%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT169_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:37:05 PM UTC 2026
% Result : Theorem 2.69s 1.33s
% Output : Refutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 11
% Syntax : Number of formulae : 89 ( 21 unt; 0 typ; 6 def)
% Number of atoms : 204 ( 49 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 196 ( 81 ~; 100 |; 8 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 7 prp; 0-3 aty)
% Number of functors : 36 ( 36 usr; 7 con; 0-5 aty)
% Number of variables : 60 ( 0 sgn 52 !; 8 ?; 60 :)
% 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(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/benchmark/theBenchmark.p',fact_0_alt3) ).
tff(f3,axiom,
! [X0: $tType,X1: X0] : distinct(X0,cons(X0,X1,nil(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_distinct__singleton) ).
tff(f5,axiom,
! [X0: $tType,X1: list(X0),X2: X0,X3: X0] :
( distinct(X0,cons(X0,X3,cons(X0,X2,X1)))
<=> ( ( X3 != X2 )
& distinct(X0,cons(X0,X3,X1))
& distinct(X0,cons(X0,X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_distinct__length__2__or__more) ).
tff(f104,axiom,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f105,conjecture,
? [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))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(f106,negated_conjecture,
~ ? [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(negated_conjecture,[status(cth)],[f105]) ).
tff(f107,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(f108,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,[],[f106]) ).
tff(f117,plain,
! [X0: $tType,X1: list(X0),X2: X0,X3: X0] :
( ( distinct(X0,cons(X0,X3,cons(X0,X2,X1)))
| ( X2 = X3 )
| ~ distinct(X0,cons(X0,X3,X1))
| ~ distinct(X0,cons(X0,X2,X1)) )
& ( ( ( X3 != X2 )
& distinct(X0,cons(X0,X3,X1))
& distinct(X0,cons(X0,X2,X1)) )
| ~ distinct(X0,cons(X0,X3,cons(X0,X2,X1))) ) ),
inference(nnf_transformation,[],[f5]) ).
tff(f118,plain,
! [X0: $tType,X1: list(X0),X2: X0,X3: X0] :
( ( distinct(X0,cons(X0,X3,cons(X0,X2,X1)))
| ( X2 = X3 )
| ~ distinct(X0,cons(X0,X3,X1))
| ~ distinct(X0,cons(X0,X2,X1)) )
& ( ( ( X3 != X2 )
& distinct(X0,cons(X0,X3,X1))
& distinct(X0,cons(X0,X2,X1)) )
| ~ distinct(X0,cons(X0,X3,cons(X0,X2,X1))) ) ),
inference(flattening,[],[f117]) ).
tff(f119,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(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f107]) ).
tff(f157,plain,
a != b,
inference(cnf_transformation,[],[f104]) ).
tff(f158,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,[],[f108]) ).
tff(f161,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,[],[f118]) ).
tff(f162,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,[],[f118]) ).
tff(f163,plain,
! [X0: $tType,X2: X0,X3: X0,X1: list(X0)] :
( ( X2 != X3 )
| ~ distinct(X0,cons(X0,X3,cons(X0,X2,X1))) ),
inference(cnf_transformation,[],[f118]) ).
tff(f164,plain,
! [X0: $tType,X2: X0,X3: X0,X1: list(X0)] :
( distinct(X0,cons(X0,X3,cons(X0,X2,X1)))
| ( X2 = X3 )
| ~ distinct(X0,cons(X0,X3,X1))
| ~ distinct(X0,cons(X0,X2,X1)) ),
inference(cnf_transformation,[],[f118]) ).
tff(f165,plain,
! [X0: $tType,X1: X0] : distinct(X0,cons(X0,X1,nil(X0))),
inference(cnf_transformation,[],[f3]) ).
tff(f167,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,[],[f119]) ).
tff(f243,plain,
! [X0: $tType,X3: X0,X1: list(X0)] : ~ distinct(X0,cons(X0,X3,cons(X0,X3,X1))),
inference(equality_resolution,[],[f163]) ).
tff(f330,plain,
distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK1,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt)))),
inference(resolution,[],[f161,f167]) ).
tff(f331,plain,
distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt)))),
inference(resolution,[],[f162,f167]) ).
tff(f495,plain,
! [X0: arrow_411405190le_alt] :
( ( a = b )
| ~ 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,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) ),
inference(resolution,[],[f164,f158]) ).
tff(f508,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(forward_subsumption_resolution,[],[f495,f157]) ).
