%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP129^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 : Wed Sep 30 08:08:28 AM UTC 2026
% Result : Theorem 0.22s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 25
% Syntax : Number of formulae : 124 ( 46 unt; 0 typ; 10 def)
% Number of atoms : 262 ( 118 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 915 ( 118 ~; 117 |; 4 &; 659 @)
% ( 10 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 58 ( 56 usr; 19 con; 0-4 aty)
% Number of variables : 75 ( 0 sgn 75 !; 0 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(type_def_6,type,
int: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
gbinomial_int: int > nat > int ).
thf(func_def_1,type,
gbinomial_nat: nat > nat > nat ).
thf(func_def_2,type,
one_one_int: int ).
thf(func_def_3,type,
one_one_nat: nat ).
thf(func_def_4,type,
plus_plus_int: int > int > int ).
thf(func_def_5,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_6,type,
times_times_int: int > int > int ).
thf(func_def_7,type,
times_times_nat: nat > nat > nat ).
thf(func_def_8,type,
zero_zero_int: int ).
thf(func_def_9,type,
zero_zero_nat: nat ).
thf(func_def_10,type,
nO_MATCH_int_int: int > int > $o ).
thf(func_def_11,type,
nO_MATCH_int_nat: int > nat > $o ).
thf(func_def_12,type,
nO_MATCH_nat_int: nat > int > $o ).
thf(func_def_13,type,
nO_MATCH_nat_nat: nat > nat > $o ).
thf(func_def_14,type,
if_nat: $o > nat > nat > nat ).
thf(func_def_15,type,
suc: nat > nat ).
thf(func_def_16,type,
semiri2019852685at_int: nat > int ).
thf(func_def_17,type,
semiri1382578993at_nat: nat > nat ).
thf(func_def_18,type,
nthRoo1352626670d_root: nat > nat > $o ).
thf(func_def_19,type,
power_power_int: int > nat > int ).
thf(func_def_20,type,
power_power_nat: nat > nat > nat ).
thf(func_def_21,type,
divide_divide_int: int > int > int ).
thf(func_def_22,type,
divide_divide_nat: nat > nat > nat ).
thf(func_def_23,type,
n: int ).
thf(func_def_24,type,
p: nat ).
thf(func_def_25,type,
pm: nat ).
thf(func_def_26,type,
x: int ).
thf(func_def_28,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_29,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_30,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_31,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_34,type,
sK0: nat > nat ).
thf(func_def_35,type,
sK1: ( nat > $o ) > nat ).
thf(func_def_36,type,
sK2: nat > nat ).
thf(func_def_37,type,
sK3: ( nat > $o ) > nat ).
thf(func_def_38,type,
sK4: ( nat > $o ) > nat ).
thf(func_def_39,type,
sK5: ( nat > nat > $o ) > nat ).
thf(func_def_40,type,
sK6: ( nat > nat > $o ) > nat ).
thf(func_def_41,type,
sK7: ( nat > nat > $o ) > nat ).
thf(func_def_42,type,
sK8: ( nat > nat > $o ) > nat ).
thf(func_def_43,type,
vNOT: $o > $o ).
thf(func_def_45,type,
inv_semiri2019852685at_int_10: int > nat ).
thf(func_def_46,type,
inv_suc_11: nat > nat ).
thf(func_def_47,type,
inv_plus_plus_int_12: int > int > int ).
thf(func_def_48,type,
inv_plus_plus_int_13: int > int > int ).
thf(f14,axiom,
! [X1: nat,X0: int] :
( ( power_power_int @ X0 @ ( suc @ X1 ) )
= ( times_times_int @ X0 @ ( power_power_int @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_power__Suc) ).
thf(f42,axiom,
! [X1: nat,X0: int] :
( ( times_times_int @ ( power_power_int @ X0 @ X1 ) @ X0 )
= ( times_times_int @ X0 @ ( power_power_int @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_power__commutes) ).
thf(f48,axiom,
! [X1: nat,X0: int] :
( ( power_power_int @ X0 @ ( suc @ X1 ) )
= ( times_times_int @ ( power_power_int @ X0 @ X1 ) @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_power__Suc2) ).
thf(f110,axiom,
! [X0: int] :
( ( plus_plus_int @ x @ ( times_times_int @ x @ X0 ) )
= ( times_times_int @ x @ ( plus_plus_int @ one_one_int @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_109__092_060open_062_092_060And_062n_O_Ax_A_L_Ax_A_K_An_A_061_Ax_A_K_A_I1_A_L_An_J_092_060close_062) ).
