%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT169_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 12:37:38 PM UTC 2026
% Result : Theorem 0.79s 0.59s
% Output : Refutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 8
% Syntax : Number of formulae : 78 ( 19 unt; 0 typ; 3 def)
% Number of atoms : 170 ( 48 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 156 ( 64 ~; 86 |; 2 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 41 ( 41 usr; 7 con; 0-5 aty)
% Number of variables : 53 ( 0 sgn 45 !; 8 ?; 53 :)
% 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] : ( fun(list(X0),bool) > X0 ) ).
tff(func_def_30,type,
sK8:
!>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).
tff(func_def_31,type,
sK9:
!>[X0: $tType] : ( fun(list(X0),bool) > list(X0) ) ).
tff(func_def_32,type,
sK10:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_33,type,
sK11:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > list(X0) ) ).
tff(func_def_34,type,
sK12:
!>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_35,type,
sK13:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_36,type,
sK14:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_37,type,
sK15:
!>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).
tff(func_def_38,type,
sK16:
!>[X0: $tType] : ( fun(list(X0),bool) > 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/sandbox2/benchmark/theBenchmark.p',fact_0_alt3) ).
tff(f3,axiom,
! [X0: $tType,X1: X0] : distinct(X0,cons(X0,X1,nil(X0))),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_4_distinct__length__2__or__more) ).
tff(f104,axiom,
a != b,
file('/export/starexec/sandbox2/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/sandbox2/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(f147,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(f148,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,[],[f107]) ).
tff(f150,plain,
! [X0: $tType,X1: X0] : distinct(X0,cons(X0,X1,nil(X0))),
inference(cnf_transformation,[],[f3]) ).
tff(f154,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,[],[f5]) ).
tff(f155,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,[],[f5]) ).
tff(f156,plain,
! [X0: $tType,X2: X0,X3: X0,X1: list(X0)] :
( ( X2 != X3 )
| ~ distinct(X0,cons(X0,X3,cons(X0,X2,X1))) ),
inference(cnf_transformation,[],[f5]) ).
tff(f157,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))
| ( X2 = X3 )
| ~ distinct(X0,cons(X0,X2,X1)) ),
inference(cnf_transformation,[],[f5]) ).
tff(f314,plain,
a != b,
inference(cnf_transformation,[],[f104]) ).
tff(f315,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,[],[f147]) ).
tff(f318,plain,
! [X0: $tType,X3: X0,X1: list(X0)] : ~ distinct(X0,cons(X0,X3,cons(X0,X3,X1))),
inference(equality_resolution,[],[f156]) ).
tff(f376,plain,
distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK1,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt)))),
inference(resolution,[],[f154,f148]) ).
tff(f378,plain,
distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt)))),
inference(resolution,[],[f155,f148]) ).
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))))
| ( a = b )
| ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) ),
inference(resolution,[],[f157,f315]) ).
tff(f525,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,[],[f510,f314]) ).
tff(f526,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 )
| ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) ),
inference(resolution,[],[f525,f157]) ).
tff(f527,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(forward_subsumption_resolution,[],[f526,f154]) ).
tff(f528,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,[],[f527,f150]) ).
tff(f543,plain,
! [X0: arrow_411405190le_alt] :
( ( b = X0 )
| ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))
| ( a = X0 )
| ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) ),
inference(resolution,[],[f528,f157]) ).
tff(f544,plain,
! [X0: arrow_411405190le_alt] :
( ( b = X0 )
| ( a = X0 )
| ~ distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) ),
inference(forward_subsumption_resolution,[],[f543,f150]) ).
tff(f545,plain,
! [X0: arrow_411405190le_alt] :
( ( b = X0 )
| ( a = X0 ) ),
inference(forward_subsumption_resolution,[],[f544,f150]) ).
tff(f546,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( X0 = X1 )
| ( a = X1 )
| ( a = X0 ) ),
inference(superposition,[],[f545,f545]) ).
tff(f571,definition,
( spl17_1
<=> ( a = sK2 ) ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
tff(f572,plain,
( ( a != sK2 )
| spl17_1 ),
inference(avatar_component_clause,[],[f571]) ).