tff(f510,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 )
| ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,nil(arrow_411405190le_alt)))
| ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) ),
inference(resolution,[],[f508,f164]) ).
tff(f511,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 )
| ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,nil(arrow_411405190le_alt))) ),
inference(forward_subsumption_resolution,[],[f510,f165]) ).
tff(f512,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(forward_subsumption_resolution,[],[f511,f165]) ).
tff(f522,plain,
! [X0: arrow_411405190le_alt] :
( ( b = X0 )
| ( a = X0 )
| ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))
| ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) ),
inference(resolution,[],[f512,f164]) ).
tff(f523,plain,
! [X0: arrow_411405190le_alt] :
( ( b = X0 )
| ( a = X0 )
| ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))) ),
inference(forward_subsumption_resolution,[],[f522,f165]) ).
tff(f524,plain,
! [X0: arrow_411405190le_alt] :
( ( b = X0 )
| ( a = X0 ) ),
inference(forward_subsumption_resolution,[],[f523,f165]) ).
tff(f533,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( X0 = X1 )
| ( a = X1 )
| ( a = X0 ) ),
inference(superposition,[],[f524,f524]) ).
tff(f540,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,[],[f167,f524]) ).
tff(f551,definition,
( spl12_1
<=> ( a = sK2 ) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
tff(f552,plain,
( ( a != sK2 )
| spl12_1 ),
inference(avatar_component_clause,[],[f551]) ).
tff(f553,plain,
( ( a = sK2 )
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f551]) ).
tff(f570,definition,
( spl12_5
<=> ( a = sK1 ) ),
introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).
tff(f571,plain,
( ( a != sK1 )
| spl12_5 ),
inference(avatar_component_clause,[],[f570]) ).
tff(f572,plain,
( ( a = sK1 )
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f570]) ).
tff(f574,definition,
( spl12_6
<=> distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt))))) ),
introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition]) ).
tff(f576,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_6 ),
inference(avatar_component_clause,[],[f574]) ).
tff(f577,plain,
( spl12_5
| spl12_6 ),
inference(avatar_split_clause,[],[f540,f574,f570]) ).
tff(f584,definition,
( spl12_8
<=> ( a = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl12_8])],[avatar_definition]) ).
tff(f585,plain,
( ( a != sK0 )
| spl12_8 ),
inference(avatar_component_clause,[],[f584]) ).
tff(f586,plain,
( ( a = sK0 )
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f584]) ).
tff(f679,plain,
! [X0: arrow_411405190le_alt] :
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt)))))
| ( sK1 = X0 )
| ( a = X0 ) ),
inference(superposition,[],[f167,f533]) ).
tff(f694,plain,
( ! [X0: arrow_411405190le_alt] :
( ( a != a )
| ( sK0 = X0 )
| ( a = X0 ) )
| spl12_8 ),
inference(superposition,[],[f585,f533]) ).
tff(f719,plain,
( ! [X0: arrow_411405190le_alt] :
( ( sK0 = X0 )
| ( a = X0 ) )
| spl12_8 ),
inference(trivial_inequality_removal,[],[f694]) ).
tff(f793,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK1,cons(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))))
| ~ spl12_1 ),
inference(superposition,[],[f330,f553]) ).
tff(f798,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))))
| ~ spl12_1
| ~ spl12_5 ),
inference(forward_demodulation,[],[f793,f572]) ).
tff(f801,plain,
( $false
| ~ spl12_1
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f798,f243]) ).
tff(f802,plain,
( ~ spl12_1
| ~ spl12_5 ),
inference(avatar_contradiction_clause,[],[f801]) ).
tff(f807,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))))
| ~ spl12_1
| ~ spl12_6 ),
inference(forward_demodulation,[],[f576,f553]) ).
tff(f826,definition,
( spl12_16
<=> ! [X0: arrow_411405190le_alt] :
( ( sK1 = X0 )
| ( a = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl12_16])],[avatar_definition]) ).
tff(f827,plain,
( ! [X0: arrow_411405190le_alt] :
( ( sK1 = X0 )
| ( a = X0 ) )
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f826]) ).
tff(f846,definition,
( spl12_19
<=> distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt))))) ),
introduced(definition,[new_symbols(definition,[spl12_19])],[avatar_definition]) ).
tff(f848,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt)))))
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f846]) ).
tff(f857,plain,
( spl12_16
| spl12_19 ),
inference(avatar_split_clause,[],[f679,f846,f826]) ).