thf(f123,axiom,
( ( semiri2019852685at_int @ one_one_nat )
= one_one_int ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_122_of__nat__1) ).
thf(f125,axiom,
! [X0: nat] :
( ( semiri2019852685at_int @ ( suc @ X0 ) )
= ( plus_plus_int @ one_one_int @ ( semiri2019852685at_int @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_124_of__nat__Suc) ).
thf(f164,axiom,
! [X0: int] :
( ( plus_plus_int @ zero_zero_int @ X0 )
= X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_163_add_Oleft__neutral) ).
thf(f181,axiom,
! [X0: int] :
( ( divide_divide_int @ zero_zero_int @ X0 )
= zero_zero_int ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_bits__div__0) ).
thf(f220,axiom,
! [X2: int,X1: int,X0: int] :
( ( ( X0 = zero_zero_int )
=> ( ( divide_divide_int @ ( times_times_int @ X0 @ X1 ) @ ( times_times_int @ X0 @ X2 ) )
= zero_zero_int ) )
& ( ( X0 != zero_zero_int )
=> ( ( divide_divide_int @ ( times_times_int @ X0 @ X1 ) @ ( times_times_int @ X0 @ X2 ) )
= ( divide_divide_int @ X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_div__mult__mult1__if) ).
thf(f224,axiom,
! [X0: int,X1: int] :
( ( X0 != zero_zero_int )
=> ( ( divide_divide_int @ ( times_times_int @ X1 @ X0 ) @ X0 )
= X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_223_nonzero__mult__div__cancel__right) ).
thf(f226,axiom,
! [X0: int] :
( ( X0 != zero_zero_int )
=> ( ( divide_divide_int @ X0 @ X0 )
= one_one_int ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_225_div__self) ).
thf(f240,axiom,
( one_one_nat
= ( suc @ zero_zero_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_239_One__nat__def) ).
thf(f268,axiom,
! [X0: int,X1: nat] :
( ( X0 != zero_zero_int )
=> ( ( power_power_int @ X0 @ X1 )
!= zero_zero_int ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_267_power__not__zero) ).
thf(f300,axiom,
! [X0: nat] :
( ( semiri2019852685at_int @ ( suc @ X0 ) )
!= zero_zero_int ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_299_of__nat__neq__0) ).
thf(f313,conjecture,
( ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( suc @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) )
= x ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f314,negated_conjecture,
( ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( suc @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) )
!= x ),
inference(negated_conjecture,[status(cth)],[f313]) ).
thf(f494,plain,
! [X1: int,X0: nat] :
( ( times_times_int @ X1 @ ( power_power_int @ X1 @ X0 ) )
= ( times_times_int @ ( power_power_int @ X1 @ X0 ) @ X1 ) ),
inference(rectify,[],[f42]) ).
thf(f505,plain,
! [X1: int,X0: nat] :
( ( times_times_int @ X1 @ ( power_power_int @ X1 @ X0 ) )
= ( power_power_int @ X1 @ ( suc @ X0 ) ) ),
inference(rectify,[],[f14]) ).
thf(f517,plain,
! [X2: int,X1: int,X0: int] :
( ( ( zero_zero_int = X2 )
=> ( zero_zero_int
= ( divide_divide_int @ ( times_times_int @ X2 @ X1 ) @ ( times_times_int @ X2 @ X0 ) ) ) )
& ( ( zero_zero_int != X2 )
=> ( ( divide_divide_int @ X1 @ X0 )
= ( divide_divide_int @ ( times_times_int @ X2 @ X1 ) @ ( times_times_int @ X2 @ X0 ) ) ) ) ),
inference(rectify,[],[f220]) ).
thf(f548,plain,
! [X1: int,X0: nat] :
( ( times_times_int @ ( power_power_int @ X1 @ X0 ) @ X1 )
= ( power_power_int @ X1 @ ( suc @ X0 ) ) ),
inference(rectify,[],[f48]) ).
thf(f551,plain,
( x
!= ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( suc @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) ),
inference(flattening,[],[f314]) ).
thf(f567,plain,
! [X0: int] :
( ( zero_zero_int = X0 )
| ( ( divide_divide_int @ X0 @ X0 )
= one_one_int ) ),
inference(ennf_transformation,[],[f226]) ).
thf(f578,plain,
! [X0: int,X1: nat] :
( ( zero_zero_int = X0 )
| ( ( power_power_int @ X0 @ X1 )
!= zero_zero_int ) ),
inference(ennf_transformation,[],[f268]) ).
