%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n003.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 0.17s 0.50s
% 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 : 18 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 47 ( 47 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(func_def_23,type,
sK2: char1 > nibble ).
tff(func_def_24,type,
sK3: char1 > nibble ).
tff(func_def_25,type,
sK4: fun(int,bool) > nat ).
tff(func_def_26,type,
sK5: fun(int,bool) > int ).
tff(func_def_27,type,
sK6: fun(int,bool) > int ).
tff(func_def_28,type,
sK7: fun(int,bool) > nat ).
tff(func_def_29,type,
sK8: int > nat ).
tff(func_def_30,type,
sK9: int > nat ).
tff(func_def_31,type,
sK10:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_32,type,
sK11: int > nat ).
tff(func_def_33,type,
sK12:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_34,type,
sK13:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_35,type,
sK14:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_36,type,
sK15:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_37,type,
sK16:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_38,type,
sK17:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_39,type,
sK18:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_40,type,
sK19:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_41,type,
sK20:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_42,type,
sK21: fun(nat,bool) > nat ).
tff(func_def_43,type,
sK22: fun(nat,bool) > int ).
tff(func_def_44,type,
sK23: fun(nat,bool) > int ).
tff(func_def_45,type,
sK24: fun(nat,bool) > nat ).
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(pred_def_16,type,
sP0: ( int * bool * bool ) > $o ).
tff(pred_def_17,type,
sP1: ( bool * int * 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(f140,plain,
~ it(lift(u,zero_zero(nat))),
inference(flattening,[],[f137]) ).
tff(f141,plain,
! [X0: nat,X1: dB] :
( it(lift(X1,X0))
| ~ it(X1) ),
inference(ennf_transformation,[],[f4]) ).
tff(f278,plain,
it(u),
inference(cnf_transformation,[],[f3]) ).
tff(f279,plain,
! [X0: nat,X1: dB] :
( it(lift(X1,X0))
| ~ it(X1) ),
inference(cnf_transformation,[],[f141]) ).
tff(f464,plain,
~ it(lift(u,zero_zero(nat))),
inference(cnf_transformation,[],[f140]) ).
tff(f501,plain,
~ it(u),
inference(resolution,[],[f279,f464]) ).
tff(f502,plain,
$false,
inference(forward_subsumption_resolution,[],[f501,f278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL792_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 % Computer : n003.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8046.5625MB
% 0.13/0.42 % OS : Linux 6.8.0-71-generic
% 0.13/0.42 % CPULimit : 300
% 0.13/0.42 % WCLimit : 300
% 0.13/0.42 % DateTime : Sun Sep 27 16:52:56 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.45 Running first-order model finding
% 0.13/0.45 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
% 0.17/0.50 % (775774)Will run a generic schedule for satisfiability detection.
% 0.17/0.50 % (775781)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3246759246:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.50 % (775780)% WARNING: option uhcvi not known.
% 0.17/0.50 % (775781) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-775774-775781"...
% 0.17/0.50 % (775781)...printing done.
% 0.17/0.50 % (775781)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Theorem for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (775781)------------------------------
% 0.17/0.50 % (775781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.50 % (775781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.50 % (775781)CaDiCaL version: 2.1.3
% 0.17/0.50 % (775781)Termination reason: Refutation
% 0.17/0.50 % (775781)Time elapsed: 0.004 s
% 0.17/0.50 % (775781)Peak memory usage: 12 MB
% 0.17/0.50 % (775781)Instructions burned: 10 (million)
% 0.17/0.50 % (775774)Success in time 0.043 s
% 0.17/0.50 % Vampire exiting
%------------------------------------------------------------------------------