%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL795_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 : n007.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 12:00:37 PM UTC 2026
% Result : Theorem 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 9 ~; 3 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 79 ( 79 usr; 27 con; 0-5 aty)
% Number of variables : 32 ( 32 !; 0 ?; 32 :)
% 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,
type: $tType ).
tff(type_def_10,type,
fun1: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : fun1(fun1(X0,X1),fun1(fun1(X2,X0),fun1(X2,X1))) ).
tff(func_def_1,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun1(X0,fun1(X1,X2)) * X1 ) > fun1(X0,X2) ) ).
tff(func_def_2,type,
combi:
!>[X0: $tType] : fun1(X0,X0) ).
tff(func_def_3,type,
combs:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun1(X0,fun1(X1,X2)) * fun1(X0,X1) ) > fun1(X0,X2) ) ).
tff(func_def_4,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_5,type,
it: fun1(dB,bool) ).
tff(func_def_6,type,
beta: fun1(dB,fun1(dB,bool)) ).
tff(func_def_7,type,
abs: dB > dB ).
tff(func_def_8,type,
app: fun1(dB,fun1(dB,dB)) ).
tff(func_def_9,type,
var: nat > dB ).
tff(func_def_10,type,
dB_size: dB > nat ).
tff(func_def_11,type,
lift: fun1(dB,fun1(nat,dB)) ).
tff(func_def_12,type,
subst: fun1(dB,fun1(dB,fun1(nat,dB))) ).
tff(func_def_13,type,
foldl:
!>[X0: $tType,X1: $tType] : ( ( fun1(X0,fun1(X1,X0)) * X0 * list(X1) ) > X0 ) ).
tff(func_def_14,type,
foldr:
!>[X0: $tType,X1: $tType] : ( ( fun1(X0,fun1(X1,X1)) * list(X0) * X1 ) > X1 ) ).
tff(func_def_15,type,
cons:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_16,type,
list_case:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun1(X1,fun1(list(X1),X0)) * list(X1) ) > X0 ) ).
tff(func_def_17,type,
map:
!>[X0: $tType,X1: $tType] : ( ( fun1(X0,X1) * list(X0) ) > list(X1) ) ).
tff(func_def_18,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_19,type,
shift:
!>[X0: $tType] : ( ( fun1(nat,X0) * nat * X0 ) > fun1(nat,X0) ) ).
tff(func_def_20,type,
fun: fun1(type,fun1(type,type)) ).
tff(func_def_21,type,
type_case:
!>[X0: $tType] : ( ( fun1(nat,X0) * fun1(type,fun1(type,X0)) * type ) > X0 ) ).
tff(func_def_22,type,
typing: ( fun1(nat,type) * dB ) > fun1(type,bool) ).
tff(func_def_23,type,
typings: ( fun1(nat,type) * list(dB) ) > fun1(list(type),bool) ).
tff(func_def_24,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun1(X0,X1) * X0 ) > X1 ) ).
tff(func_def_25,type,
fFalse: bool ).
tff(func_def_26,type,
fTrue: bool ).
tff(func_def_27,type,
fconj: fun1(bool,fun1(bool,bool)) ).
tff(func_def_28,type,
t1: type ).
tff(func_def_29,type,
t: type ).
tff(func_def_30,type,
t_a: type ).
tff(func_def_31,type,
t2: type ).
tff(func_def_32,type,
ts: list(type) ).
tff(func_def_33,type,
a: dB ).
tff(func_def_34,type,
as: list(dB) ).
tff(func_def_35,type,
e: fun1(nat,type) ).
tff(func_def_36,type,
ea: fun1(nat,type) ).
tff(func_def_37,type,
i: nat ).
tff(func_def_38,type,
ia: nat ).
tff(func_def_39,type,
n: nat ).
tff(func_def_40,type,
rs: list(dB) ).
tff(func_def_41,type,
t3: dB ).
tff(func_def_42,type,
u: dB ).
tff(func_def_43,type,
ua: dB ).
tff(func_def_44,type,
sK0: ( type * dB * fun1(nat,type) ) > type ).