thf(f626,plain,
! [X2: int,X1: int,X0: int] :
( ( ( zero_zero_int = X2 )
| ( ( divide_divide_int @ X1 @ X0 )
= ( divide_divide_int @ ( times_times_int @ X2 @ X1 ) @ ( times_times_int @ X2 @ X0 ) ) ) )
& ( ( zero_zero_int != X2 )
| ( zero_zero_int
= ( divide_divide_int @ ( times_times_int @ X2 @ X1 ) @ ( times_times_int @ X2 @ X0 ) ) ) ) ),
inference(ennf_transformation,[],[f517]) ).
thf(f647,plain,
! [X0: int,X1: int] :
( ( zero_zero_int = X0 )
| ( ( divide_divide_int @ ( times_times_int @ X1 @ X0 ) @ X0 )
= X1 ) ),
inference(ennf_transformation,[],[f224]) ).
thf(f674,plain,
! [X0: int,X1: nat] :
( ( times_times_int @ X0 @ ( power_power_int @ X0 @ X1 ) )
= ( times_times_int @ ( power_power_int @ X0 @ X1 ) @ X0 ) ),
inference(rectify,[],[f494]) ).
thf(f683,plain,
! [X0: int,X1: int,X2: int] :
( ( ( zero_zero_int = X0 )
| ( ( divide_divide_int @ ( times_times_int @ X0 @ X1 ) @ ( times_times_int @ X0 @ X2 ) )
= ( divide_divide_int @ X1 @ X2 ) ) )
& ( ( zero_zero_int != X0 )
| ( zero_zero_int
= ( divide_divide_int @ ( times_times_int @ X0 @ X1 ) @ ( times_times_int @ X0 @ X2 ) ) ) ) ),
inference(rectify,[],[f626]) ).
thf(f702,plain,
! [X0: int,X1: nat] :
( ( power_power_int @ X0 @ ( suc @ X1 ) )
= ( times_times_int @ ( power_power_int @ X0 @ X1 ) @ X0 ) ),
inference(rectify,[],[f548]) ).
thf(f871,plain,
! [X0: int,X1: nat] :
( ( power_power_int @ X0 @ ( suc @ X1 ) )
= ( times_times_int @ X0 @ ( power_power_int @ X0 @ X1 ) ) ),
inference(rectify,[],[f505]) ).
thf(f902,plain,
! [X0: int] :
( ( plus_plus_int @ zero_zero_int @ X0 )
= X0 ),
inference(cnf_transformation,[],[f164]) ).
thf(f934,plain,
! [X0: int] :
( zero_zero_int
= ( divide_divide_int @ zero_zero_int @ X0 ) ),
inference(cnf_transformation,[],[f181]) ).
thf(f937,plain,
! [X0: int,X1: nat] :
( ( times_times_int @ X0 @ ( power_power_int @ X0 @ X1 ) )
= ( times_times_int @ ( power_power_int @ X0 @ X1 ) @ X0 ) ),
inference(cnf_transformation,[],[f674]) ).
thf(f951,plain,
( one_one_nat
= ( suc @ zero_zero_nat ) ),
inference(cnf_transformation,[],[f240]) ).
thf(f953,plain,
! [X2: int,X0: int,X1: int] :
( ( zero_zero_int != X0 )
| ( zero_zero_int
= ( divide_divide_int @ ( times_times_int @ X0 @ X1 ) @ ( times_times_int @ X0 @ X2 ) ) ) ),
inference(cnf_transformation,[],[f683]) ).
thf(f956,plain,
! [X0: nat] :
( ( semiri2019852685at_int @ ( suc @ X0 ) )
!= zero_zero_int ),
inference(cnf_transformation,[],[f300]) ).
thf(f986,plain,
! [X0: nat] :
( ( semiri2019852685at_int @ ( suc @ X0 ) )
= ( plus_plus_int @ one_one_int @ ( semiri2019852685at_int @ X0 ) ) ),
inference(cnf_transformation,[],[f125]) ).
thf(f997,plain,
! [X0: int,X1: nat] :
( ( power_power_int @ X0 @ ( suc @ X1 ) )
= ( times_times_int @ ( power_power_int @ X0 @ X1 ) @ X0 ) ),
inference(cnf_transformation,[],[f702]) ).
thf(f1022,plain,
! [X0: int,X1: nat] :
( ( ( power_power_int @ X0 @ X1 )
!= zero_zero_int )
| ( zero_zero_int = X0 ) ),
inference(cnf_transformation,[],[f578]) ).