tff(f573,plain,
( ( a = sK2 )
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f571]) ).
tff(f590,definition,
( spl17_5
<=> ( a = sK1 ) ),
introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition]) ).
tff(f591,plain,
( ( a != sK1 )
| spl17_5 ),
inference(avatar_component_clause,[],[f590]) ).
tff(f592,plain,
( ( a = sK1 )
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f590]) ).
tff(f604,definition,
( spl17_8
<=> ( a = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl17_8])],[avatar_definition]) ).
tff(f605,plain,
( ( a != sK0 )
| spl17_8 ),
inference(avatar_component_clause,[],[f604]) ).
tff(f606,plain,
( ( a = sK0 )
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f604]) ).
tff(f618,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt))))
| ~ spl17_5 ),
inference(superposition,[],[f376,f592]) ).
tff(f621,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))))
| ~ spl17_1
| ~ spl17_5 ),
inference(forward_demodulation,[],[f618,f573]) ).
tff(f622,plain,
( $false
| ~ spl17_1
| ~ spl17_5 ),
inference(forward_subsumption_resolution,[],[f621,f318]) ).
tff(f623,plain,
( ~ spl17_1
| ~ spl17_5 ),
inference(avatar_contradiction_clause,[],[f622]) ).
tff(f628,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt))))
| ~ spl17_8 ),
inference(superposition,[],[f378,f606]) ).
tff(f631,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))))
| ~ spl17_1
| ~ spl17_8 ),
inference(forward_demodulation,[],[f628,f573]) ).
tff(f632,plain,
( $false
| ~ spl17_1
| ~ spl17_8 ),
inference(forward_subsumption_resolution,[],[f631,f318]) ).
tff(f633,plain,
( ~ spl17_1
| ~ spl17_8 ),
inference(avatar_contradiction_clause,[],[f632]) ).
tff(f719,plain,
( ! [X0: arrow_411405190le_alt] :
( ( a != a )
| ( sK0 = X0 )
| ( a = X0 ) )
| spl17_8 ),
inference(superposition,[],[f605,f546]) ).
tff(f722,plain,
( ! [X0: arrow_411405190le_alt] :
( ( a != a )
| ( sK1 = X0 )
| ( a = X0 ) )
| spl17_5 ),
inference(superposition,[],[f591,f546]) ).
tff(f750,plain,
( ! [X0: arrow_411405190le_alt] :
( ( sK1 = X0 )
| ( a = X0 ) )
| spl17_5 ),
inference(trivial_inequality_removal,[],[f722]) ).
tff(f751,plain,
( ! [X0: arrow_411405190le_alt] :
( ( sK0 = X0 )
| ( a = X0 ) )
| spl17_8 ),
inference(trivial_inequality_removal,[],[f719]) ).
tff(f956,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK1,cons(arrow_411405190le_alt,sK1,nil(arrow_411405190le_alt))))
| ( a = sK2 )
| spl17_5 ),
inference(superposition,[],[f376,f750]) ).
tff(f981,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 )
| spl17_8 ),
inference(superposition,[],[f148,f751]) ).
tff(f999,plain,
( ( a = sK1 )
| spl17_8 ),
inference(forward_subsumption_resolution,[],[f981,f318]) ).
tff(f1002,plain,
( $false
| spl17_5
| spl17_8 ),
inference(forward_subsumption_resolution,[],[f999,f591]) ).
tff(f1003,plain,
( spl17_5
| spl17_8 ),
inference(avatar_contradiction_clause,[],[f1002]) ).
tff(f1060,plain,
( ( a = sK2 )
| spl17_5 ),
inference(forward_subsumption_resolution,[],[f956,f318]) ).
tff(f1071,plain,
( $false
| spl17_1
| spl17_5 ),
inference(forward_subsumption_resolution,[],[f1060,f572]) ).
tff(f1072,plain,
( spl17_1
| spl17_5 ),
inference(avatar_contradiction_clause,[],[f1071]) ).
tff(f1093,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt)))))
| ~ spl17_5 ),
inference(superposition,[],[f148,f592]) ).