tff(f925,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_8 ),
inference(superposition,[],[f167,f719]) ).
tff(f927,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,sK0,nil(arrow_411405190le_alt))))
| ( a = sK2 )
| spl12_8 ),
inference(superposition,[],[f331,f719]) ).
tff(f940,plain,
( ( a = sK2 )
| spl12_8 ),
inference(forward_subsumption_resolution,[],[f927,f243]) ).
tff(f941,plain,
( ( a = sK1 )
| spl12_8 ),
inference(forward_subsumption_resolution,[],[f925,f243]) ).
tff(f942,plain,
( $false
| spl12_1
| spl12_8 ),
inference(forward_subsumption_resolution,[],[f940,f552]) ).
tff(f943,plain,
( spl12_1
| spl12_8 ),
inference(avatar_contradiction_clause,[],[f942]) ).
tff(f944,plain,
( $false
| spl12_5
| spl12_8 ),
inference(forward_subsumption_resolution,[],[f941,f571]) ).
tff(f945,plain,
( spl12_5
| spl12_8 ),
inference(avatar_contradiction_clause,[],[f944]) ).
tff(f980,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))))
| ~ spl12_1
| ~ spl12_6
| ~ spl12_8 ),
inference(forward_demodulation,[],[f807,f586]) ).
tff(f983,plain,
( $false
| ~ spl12_1
| ~ spl12_6
| ~ spl12_8 ),
inference(forward_subsumption_resolution,[],[f980,f158]) ).
tff(f984,plain,
( ~ spl12_1
| ~ spl12_6
| ~ spl12_8 ),
inference(avatar_contradiction_clause,[],[f983]) ).
tff(f1137,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK1,cons(arrow_411405190le_alt,sK1,nil(arrow_411405190le_alt))))
| ( a = sK2 )
| ~ spl12_16 ),
inference(superposition,[],[f330,f827]) ).
tff(f1148,plain,
( ( a = sK2 )
| ~ spl12_16 ),
inference(forward_subsumption_resolution,[],[f1137,f243]) ).
tff(f1151,plain,
( $false
| spl12_1
| ~ spl12_16 ),
inference(forward_subsumption_resolution,[],[f1148,f552]) ).
tff(f1152,plain,
( spl12_1
| ~ spl12_16 ),
inference(avatar_contradiction_clause,[],[f1151]) ).
tff(f1154,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt)))))
| ~ spl12_8
| ~ spl12_19 ),
inference(forward_demodulation,[],[f848,f586]) ).
tff(f1156,plain,
( $false
| ~ spl12_8
| ~ spl12_19 ),
inference(forward_subsumption_resolution,[],[f1154,f243]) ).
tff(f1157,plain,
( ~ spl12_8
| ~ spl12_19 ),
inference(avatar_contradiction_clause,[],[f1156]) ).
cnf(s4,plain,
( spl12_5
| spl12_6 ),
inference(sat_conversion,[],[f577]) ).
cnf(s21,plain,
( ~ spl12_1
| ~ spl12_5 ),
inference(sat_conversion,[],[f802]) ).
cnf(s34,plain,
( spl12_16
| spl12_19 ),
inference(sat_conversion,[],[f857]) ).
cnf(s36,plain,
( spl12_1
| spl12_8 ),
inference(sat_conversion,[],[f943]) ).
cnf(s37,plain,
( spl12_5
| spl12_8 ),
inference(sat_conversion,[],[f945]) ).
cnf(s46,plain,
( ~ spl12_1
| ~ spl12_6
| ~ spl12_8 ),
inference(sat_conversion,[],[f984]) ).
cnf(s50,plain,
( spl12_1
| ~ spl12_16 ),
inference(sat_conversion,[],[f1152]) ).
cnf(s53,plain,
( ~ spl12_8
| ~ spl12_19 ),
inference(sat_conversion,[],[f1157]) ).
cnf(s54,plain,
spl12_1,
inference(rat,[],[s53,s34,s36,s50]) ).
cnf(s58,plain,
~ spl12_5,
inference(rat,[],[s21,s54]) ).
cnf(s62,plain,
spl12_8,
inference(rat,[],[s37,s58]) ).
cnf(s64,plain,
spl12_6,
inference(rat,[],[s4,s58]) ).
cnf(s67,plain,
$false,
inference(rat,[],[s46,s54,s62,s64]) ).
tff(f1158,plain,
$false,
inference(avatar_sat_refutation,[],[s67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT169_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 23:57:46 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.69/1.33 % (2143497)Detected formulas, will run a generic FOF schedule.
