%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL792_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 11:56:37 AM UTC 2026
% Result : Theorem 0.17s 1.50s
% Output : Refutation 0.17s
% 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 : 3 ( 1 avg)
% Number of types : 8 ( 7 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; 0-4 aty)
% Number of variables : 6 ( 6 !; 0 ?; 6 :)
% 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,
nat: $tType ).
tff(type_def_9,type,
char1: $tType ).
tff(type_def_10,type,
literal: $tType ).
tff(type_def_11,type,
nibble: $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,
nat1: int > nat ).
tff(func_def_5,type,
ring_1_of_int:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_6,type,
lift: ( dB * nat ) > dB ).
tff(func_def_7,type,
nat_case:
!>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).
tff(func_def_8,type,
nat_size: nat > nat ).
tff(func_def_9,type,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_10,type,
semiri532925092at_aux:
!>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).
tff(func_def_11,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_12,type,
nat_tsub: ( int * int ) > int ).
tff(func_def_13,type,
char: ( nibble * nibble ) > char1 ).
tff(func_def_14,type,
char_case:
!>[X0: $tType] : ( ( fun(nibble,fun(nibble,X0)) * char1 ) > X0 ) ).
tff(func_def_15,type,
char_rec:
!>[X0: $tType] : ( ( fun(nibble,fun(nibble,X0)) * char1 ) > X0 ) ).
tff(func_def_16,type,
char_size: char1 > nat ).
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,
t: dB ).
tff(func_def_21,type,
u: dB ).
tff(func_def_22,type,
ua: dB ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
ring_1:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
sgn_if:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
semiring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
it: dB > $o ).
tff(pred_def_14,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_15,type,
pp: bool > $o ).
tff(f3,axiom,
it(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_uIT) ).
tff(f4,axiom,
! [X0: nat,X1: dB] :
( it(X1)
=> it(lift(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_lift__IT) ).
tff(f136,conjecture,
it(lift(u,zero_zero(nat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f137,negated_conjecture,
~ it(lift(u,zero_zero(nat))),
inference(negated_conjecture,[status(cth)],[f136]) ).
tff(f138,plain,
~ it(lift(u,zero_zero(nat))),
inference(flattening,[],[f137]) ).
tff(f139,plain,
! [X0: nat,X1: dB] :
( it(lift(X1,X0))
| ~ it(X1) ),
inference(ennf_transformation,[],[f4]) ).
tff(f146,plain,
~ it(lift(u,zero_zero(nat))),
inference(cnf_transformation,[],[f138]) ).
tff(f147,plain,
! [X0: nat,X1: dB] :
( it(lift(X1,X0))
| ~ it(X1) ),
inference(cnf_transformation,[],[f139]) ).
tff(f157,plain,
it(u),
inference(cnf_transformation,[],[f3]) ).
tff(f160,plain,
~ it(u),
inference(resolution,[],[f147,f146]) ).
tff(f161,plain,
$false,
inference(forward_subsumption_resolution,[],[f160,f157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL792_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 % Computer : n011.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 27 16:51:15 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/1.50 % (2616376)Detected formulas, will run a generic FOF schedule.
% 0.17/1.50 % (2616463)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1151902762:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.17/1.50 % (2616463)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.17/1.50 % (2616464)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3219851994:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.17/1.50 % (2616461)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1593627717:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.17/1.50 % (2616465)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1599423812:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.17/1.50 % (2616466)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3596592875:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.17/1.50 % (2616467)dis-21_1_sil=8000:lcm=predicate:random_seed=2548068411:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.17/1.50 % (2616464)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.17/1.50 % (2616465)First to succeed.
% 0.17/1.50 % (2616464)Also succeeded, but the first one will report.
% 0.17/1.50 % (2616462)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2650394009:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.17/1.50 % (2616465)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2616376"
% 0.17/1.50 % (2616467)Also succeeded, but the first one will report.
% 0.17/1.50 % (2616466)Also succeeded, but the first one will report.
% 0.17/1.50 % Exception at run slice level
% 0.17/1.50 User error: GNN currently only supports monomorphic FOL.
% 0.17/1.50 % (2616465)Refutation found. Thanks to Tanya!
% 0.17/1.50 % SZS status Theorem for theBenchmark
% 0.17/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.50 % (2616465)------------------------------
% 0.17/1.50 % (2616465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (2616465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (2616465)CaDiCaL version: 2.1.3
% 0.17/1.50 % (2616465)Termination reason: Refutation
% 0.17/1.50 % (2616465)Time elapsed: 0.002 s
% 0.17/1.50 % (2616465)Peak memory usage: 88 MB
% 0.17/1.50 % (2616465)Instructions burned: 1 (million)
% 0.17/1.50 % (2616465)------------------------------
% 0.17/1.50 % (2616465)------------------------------
% 0.17/1.50 % (2616376)Success in time 0.44 s
% 0.17/1.50 % Vampire exiting
%------------------------------------------------------------------------------