tff(f1094,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,sK2,nil(arrow_411405190le_alt)))))
| ~ spl17_5
| ~ spl17_8 ),
inference(forward_demodulation,[],[f1093,f606]) ).
tff(f1095,plain,
( $false
| ~ spl17_5
| ~ spl17_8 ),
inference(forward_subsumption_resolution,[],[f1094,f318]) ).
tff(f1096,plain,
( ~ spl17_5
| ~ spl17_8 ),
inference(avatar_contradiction_clause,[],[f1095]) ).
tff(f1217,plain,
( ! [X0: arrow_411405190le_alt] :
( ( a != a )
| ( sK0 = X0 )
| ( a = X0 ) )
| spl17_8 ),
inference(superposition,[],[f605,f546]) ).
tff(f1251,plain,
( ! [X0: arrow_411405190le_alt] :
( ( sK0 = X0 )
| ( a = X0 ) )
| spl17_8 ),
inference(trivial_inequality_removal,[],[f1217]) ).
tff(f1335,plain,
( distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK0,cons(arrow_411405190le_alt,sK0,nil(arrow_411405190le_alt))))
| ( a = sK2 )
| spl17_8 ),
inference(superposition,[],[f378,f1251]) ).
tff(f1357,plain,
( ( a = sK2 )
| spl17_8 ),
inference(forward_subsumption_resolution,[],[f1335,f318]) ).
tff(f1361,plain,
( $false
| spl17_1
| spl17_8 ),
inference(forward_subsumption_resolution,[],[f1357,f572]) ).
tff(f1362,plain,
( spl17_1
| spl17_8 ),
inference(avatar_contradiction_clause,[],[f1361]) ).
cnf(s8,plain,
( ~ spl17_1
| ~ spl17_5 ),
inference(sat_conversion,[],[f623]) ).
cnf(s9,plain,
( ~ spl17_1
| ~ spl17_8 ),
inference(sat_conversion,[],[f633]) ).
cnf(s30,plain,
( spl17_5
| spl17_8 ),
inference(sat_conversion,[],[f1003]) ).
cnf(s58,plain,
( spl17_1
| spl17_5 ),
inference(sat_conversion,[],[f1072]) ).
cnf(s66,plain,
( ~ spl17_5
| ~ spl17_8 ),
inference(sat_conversion,[],[f1096]) ).
cnf(s75,plain,
( spl17_1
| spl17_8 ),
inference(sat_conversion,[],[f1362]) ).
cnf(s82,plain,
spl17_1,
inference(rat,[],[s66,s58,s75]) ).
cnf(s86,plain,
~ spl17_8,
inference(rat,[],[s9,s82]) ).
cnf(s87,plain,
~ spl17_5,
inference(rat,[],[s8,s82]) ).
cnf(s92,plain,
$false,
inference(rat,[],[s30,s86,s87]) ).
tff(f1363,plain,
$false,
inference(avatar_sat_refutation,[],[s92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT169_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n008.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 23:55:09 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.79/0.59 % (1736317)Will run a generic schedule for satisfiability detection.
% 0.79/0.59 % (1736322)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=602371095_2999 on theBenchmark for (2999ds/0Mi)
% 0.79/0.59 % Exception at run slice level
% 0.79/0.59 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.79/0.59 % (1736323)% WARNING: option uhcvi not known.
% 0.79/0.59 % (1736323)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1295942357:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.79/0.59 % (1736327)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1245327053:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.79/0.59 % (1736324)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2651981953:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.79/0.59 % (1736325)dis+10_1_sil=32000:sp=arity:random_seed=408088198:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.79/0.59 % (1736326)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=787520076:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.79/0.59 % (1736328)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2508098230:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.79/0.59 % (1736330)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2032961387:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.79/0.59 % Exception at run slice level
% 0.79/0.59 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.79/0.59 % (1736338)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=125727494:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.79/0.59 % (1736325)Instruction limit reached!
