%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL773_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 12:00:32 PM UTC 2026
% Result : Theorem 0.12s 0.48s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 39 ( 39 usr; 6 con; 0-5 aty)
% Number of variables : 9 ( 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(type_def_7,type,
dB: $tType ).
tff(type_def_8,type,
list: $tType > $tType ).
tff(type_def_9,type,
nat: $tType ).
tff(type_def_10,type,
char: $tType ).
tff(type_def_11,type,
literal: $tType ).
tff(type_def_12,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
sgn_sgn:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_1,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_2,type,
bool_size: bool > nat ).
tff(func_def_3,type,
if:
!>[X0: $tType] : ( ( bool * X0 * X0 ) > X0 ) ).
tff(func_def_4,type,
it: fun(dB,bool) ).
tff(func_def_5,type,
abs: dB > dB ).
tff(func_def_6,type,
app: fun(dB,fun(dB,dB)) ).
tff(func_def_7,type,
var: nat > dB ).
tff(func_def_8,type,
dB_case:
!>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,X0)) * fun(dB,X0) * dB ) > X0 ) ).
tff(func_def_9,type,
dB_rec:
!>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,fun(X0,fun(X0,X0)))) * fun(dB,fun(X0,X0)) * dB ) > X0 ) ).
tff(func_def_10,type,
dB_size: dB > nat ).
tff(func_def_11,type,
lift: ( dB * nat ) > dB ).
tff(func_def_12,type,
liftn: ( nat * dB * nat ) > dB ).
tff(func_def_13,type,
subst: ( dB * dB * nat ) > dB ).
tff(func_def_14,type,
substn: ( dB * dB * nat ) > dB ).
tff(func_def_15,type,
foldl:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).
tff(func_def_16,type,
nat_size: nat > nat ).
tff(func_def_17,type,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_18,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_19,type,
char_size: char > nat ).
tff(func_def_20,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_21,type,
fFalse: bool ).
tff(func_def_22,type,
fTrue: bool ).
tff(func_def_23,type,
i: nat ).
tff(func_def_24,type,
r: dB ).
tff(func_def_25,type,
sK0: ( dB * dB ) > dB ).
tff(func_def_26,type,
sK1:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_27,type,
sK2: ( dB * dB * dB ) > dB ).
tff(func_def_28,type,
sK3: ( dB * dB * dB ) > dB ).
tff(func_def_29,type,
sK4: ( dB * dB * dB ) > dB ).
tff(func_def_30,type,
sK5: dB > dB ).
tff(func_def_31,type,
sK6: dB > dB ).
tff(func_def_32,type,
sK7: dB > list(dB) ).
tff(func_def_33,type,
sK8: dB > dB ).
tff(func_def_34,type,
sK9: dB > list(dB) ).
tff(func_def_35,type,
sK10: dB > nat ).
tff(func_def_36,type,
sK11: int > nat ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
sgn_if:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
semiring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
beta: ( dB * dB ) > $o ).
tff(pred_def_8,type,
listsp:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_9,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_10,type,
pp: bool > $o ).
tff(f2,axiom,
! [X0: nat,X1: nat,X2: dB] :
( pp(aa(dB,bool,it,X2))
=> pp(aa(dB,bool,it,subst(X2,var(X1),X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_subst__Var__IT) ).
tff(f119,axiom,
pp(aa(dB,bool,it,r)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f121,conjecture,
pp(aa(dB,bool,it,subst(r,var(i),zero_zero(nat)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
tff(f122,negated_conjecture,
~ pp(aa(dB,bool,it,subst(r,var(i),zero_zero(nat)))),
inference(negated_conjecture,[status(cth)],[f121]) ).
tff(f126,plain,
~ pp(aa(dB,bool,it,subst(r,var(i),zero_zero(nat)))),
inference(flattening,[],[f122]) ).
tff(f127,plain,
! [X0: nat,X1: nat,X2: dB] :
( pp(aa(dB,bool,it,subst(X2,var(X1),X0)))
| ~ pp(aa(dB,bool,it,X2)) ),
inference(ennf_transformation,[],[f2]) ).
tff(f170,plain,
! [X2: dB,X0: nat,X1: nat] :
( pp(aa(dB,bool,it,subst(X2,var(X1),X0)))
| ~ pp(aa(dB,bool,it,X2)) ),
inference(cnf_transformation,[],[f127]) ).
tff(f334,plain,
pp(aa(dB,bool,it,r)),
inference(cnf_transformation,[],[f119]) ).
tff(f336,plain,
~ pp(aa(dB,bool,it,subst(r,var(i),zero_zero(nat)))),
inference(cnf_transformation,[],[f126]) ).
tff(f736,plain,
~ pp(aa(dB,bool,it,r)),
inference(resolution,[],[f170,f336]) ).
tff(f751,plain,
$false,
inference(forward_subsumption_resolution,[],[f736,f334]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL773_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n005.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 16:47:32 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.48 % (8765)Will run a generic schedule for satisfiability detection.
% 0.12/0.48 % (8774)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=335825307:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.48 % (8771)% WARNING: option uhcvi not known.
% 0.12/0.48 % (8771)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2751710732:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.48 % (8770)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=587327166_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.48 % (8772)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3775508629:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.48 % (8773)dis+10_1_sil=32000:sp=arity:random_seed=3213364083:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.48 % (8776)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2336552792:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.48 % (8775)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2200774269:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.48 % (8774) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-8765-8774"...
% 0.12/0.48 % Exception at run slice level% (8774)...printing done.
% 0.12/0.48
% 0.12/0.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.48 % (8774)Refutation found. Thanks to Tanya!
% 0.12/0.48 % SZS status Theorem for theBenchmark
% 0.12/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.48 % (8774)------------------------------
% 0.12/0.48 % (8774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.48 % (8774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.48 % (8774)CaDiCaL version: 2.1.3
% 0.12/0.48 % (8774)Termination reason: Refutation
% 0.12/0.48 % (8774)Time elapsed: 0.012 s
% 0.12/0.48 % (8774)Peak memory usage: 12 MB
% 0.12/0.48 % (8774)Instructions burned: 34 (million)
% 0.12/0.48 % (8765)Success in time 0.053 s
% 0.12/0.48 % Vampire exiting
%------------------------------------------------------------------------------