% 2.69/1.33 % (2143506)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2065231056:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.69/1.33 % (2143506)Instruction limit reached!
% 2.69/1.33 % (2143506)------------------------------
% 2.69/1.33 % (2143506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.33 % (2143506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.33 % (2143506)CaDiCaL version: 2.1.3
% 2.69/1.33 % (2143506)Termination reason: Instruction limit
% 2.69/1.33 % (2143506)Termination phase: Saturation
% 2.69/1.33 % (2143506)Time elapsed: 0.035 s
% 2.69/1.33 % (2143506)Peak memory usage: 88 MB
% 2.69/1.33 % (2143506)Instructions burned: 121 (million)
% 2.69/1.33 % (2143504)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2206273957:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.69/1.33 % (2143505)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1863743615:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.69/1.33 % (2143503)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=969875538:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.69/1.33 % (2143502)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3593721585:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.69/1.33 % (2143505)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.69/1.33 % (2143504)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.69/1.33 % (2143507)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=300074558:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.69/1.33 % (2143508)dis-21_1_sil=8000:lcm=predicate:random_seed=2965861109:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.69/1.33 % (2143505)Instruction limit reached!
% 2.69/1.33 % (2143505)------------------------------
% 2.69/1.33 % (2143505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.33 % (2143505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.33 % (2143505)CaDiCaL version: 2.1.3
% 2.69/1.33 % (2143505)Termination reason: Instruction limit
% 2.69/1.33 % (2143505)Termination phase: Saturation
% 2.69/1.33 % (2143505)Time elapsed: 0.058 s
% 2.69/1.33 % (2143505)Peak memory usage: 88 MB
% 2.69/1.33 % (2143505)Instructions burned: 111 (million)
% 2.69/1.33 % (2143508)Instruction limit reached!
% 2.69/1.33 % (2143508)------------------------------
% 2.69/1.33 % (2143508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.33 % (2143508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.33 % (2143508)CaDiCaL version: 2.1.3
% 2.69/1.33 % (2143508)Termination reason: Instruction limit
% 2.69/1.33 % (2143508)Termination phase: Saturation
% 2.69/1.33 % (2143508)Time elapsed: 0.073 s
% 2.69/1.33 % (2143508)Peak memory usage: 88 MB
% 2.69/1.33 % (2143508)Instructions burned: 129 (million)
% 2.69/1.33 % (2143507)Instruction limit reached!
% 2.69/1.33 % (2143507)------------------------------
% 2.69/1.33 % (2143507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.33 % (2143507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.33 % (2143507)CaDiCaL version: 2.1.3
% 2.69/1.33 % (2143507)Termination reason: Instruction limit
% 2.69/1.33 % (2143507)Termination phase: Saturation
% 2.69/1.33 % (2143507)Time elapsed: 0.091 s
% 2.69/1.33 % (2143507)Peak memory usage: 89 MB
% 2.69/1.33 % (2143507)Instructions burned: 140 (million)
% 2.69/1.33 % (2143510)lrs+10_1_sil=8000:sp=occurrence:random_seed=1463579073:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.69/1.33 % (2143510)First to succeed.
% 2.69/1.33 % (2143510)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2143497"
% 2.69/1.33 % (2143517)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1123284572:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.69/1.33 % (2143518)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3000656177:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.69/1.33 % (2143519)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=595426544:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 2.69/1.33 % (2143518)Also succeeded, but the first one will report.
% 2.69/1.33 % (2143510)Refutation found. Thanks to Tanya!
% 2.69/1.33 % SZS status Theorem for theBenchmark
% 2.69/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.82/1.43 % (2143510)------------------------------
% 3.82/1.43 % (2143510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.43 % (2143510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.43 % (2143510)CaDiCaL version: 2.1.3
% 3.82/1.43 % (2143510)Termination reason: Refutation
% 3.82/1.43 % (2143510)Time elapsed: 0.022 s
% 3.82/1.43 % (2143510)Peak memory usage: 90 MB
% 3.82/1.43 % (2143510)Instructions burned: 66 (million)
% 3.82/1.43 % (2143510)------------------------------
% 3.82/1.43 % (2143510)------------------------------
% 3.82/1.43 % (2143497)Success in time 0.466 s
% 3.82/1.43 % Vampire exiting
%------------------------------------------------------------------------------