% 0.79/0.59 % (1736325)------------------------------
% 0.79/0.59 % (1736325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.59 % (1736325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.59 % (1736325)CaDiCaL version: 2.1.3
% 0.79/0.59 % (1736325)Termination reason: Instruction limit
% 0.79/0.59 % (1736325)Termination phase: Saturation
% 0.79/0.59 % (1736325)Time elapsed: 0.058 s
% 0.79/0.59 % (1736325)Peak memory usage: 12 MB
% 0.79/0.59 % (1736325)Instructions burned: 104 (million)
% 0.79/0.59 % (1736338)Instruction limit reached!
% 0.79/0.59 % (1736338)------------------------------
% 0.79/0.59 % (1736338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.59 % (1736338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.59 % (1736338)CaDiCaL version: 2.1.3
% 0.79/0.59 % (1736338)Termination reason: Instruction limit
% 0.79/0.59 % (1736338)Termination phase: Saturation
% 0.79/0.59 % (1736338)Time elapsed: 0.041 s
% 0.79/0.59 % (1736338)Peak memory usage: 12 MB
% 0.79/0.59 % (1736338)Instructions burned: 135 (million)
% 0.79/0.59 % (1736326)Instruction limit reached!
% 0.79/0.59 % (1736326)------------------------------
% 0.79/0.59 % (1736326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.59 % (1736326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.59 % (1736326)CaDiCaL version: 2.1.3
% 0.79/0.59 % (1736326)Termination reason: Instruction limit
% 0.79/0.59 % (1736326)Termination phase: Saturation
% 0.79/0.59 % (1736326)Time elapsed: 0.065 s
% 0.79/0.59 % (1736326)Peak memory usage: 12 MB
% 0.79/0.59 % (1736326)Instructions burned: 116 (million)
% 0.79/0.59 % (1736327)Instruction limit reached!
% 0.79/0.59 % (1736327)------------------------------
% 0.79/0.59 % (1736327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.59 % (1736327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.59 % (1736327)CaDiCaL version: 2.1.3
% 0.79/0.59 % (1736327)Termination reason: Instruction limit
% 0.79/0.59 % (1736327)Termination phase: Saturation
% 0.79/0.59 % (1736327)Time elapsed: 0.067 s
% 0.79/0.59 % (1736327)Peak memory usage: 12 MB
% 0.79/0.59 % (1736327)Instructions burned: 131 (million)
% 0.79/0.59 % (1736341)ott-21_1_sil=16000:fs=off:random_seed=2929844849:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.79/0.59 % (1736340)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2032698202:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.79/0.59 % (1736328)Instruction limit reached!
% 0.79/0.59 % (1736328)------------------------------
% 0.79/0.59 % (1736328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.59 % (1736328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.59 % (1736328)CaDiCaL version: 2.1.3
% 0.79/0.59 % (1736328)Termination reason: Instruction limit
% 0.79/0.59 % (1736328)Termination phase: Saturation
% 0.79/0.59 % (1736328)Time elapsed: 0.083 s
% 0.79/0.59 % (1736328)Peak memory usage: 12 MB
% 0.79/0.59 % (1736328)Instructions burned: 160 (million)
% 0.79/0.59 % (1736342)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3384861118:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.79/0.59 % (1736343)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=602112597:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.79/0.59 % Exception at run slice level
% 0.79/0.59 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.79/0.59 % (1736347)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4111120037:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 0.79/0.59 % (1736349)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2335913574:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 0.79/0.59 % (1736340) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1736317-1736340"...
% 0.79/0.59 % (1736340)...printing done.
% 0.79/0.59 % Exception at run slice level
% 0.79/0.59 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.79/0.59 % (1736340)Refutation found. Thanks to Tanya!
% 0.79/0.59 % SZS status Theorem for theBenchmark
% 0.79/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.79/0.60 % (1736340)------------------------------
% 0.79/0.60 % (1736340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.60 % (1736340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.60 % (1736340)CaDiCaL version: 2.1.3
% 0.79/0.60 % (1736340)Termination reason: Refutation
% 0.79/0.60 % (1736340)Time elapsed: 0.031 s
% 0.79/0.60 % (1736340)Peak memory usage: 13 MB
% 0.79/0.60 % (1736340)Instructions burned: 52 (million)
% 0.79/0.60 % (1736317)Success in time 0.151 s
% 0.79/0.60 % Vampire exiting
%------------------------------------------------------------------------------