tff(func_def_45,type,
sK1: ( type * dB * fun1(nat,type) ) > type ).
tff(func_def_46,type,
sK2: type ).
tff(func_def_47,type,
sK3: ( dB * fun1(nat,type) ) > type ).
tff(func_def_48,type,
sK4: ( dB * fun1(nat,type) ) > type ).
tff(func_def_49,type,
sK5: list(type) ).
tff(func_def_50,type,
sK6: ( type * dB * dB * fun1(nat,type) ) > type ).
tff(func_def_51,type,
sK7: ( type * type * list(dB) * fun1(nat,type) ) > list(type) ).
tff(func_def_52,type,
sK8: ( type * list(dB) * nat * fun1(nat,type) ) > list(type) ).
tff(func_def_53,type,
sK9: ( type * list(dB) * dB * fun1(nat,type) ) > list(type) ).
tff(func_def_54,type,
sK10: ( type * list(dB) * dB * fun1(nat,type) ) > list(type) ).
tff(func_def_55,type,
sK11:
!>[X0: $tType,X1: $tType] : ( ( fun1(X1,X0) * fun1(X1,X0) ) > X1 ) ).
tff(func_def_56,type,
sK12: ( dB * dB ) > dB ).
tff(func_def_57,type,
sK13: dB > dB ).
tff(func_def_58,type,
sK14: dB > dB ).
tff(func_def_59,type,
sK15: dB > list(dB) ).
tff(func_def_60,type,
sK16: dB > dB ).
tff(func_def_61,type,
sK17: dB > list(dB) ).
tff(func_def_62,type,
sK18: dB > nat ).
tff(func_def_63,type,
sK19: ( dB * dB * dB ) > dB ).
tff(func_def_64,type,
sK20: ( dB * dB * dB ) > dB ).
tff(func_def_65,type,
sK21: ( dB * dB * dB ) > dB ).
tff(func_def_66,type,
sK22: ( dB * list(dB) * dB ) > dB ).
tff(func_def_67,type,
sK23: ( dB * list(dB) * dB ) > list(dB) ).
tff(func_def_68,type,
sK24: ( dB * list(dB) * dB ) > dB ).
tff(func_def_69,type,
sK25: ( dB * list(dB) * dB ) > dB ).
tff(func_def_70,type,
sK26: ( dB * list(dB) * dB ) > list(dB) ).
tff(func_def_71,type,
sK27: ( dB * list(dB) * nat ) > list(dB) ).
tff(func_def_72,type,
sK28:
!>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * fun1(X0,fun1(X0,bool)) ) > X0 ) ).
tff(func_def_73,type,
sK29:
!>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * fun1(X0,fun1(X0,bool)) ) > list(X0) ) ).
tff(func_def_74,type,
sK30:
!>[X0: $tType,X1: $tType] : ( fun1(X0,fun1(X1,X0)) > X1 ) ).
tff(func_def_75,type,
sK31:
!>[X0: $tType,X1: $tType] : ( fun1(X0,fun1(X1,X0)) > X1 ) ).
tff(func_def_76,type,
sK32:
!>[X0: $tType,X1: $tType] : ( fun1(X0,fun1(X1,X0)) > X0 ) ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
step1:
!>[X0: $tType] : ( ( fun1(X0,fun1(X0,bool)) * list(X0) * list(X0) ) > $o ) ).
tff(pred_def_3,type,
listsp:
!>[X0: $tType] : ( ( fun1(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_4,type,
pp: bool > $o ).
tff(f4,axiom,
pp(aa(type,bool,typing(e,u),t2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_uT) ).
tff(f5,axiom,
! [X0: type,X1: nat,X2: type,X3: dB,X4: fun1(nat,type)] :
( pp(aa(type,bool,typing(X4,X3),X2))
=> pp(aa(type,bool,typing(shift(type,X4,X1,X0),aa(nat,dB,aa(dB,fun1(nat,dB),lift,X3),X1)),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_lift__type) ).
