%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL748_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 : n012.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 12:00:27 PM UTC 2026
% Result : Theorem 0.07s 0.39s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 5 con; 0-5 aty)
% Number of variables : 27 ( 27 !; 0 ?; 27 :)
% 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,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_1,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_2,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_3,type,
abs: dB > dB ).
tff(func_def_4,type,
app: fun(dB,fun(dB,dB)) ).
tff(func_def_5,type,
var: nat > dB ).
tff(func_def_6,type,
dB_case:
!>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,X0)) * fun(dB,X0) * dB ) > X0 ) ).
tff(func_def_7,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_8,type,
dB_size: dB > nat ).
tff(func_def_9,type,
lift: ( dB * nat ) > dB ).
tff(func_def_10,type,
liftn: ( nat * dB * nat ) > dB ).
tff(func_def_11,type,
subst: ( dB * dB * nat ) > dB ).
tff(func_def_12,type,
substn: ( dB * dB * nat ) > dB ).
tff(func_def_13,type,
foldl:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).
tff(func_def_14,type,
suc: nat > nat ).
tff(func_def_15,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_16,type,
fFalse: bool ).
tff(func_def_17,type,
fTrue: bool ).
tff(func_def_18,type,
ia: nat ).
tff(func_def_19,type,
r: dB ).
tff(func_def_20,type,
sK0: ( dB * dB ) > dB ).
tff(func_def_21,type,
sK1: ( dB * dB * dB ) > dB ).
tff(func_def_22,type,
sK2: ( dB * dB * dB ) > dB ).
tff(func_def_23,type,
sK3: ( dB * dB * dB ) > dB ).
tff(func_def_24,type,
sK4:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(pred_def_1,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
zero_neq_one:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
comm_semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
comm_monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
ab_semigroup_add:
!>[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,
semiri456707255roduct:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
it: dB > $o ).
tff(pred_def_13,type,
beta: ( dB * dB ) > $o ).
tff(pred_def_14,type,
pp: bool > $o ).
tff(f1,axiom,
! [X3: dB] :
( it(X3)
=> it(abs(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_Lambda) ).
tff(f5,axiom,
! [X0: nat,X1: dB] : ( lift(abs(X1),X0) = abs(lift(X1,plus_plus(nat,X0,one_one(nat)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_lift_Osimps_I3_J) ).
tff(f42,axiom,
! [X0: nat,X1: dB] : ( liftn(zero_zero(nat),X1,X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_liftn__0) ).
tff(f81,axiom,
one_one(nat) = suc(zero_zero(nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_One__nat__def) ).
tff(f82,axiom,
! [X0: nat,X1: dB,X2: nat] : ( liftn(suc(X2),X1,X0) = lift(liftn(X2,X1,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_liftn__lift) ).
tff(f112,axiom,
! [X0: nat] : it(lift(r,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(f113,conjecture,
it(lift(abs(r),ia)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
tff(f114,negated_conjecture,
~ it(lift(abs(r),ia)),
inference(negated_conjecture,[status(cth)],[f113]) ).
tff(f115,plain,
! [X0: dB] :
( it(X0)
=> it(abs(X0)) ),
inference(rectify,[],[f1]) ).
tff(f117,plain,
~ it(lift(abs(r),ia)),
inference(flattening,[],[f114]) ).
tff(f120,plain,
! [X0: dB] :
( it(abs(X0))
| ~ it(X0) ),
inference(ennf_transformation,[],[f115]) ).
tff(f184,plain,
! [X0: dB] :
( ~ it(X0)
| it(abs(X0)) ),
inference(cnf_transformation,[],[f120]) ).
tff(f189,plain,
! [X0: nat,X1: dB] : ( lift(abs(X1),X0) = abs(lift(X1,plus_plus(nat,X0,one_one(nat)))) ),
inference(cnf_transformation,[],[f5]) ).
tff(f235,plain,
! [X0: nat,X1: dB] : ( liftn(zero_zero(nat),X1,X0) = X1 ),
inference(cnf_transformation,[],[f42]) ).
tff(f284,plain,
one_one(nat) = suc(zero_zero(nat)),
inference(cnf_transformation,[],[f81]) ).
tff(f285,plain,
! [X2: nat,X0: nat,X1: dB] : ( liftn(suc(X2),X1,X0) = lift(liftn(X2,X1,X0),X0) ),
inference(cnf_transformation,[],[f82]) ).
tff(f330,plain,
! [X0: nat] : it(lift(r,X0)),
inference(cnf_transformation,[],[f112]) ).
tff(f331,plain,
~ it(lift(abs(r),ia)),
inference(cnf_transformation,[],[f117]) ).
tff(f340,plain,
! [X0: nat] : it(abs(lift(r,X0))),
inference(resolution,[],[f184,f330]) ).
tff(f740,plain,
! [X0: dB,X1: nat] : ( lift(X0,X1) = liftn(suc(zero_zero(nat)),X0,X1) ),
inference(superposition,[],[f285,f235]) ).
tff(f745,plain,
! [X0: dB,X1: nat] : ( lift(X0,X1) = liftn(one_one(nat),X0,X1) ),
inference(forward_demodulation,[],[f740,f284]) ).
tff(f753,plain,
~ it(liftn(one_one(nat),abs(r),ia)),
inference(superposition,[],[f331,f745]) ).
tff(f778,plain,
! [X0: nat] : it(lift(abs(r),X0)),
inference(superposition,[],[f340,f189]) ).
tff(f793,plain,
! [X0: nat] : it(liftn(one_one(nat),abs(r),X0)),
inference(forward_demodulation,[],[f778,f745]) ).
tff(f826,plain,
$false,
inference(resolution,[],[f793,f753]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL748_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.32 % Computer : n012.cluster.edu
% 0.07/0.32 % Model : x86_64 x86_64
% 0.07/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.32 % Memory : 8046.5625MB
% 0.07/0.32 % OS : Linux 6.8.0-71-generic
% 0.07/0.32 % CPULimit : 300
% 0.07/0.32 % WCLimit : 300
% 0.07/0.32 % DateTime : Sun Sep 27 16:43:19 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.07/0.33 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.34 Running first-order model finding
% 0.07/0.34 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
% 0.07/0.39 % (2582147)Will run a generic schedule for satisfiability detection.
% 0.07/0.39 % (2582153)% WARNING: option uhcvi not known.
% 0.07/0.39 % (2582152)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=707774219_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.39 % (2582153)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=249666268:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.39 % (2582154)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3984870388:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.39 % (2582155)dis+10_1_sil=32000:sp=arity:random_seed=789795673:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.39 % (2582156)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2909916196:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.39 % (2582157)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1873929387:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.39 % (2582158)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1612607829:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.39 % Exception at run slice level
% 0.07/0.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.07/0.39 % (2582157) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2582147-2582157"...
% 0.07/0.39 % (2582157)...printing done.
% 0.07/0.39 % (2582157)Refutation found. Thanks to Tanya!
% 0.07/0.39 % SZS status Theorem for theBenchmark
% 0.07/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.39 % (2582157)------------------------------
% 0.07/0.39 % (2582157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.39 % (2582157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.39 % (2582157)CaDiCaL version: 2.1.3
% 0.07/0.39 % (2582157)Termination reason: Refutation
% 0.07/0.39 % (2582157)Time elapsed: 0.010 s
% 0.07/0.39 % (2582157)Peak memory usage: 12 MB
% 0.07/0.39 % (2582157)Instructions burned: 32 (million)
% 0.07/0.39 % (2582147)Success in time 0.038 s
% 0.07/0.39 % Vampire exiting
%------------------------------------------------------------------------------