thf(f1068,plain,
! [X0: int] :
( ( one_one_int
= ( divide_divide_int @ X0 @ X0 ) )
| ( zero_zero_int = X0 ) ),
inference(cnf_transformation,[],[f567]) ).
thf(f1079,plain,
( x
!= ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( suc @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) ),
inference(cnf_transformation,[],[f551]) ).
thf(f1093,plain,
( one_one_int
= ( semiri2019852685at_int @ one_one_nat ) ),
inference(cnf_transformation,[],[f123]) ).
thf(f1144,plain,
! [X0: int,X1: int] :
( ( ( divide_divide_int @ ( times_times_int @ X1 @ X0 ) @ X0 )
= X1 )
| ( zero_zero_int = X0 ) ),
inference(cnf_transformation,[],[f647]) ).
thf(f1189,plain,
! [X0: int] :
( ( plus_plus_int @ x @ ( times_times_int @ x @ X0 ) )
= ( times_times_int @ x @ ( plus_plus_int @ one_one_int @ X0 ) ) ),
inference(cnf_transformation,[],[f110]) ).
thf(f1293,plain,
! [X0: int,X1: nat] :
( ( power_power_int @ X0 @ ( suc @ X1 ) )
= ( times_times_int @ X0 @ ( power_power_int @ X0 @ X1 ) ) ),
inference(cnf_transformation,[],[f871]) ).
thf(f1339,plain,
! [X2: int,X1: int] :
( zero_zero_int
= ( divide_divide_int @ ( times_times_int @ zero_zero_int @ X1 ) @ ( times_times_int @ zero_zero_int @ X2 ) ) ),
inference(equality_resolution,[],[f953]) ).
thf(f1493,definition,
( spl9_8
<=> ( one_one_int
= ( semiri2019852685at_int @ one_one_nat ) ) ),
introduced(definition,[new_symbols(definition,[spl9_8])],[avatar_definition]) ).
thf(f1495,plain,
( ( one_one_int
= ( semiri2019852685at_int @ one_one_nat ) )
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f1493]) ).
thf(f1496,plain,
spl9_8,
inference(avatar_split_clause,[],[f1093,f1493]) ).
thf(f1518,definition,
( spl9_13
<=> ( x
= ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( suc @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl9_13])],[avatar_definition]) ).
thf(f1520,plain,
( ( x
!= ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( suc @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) )
| spl9_13 ),
inference(avatar_component_clause,[],[f1518]) ).
thf(f1521,plain,
~ spl9_13,
inference(avatar_split_clause,[],[f1079,f1518]) ).
thf(f1553,definition,
( spl9_20
<=> ( one_one_nat
= ( suc @ zero_zero_nat ) ) ),
introduced(definition,[new_symbols(definition,[spl9_20])],[avatar_definition]) ).
thf(f1555,plain,
( ( one_one_nat
= ( suc @ zero_zero_nat ) )
| ~ spl9_20 ),
inference(avatar_component_clause,[],[f1553]) ).
thf(f1556,plain,
spl9_20,
inference(avatar_split_clause,[],[f951,f1553]) ).
thf(f1682,plain,
( ! [X0: int] :
( ( ( semiri2019852685at_int @ one_one_nat )
= ( divide_divide_int @ X0 @ X0 ) )
| ( zero_zero_int = X0 ) )
| ~ spl9_8 ),
inference(forward_demodulation,[],[f1068,f1495]) ).
thf(f1683,plain,
( ! [X0: int] :
( ( ( divide_divide_int @ X0 @ X0 )
= ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) )
| ( zero_zero_int = X0 ) )
| ~ spl9_8
| ~ spl9_20 ),
inference(forward_demodulation,[],[f1682,f1555]) ).
thf(f1700,plain,
( ! [X0: nat] :
( ( semiri2019852685at_int @ ( suc @ X0 ) )
= ( plus_plus_int @ ( semiri2019852685at_int @ one_one_nat ) @ ( semiri2019852685at_int @ X0 ) ) )
| ~ spl9_8 ),
inference(forward_demodulation,[],[f986,f1495]) ).
thf(f1701,plain,
( ! [X0: nat] :
( ( semiri2019852685at_int @ ( suc @ X0 ) )
= ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ X0 ) ) )
| ~ spl9_8
| ~ spl9_20 ),
inference(forward_demodulation,[],[f1700,f1555]) ).
thf(f1873,plain,
( ! [X0: int] :
( ( zero_zero_int
= ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) )
| ( zero_zero_int
= ( times_times_int @ zero_zero_int @ X0 ) ) )
| ~ spl9_8
| ~ spl9_20 ),
inference(superposition,[],[f1339,f1683]) ).