tff(f6,axiom,
t2 = aa(type,type,aa(type,fun1(type,type),fun,t1),foldr(type,type,fun,ts,t)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_T) ).
tff(f104,axiom,
! [X0: $tType,X1: $tType,X2: $tType,X3: X0,X4: X2,X5: fun1(X0,fun1(X2,X1))] : ( aa(X0,X1,combc(X0,X2,X1,X5,X4),X3) = aa(X2,X1,aa(X0,fun1(X2,X1),X5,X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_U) ).
tff(f112,conjecture,
pp(aa(type,bool,typing(shift(type,e,zero_zero(nat),t1),aa(nat,dB,aa(dB,fun1(nat,dB),lift,u),zero_zero(nat))),aa(type,type,aa(type,fun1(type,type),fun,t1),foldr(type,type,fun,ts,t)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f113,negated_conjecture,
~ pp(aa(type,bool,typing(shift(type,e,zero_zero(nat),t1),aa(nat,dB,aa(dB,fun1(nat,dB),lift,u),zero_zero(nat))),aa(type,type,aa(type,fun1(type,type),fun,t1),foldr(type,type,fun,ts,t)))),
inference(negated_conjecture,[status(cth)],[f112]) ).
tff(f116,plain,
~ pp(aa(type,bool,typing(shift(type,e,zero_zero(nat),t1),aa(nat,dB,aa(dB,fun1(nat,dB),lift,u),zero_zero(nat))),aa(type,type,aa(type,fun1(type,type),fun,t1),foldr(type,type,fun,ts,t)))),
inference(flattening,[],[f113]) ).
tff(f117,plain,
! [X0: type,X1: nat,X2: type,X3: dB,X4: fun1(nat,type)] :
( pp(aa(type,bool,typing(shift(type,X4,X1,X0),aa(nat,dB,aa(dB,fun1(nat,dB),lift,X3),X1)),X2))
| ~ pp(aa(type,bool,typing(X4,X3),X2)) ),
inference(ennf_transformation,[],[f5]) ).
tff(f177,plain,
pp(aa(type,bool,typing(e,u),t2)),
inference(cnf_transformation,[],[f4]) ).
tff(f178,plain,
! [X2: type,X3: dB,X0: type,X1: nat,X4: fun1(nat,type)] :
( ~ pp(aa(type,bool,typing(X4,X3),X2))
| pp(aa(type,bool,typing(shift(type,X4,X1,X0),aa(nat,dB,aa(dB,fun1(nat,dB),lift,X3),X1)),X2)) ),
inference(cnf_transformation,[],[f117]) ).
tff(f179,plain,
aa(type,type,aa(type,fun1(type,type),fun,t1),foldr(type,type,fun,ts,t)) = t2,
inference(cnf_transformation,[],[f6]) ).
tff(f342,plain,
! [X1: $tType,X0: $tType,X2: $tType,X3: X0,X4: X2,X5: fun1(X0,fun1(X2,X1))] : ( aa(X0,X1,combc(X0,X2,X1,X5,X4),X3) = aa(X2,X1,aa(X0,fun1(X2,X1),X5,X3),X4) ),
inference(cnf_transformation,[],[f104]) ).
tff(f350,plain,
~ pp(aa(type,bool,typing(shift(type,e,zero_zero(nat),t1),aa(nat,dB,aa(dB,fun1(nat,dB),lift,u),zero_zero(nat))),aa(type,type,aa(type,fun1(type,type),fun,t1),foldr(type,type,fun,ts,t)))),
inference(cnf_transformation,[],[f116]) ).
tff(f943,plain,
~ pp(aa(type,bool,typing(shift(type,e,zero_zero(nat),t1),aa(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),u)),aa(type,type,aa(type,fun1(type,type),fun,t1),foldr(type,type,fun,ts,t)))),
inference(superposition,[],[f350,f342]) ).
tff(f956,plain,
~ pp(aa(type,bool,typing(shift(type,e,zero_zero(nat),t1),aa(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),u)),t2)),
inference(forward_demodulation,[],[f943,f179]) ).
