%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL793_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 : n006.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 0.49s
% Output : Refutation 0.18s
% 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 : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 5 con; 0-5 aty)
% Number of variables : 6 ( 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
dB: $tType ).
tff(type_def_7,type,
nat: $tType ).
tff(type_def_8,type,
char: $tType ).
tff(type_def_9,type,
literal: $tType ).
tff(type_def_10,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * 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,
app: ( dB * dB ) > dB ).
tff(func_def_4,type,
var: nat > dB ).
tff(func_def_5,type,
dB_case:
!>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,X0)) * fun(dB,X0) * dB ) > X0 ) ).
tff(func_def_6,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_7,type,
dB_size: dB > nat ).
tff(func_def_8,type,
lift: ( dB * nat ) > dB ).
tff(func_def_9,type,
liftn: ( nat * dB * nat ) > dB ).
tff(func_def_10,type,
subst: ( dB * dB * nat ) > dB ).
tff(func_def_11,type,
substn: ( dB * dB * nat ) > dB ).
tff(func_def_12,type,
nat_size: nat > nat ).
tff(func_def_13,type,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_14,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_15,type,
char_size: char > nat ).
tff(func_def_16,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_17,type,
fFalse: bool ).
tff(func_def_18,type,
fTrue: bool ).
tff(func_def_19,type,
t: dB ).
tff(func_def_20,type,
u: dB ).
tff(func_def_21,type,
ua: dB ).
tff(func_def_22,type,
sK0: fun(nat,bool) > nat ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
semiring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
comm_monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
ordere236663937imp_le:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
ordere223160158up_add:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
it: dB > $o ).
tff(pred_def_14,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_15,type,
pp: bool > $o ).
tff(f4,axiom,
it(lift(u,zero_zero(nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3__096IT_A_Ilift_Au_A0_J_096) ).
tff(f7,axiom,
! [X0: nat,X1: dB] :
( it(X1)
=> it(app(X1,var(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_app__Var__IT) ).
tff(f117,conjecture,
it(app(lift(u,zero_zero(nat)),var(zero_zero(nat)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f118,negated_conjecture,
~ it(app(lift(u,zero_zero(nat)),var(zero_zero(nat)))),
inference(negated_conjecture,[status(cth)],[f117]) ).
tff(f119,plain,
~ it(app(lift(u,zero_zero(nat)),var(zero_zero(nat)))),
inference(flattening,[],[f118]) ).
tff(f124,plain,
! [X0: nat,X1: dB] :
( it(app(X1,var(X0)))
| ~ it(X1) ),
inference(ennf_transformation,[],[f7]) ).
tff(f196,plain,
it(lift(u,zero_zero(nat))),
inference(cnf_transformation,[],[f4]) ).
tff(f199,plain,
! [X0: nat,X1: dB] :
( it(app(X1,var(X0)))
| ~ it(X1) ),
inference(cnf_transformation,[],[f124]) ).
tff(f337,plain,
~ it(app(lift(u,zero_zero(nat)),var(zero_zero(nat)))),
inference(cnf_transformation,[],[f119]) ).
tff(f415,plain,
~ it(lift(u,zero_zero(nat))),
inference(resolution,[],[f199,f337]) ).
tff(f416,plain,
$false,
inference(resolution,[],[f415,f196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL793_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 % Computer : n006.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 16:50:56 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.44 Running first-order model finding
% 0.13/0.44 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
% 0.18/0.49 % (3166872)Will run a generic schedule for satisfiability detection.
% 0.18/0.49 % (3166883)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2754278027:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.49 % (3166878)% WARNING: option uhcvi not known.
% 0.18/0.49 % (3166883) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3166872-3166883"...
% 0.18/0.49 % (3166883)...printing done.
% 0.18/0.49 % (3166883)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (3166883)------------------------------
% 0.18/0.49 % (3166883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.49 % (3166883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.49 % (3166883)CaDiCaL version: 2.1.3
% 0.18/0.49 % (3166883)Termination reason: Refutation
% 0.18/0.49 % (3166883)Time elapsed: 0.004 s
% 0.18/0.49 % (3166883)Peak memory usage: 12 MB
% 0.18/0.49 % (3166883)Instructions burned: 9 (million)
% 0.18/0.49 % (3166872)Success in time 0.038 s
% 0.18/0.49 % Vampire exiting
%------------------------------------------------------------------------------