X2: X0,X3: X0,X1: list(X0)] :
( ~ distinct(X0,cons(X0,X3,cons(X0,X2,X1)))
| distinct(X0,cons(X0,X2,X1)) ),
inference(cnf_transformation,[],[f159]) ).
tff(f358,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,sK1,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt)))))
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f356]) ).
tff(f356,plain,
( spl12_2
<=> distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,sK1,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
tff(f525,plain,
( ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt))))
| ~ spl12_2 ),
inference(resolution,[],[f506,f333]) ).
tff(f506,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt))))
| ~ spl12_2 ),
inference(resolution,[],[f358,f210]) ).
tff(f210,plain,
! [X0: $tType,X2: X0,X3: X0,X1: list(X0)] :
( ~ distinct(X0,cons(X0,X3,cons(X0,X2,X1)))
| distinct(X0,cons(X0,X3,X1)) ),
inference(cnf_transformation,[],[f159]) ).
tff(f429,plain,
( spl12_7
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5 ),
inference(avatar_split_clause,[],[f422,f370,f361,f352,f427]) ).
tff(f370,plain,
( spl12_5
<=> ( a = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
tff(f422,plain,
( ! [X0: arrow_411405190le_alt] :
( ( a != sK0 )
| ( a = X0 ) )
| ~ spl12_3
| ~ spl12_5 ),
inference(equality_factoring,[],[f408]) ).
tff(f408,plain,
( ! [X0: arrow_411405190le_alt] :
( ( sK0 = X0 )
| ( a = X0 ) )
| ~ spl12_3
| ~ spl12_5 ),
inference(subsumption_resolution,[],[f407,f291]) ).
tff(f407,plain,
( ! [X0: arrow_411405190le_alt] :
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))))
| ( sK0 = X0 )
| ( a = X0 ) )
| ~ spl12_3
| ~ spl12_5 ),
inference(forward_demodulation,[],[f406,f363]) ).
tff(f406,plain,
( ! [X0: arrow_411405190le_alt] :
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,sK1,cons(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))))
| ( sK0 = X0 )
| ( a = X0 ) )
| ~ spl12_5 ),
inference(forward_demodulation,[],[f393,f372]) ).
tff(f372,plain,
( ( a = sK2 )
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f370]) ).
tff(f393,plain,
! [X0: arrow_411405190le_alt] :
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,sK1,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt)))))
| ( sK0 = X0 )
| ( a = X0 ) ),
inference(superposition,[],[f215,f340]) ).
tff(f377,plain,
( spl12_5
| spl12_6 ),
inference(avatar_split_clause,[],[f346,f374,f370]) ).
tff(f346,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,sK1,cons(arrow_411405190le_alt,b,nil(arrow_411405190le_alt)))))
| ( a = sK2 ) ),
inference(superposition,[],[f215,f339]) ).
tff(f368,plain,
( spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f345,f365,f361]) ).
tff(f345,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt)))))
| ( a = sK1 ) ),
inference(superposition,[],[f215,f339]) ).
tff(f359,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f344,f356,f352]) ).
tff(f344,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,sK1,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt)))))
| ( a = sK0 ) ),
inference(superposition,[],[f215,f339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SCT169_5 : TPTP v8.1.2. Released v6.0.0.
% 0.12/0.15 % 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
% 0.15/0.37 % Computer : n002.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Apr 30 16:53:55 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TF1_THM_EQU_NAR problem
% 0.15/0.37 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.Tn1y2glI9u/Vampire---4.8_19993
% 0.56/0.76 % (20242)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)
% 0.56/0.76 % (20242)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.56/0.76 % (20236)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)
% 0.56/0.76 % (20238)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76 % (20237)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)
% 0.56/0.76 % (20239)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)
% 0.56/0.76 % (20243)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)
% 0.56/0.76 % (20242)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.56/0.76 % (20240)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)
% 0.56/0.76 % (20243)Refutation not found, incomplete strategy% (20243)------------------------------
% 0.56/0.76 % (20243)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (20243)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (20243)Memory used [KB]: 1096
% 0.56/0.76 % (20243)Time elapsed: 0.004 s
% 0.56/0.76 % (20243)Instructions burned: 5 (million)
% 0.56/0.76 % (20243)------------------------------
% 0.56/0.76 % (20243)------------------------------
% 0.61/0.76 % (20241)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)
% 0.61/0.77 % (20240)Refutation not found, incomplete strategy% (20240)------------------------------
% 0.61/0.77 % (20240)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (20240)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (20240)Memory used [KB]: 1299
% 0.61/0.77 % (20240)Time elapsed: 0.009 s
% 0.61/0.77 % (20240)Instructions burned: 17 (million)
% 0.61/0.77 % (20240)------------------------------
% 0.61/0.77 % (20240)------------------------------
% 0.61/0.77 % (20245)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 (2996ds/50Mi)
% 0.61/0.77 % (20244)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 (2996ds/55Mi)
% 0.61/0.78 % (20236)Instruction limit reached!
% 0.61/0.78 % (20236)------------------------------
% 0.61/0.78 % (20236)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (20236)Termination reason: Unknown
% 0.61/0.78 % (20236)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (20236)Memory used [KB]: 1336
% 0.61/0.78 % (20236)Time elapsed: 0.020 s
% 0.61/0.78 % (20236)Instructions burned: 35 (million)
% 0.61/0.78 % (20236)------------------------------
% 0.61/0.78 % (20236)------------------------------
% 0.61/0.78 % (20239)Instruction limit reached!
% 0.61/0.78 % (20239)------------------------------
% 0.61/0.78 % (20239)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (20239)Termination reason: Unknown
% 0.61/0.78 % (20239)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (20239)Memory used [KB]: 1385
% 0.61/0.78 % (20239)Time elapsed: 0.021 s
% 0.61/0.78 % (20239)Instructions burned: 34 (million)
% 0.61/0.78 % (20239)------------------------------
% 0.61/0.78 % (20239)------------------------------
% 0.61/0.78 % (20246)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 (2996ds/208Mi)
% 0.61/0.78 % (20241)First to succeed.
% 0.61/0.78 % (20242)Instruction limit reached!
% 0.61/0.78 % (20242)------------------------------
% 0.61/0.78 % (20242)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (20242)Termination reason: Unknown
% 0.61/0.78 % (20242)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (20242)Memory used [KB]: 1742
% 0.61/0.78 % (20242)Time elapsed: 0.027 s
% 0.61/0.78 % (20242)Instructions burned: 84 (million)
% 0.61/0.78 % (20242)------------------------------
% 0.61/0.78 % (20242)------------------------------
% 0.61/0.78 % (20247)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 (2996ds/52Mi)
% 0.61/0.78 % (20241)Refutation found. Thanks to Tanya!
% 0.61/0.78 % SZS status Theorem for Vampire---4
% 0.61/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.79 % (20241)------------------------------
% 0.61/0.79 % (20241)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (20241)Termination reason: Refutation
% 0.61/0.79
% 0.61/0.79 % (20241)Memory used [KB]: 1333
% 0.61/0.79 % (20241)Time elapsed: 0.021 s
% 0.61/0.79 % (20241)Instructions burned: 35 (million)
% 0.61/0.79 % (20241)------------------------------
% 0.61/0.79 % (20241)------------------------------
% 0.61/0.79 % (20232)Success in time 0.397 s
% 0.61/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------