tff(f1796,plain,
! [X2: type,X3: dB,X0: type,X1: nat,X4: fun1(nat,type)] :
( pp(aa(type,bool,typing(shift(type,X4,X1,X0),aa(dB,dB,combc(dB,nat,dB,lift,X1),X3)),X2))
| ~ pp(aa(type,bool,typing(X4,X3),X2)) ),
inference(forward_demodulation,[],[f178,f342]) ).
tff(f1799,plain,
~ pp(aa(type,bool,typing(e,u),t2)),
inference(resolution,[],[f1796,f956]) ).
tff(f1818,plain,
$false,
inference(forward_subsumption_resolution,[],[f1799,f177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL795_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n007.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 16:50:21 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.18/0.53 % (1645889)Will run a generic schedule for satisfiability detection.
% 0.18/0.53 % (1645894)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3090850764_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.53 % (1645895)% WARNING: option uhcvi not known.
% 0.18/0.53 % Exception at run slice level
% 0.18/0.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.53 % (1645895)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1572571614:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.53 % (1645896)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2527707814:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.53 % (1645897)dis+10_1_sil=32000:sp=arity:random_seed=2003104981:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.53 % (1645898)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3896504393:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.53 % (1645900)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3282418251:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.53 % (1645899)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=110600112:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.53 % (1645902)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3053905066:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.18/0.53 % Exception at run slice level
% 0.18/0.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.53 % (1645910)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1486993521:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.53 % (1645898)Instruction limit reached!
% 0.18/0.53 % (1645898)------------------------------
% 0.18/0.53 % (1645898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.53 % (1645898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.53 % (1645898)CaDiCaL version: 2.1.3
% 0.18/0.53 % (1645898)Termination reason: Instruction limit
% 0.18/0.53 % (1645898)Termination phase: Saturation
% 0.18/0.53 % (1645898)Time elapsed: 0.058 s
% 0.18/0.53 % (1645898)Peak memory usage: 12 MB
% 0.18/0.53 % (1645898)Instructions burned: 117 (million)
% 0.18/0.53 % (1645897)Instruction limit reached!
% 0.18/0.53 % (1645897)------------------------------
% 0.18/0.53 % (1645897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.53 % (1645897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.53 % (1645897)CaDiCaL version: 2.1.3
% 0.18/0.53 % (1645897)Termination reason: Instruction limit
% 0.18/0.53 % (1645897)Termination phase: Saturation
% 0.18/0.53 % (1645897)Time elapsed: 0.058 s
% 0.18/0.53 % (1645897)Peak memory usage: 12 MB
% 0.18/0.53 % (1645897)Instructions burned: 103 (million)
% 0.18/0.53 % (1645910)Instruction limit reached!
% 0.18/0.53 % (1645910)------------------------------
% 0.18/0.53 % (1645910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.53 % (1645910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.53 % (1645910)CaDiCaL version: 2.1.3
% 0.18/0.53 % (1645910)Termination reason: Instruction limit
% 0.18/0.53 % (1645910)Termination phase: Saturation
% 0.18/0.53 % (1645910)Time elapsed: 0.040 s
% 0.18/0.53 % (1645910)Peak memory usage: 12 MB
% 0.18/0.53 % (1645910)Instructions burned: 133 (million)
% 0.18/0.53 % (1645895) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1645889-1645895"...
% 0.18/0.53 % (1645895)...printing done.
% 0.18/0.53 % (1645895)Refutation found. Thanks to Tanya!
% 0.18/0.53 % SZS status Theorem for theBenchmark
% 0.18/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53 % (1645895)------------------------------
% 0.18/0.53 % (1645895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.53 % (1645895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.53 % (1645895)CaDiCaL version: 2.1.3
% 0.18/0.53 % (1645895)Termination reason: Refutation
% 0.18/0.53 % (1645895)Time elapsed: 0.068 s
% 0.18/0.53 % (1645895)Peak memory usage: 13 MB
% 0.18/0.53 % (1645895)Instructions burned: 115 (million)
% 0.18/0.53 % (1645889)Success in time 0.115 s
% 0.18/0.53 % Vampire exiting
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