thf(f1875,plain,
( ! [X0: int] :
( zero_zero_int
= ( times_times_int @ zero_zero_int @ X0 ) )
| ~ spl9_8
| ~ spl9_20 ),
inference(forward_subsumption_resolution,[],[f1873,f956]) ).
thf(f2003,plain,
( ! [X0: nat] :
( zero_zero_int
!= ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ X0 ) ) )
| ~ spl9_8
| ~ spl9_20 ),
inference(superposition,[],[f956,f1701]) ).
thf(f2042,plain,
( ( x
!= ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( times_times_int @ ( power_power_int @ x @ pm ) @ x ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) )
| spl9_13 ),
inference(superposition,[],[f1520,f997]) ).
thf(f2050,definition,
( spl9_43
<=> ( x
= ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( times_times_int @ ( power_power_int @ x @ pm ) @ x ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl9_43])],[avatar_definition]) ).
thf(f2052,plain,
( ( x
!= ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( times_times_int @ ( power_power_int @ x @ pm ) @ x ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) )
| spl9_43 ),
inference(avatar_component_clause,[],[f2050]) ).
thf(f2053,plain,
( ~ spl9_43
| spl9_13 ),
inference(avatar_split_clause,[],[f2042,f1518,f2050]) ).
thf(f2067,definition,
( spl9_45
<=> ( x
= ( divide_divide_int @ ( plus_plus_int @ x @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl9_45])],[avatar_definition]) ).
thf(f2069,plain,
( ( x
!= ( divide_divide_int @ ( plus_plus_int @ x @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) )
| spl9_45 ),
inference(avatar_component_clause,[],[f2067]) ).
thf(f2071,definition,
( spl9_46
<=> ( zero_zero_int
= ( power_power_int @ x @ pm ) ) ),
introduced(definition,[new_symbols(definition,[spl9_46])],[avatar_definition]) ).
thf(f2073,plain,
( ( zero_zero_int
= ( power_power_int @ x @ pm ) )
| ~ spl9_46 ),
inference(avatar_component_clause,[],[f2071]) ).
thf(f2162,plain,
( ( x
!= ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( times_times_int @ x @ ( power_power_int @ x @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) )
| spl9_13 ),
inference(superposition,[],[f1520,f1293]) ).
thf(f2169,definition,
( spl9_50
<=> ( x
= ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( times_times_int @ x @ ( power_power_int @ x @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl9_50])],[avatar_definition]) ).
thf(f2171,plain,
( ( x
!= ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( times_times_int @ x @ ( power_power_int @ x @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) )
| spl9_50 ),
inference(avatar_component_clause,[],[f2169]) ).
thf(f2172,plain,
( ~ spl9_50
| spl9_13 ),
inference(avatar_split_clause,[],[f2162,f1518,f2169]) ).
thf(f2196,plain,
( ( zero_zero_int
= ( power_power_int @ x @ pm ) )
| ( x
!= ( divide_divide_int @ ( plus_plus_int @ x @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) )
| spl9_50 ),
inference(superposition,[],[f2171,f1144]) ).
thf(f2197,plain,
( ~ spl9_45
| spl9_46
| spl9_50 ),
inference(avatar_split_clause,[],[f2196,f2169,f2071,f2067]) ).
thf(f2360,plain,
( ! [X0: int] :
( ( plus_plus_int @ x @ ( times_times_int @ x @ X0 ) )
= ( times_times_int @ x @ ( plus_plus_int @ ( semiri2019852685at_int @ one_one_nat ) @ X0 ) ) )
| ~ spl9_8 ),
inference(forward_demodulation,[],[f1189,f1495]) ).
thf(f2361,plain,
( ! [X0: int] :
( ( plus_plus_int @ x @ ( times_times_int @ x @ X0 ) )
= ( times_times_int @ x @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ X0 ) ) )
| ~ spl9_8
| ~ spl9_20 ),
inference(forward_demodulation,[],[f2360,f1555]) ).
thf(f2869,plain,
( ( x
!= ( divide_divide_int @ ( times_times_int @ x @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) )
| ~ spl9_8
| ~ spl9_20
| spl9_45 ),
inference(superposition,[],[f2069,f2361]) ).
thf(f2883,definition,
( spl9_55
<=> ( x = zero_zero_int ) ),
introduced(definition,[new_symbols(definition,[spl9_55])],[avatar_definition]) ).
thf(f2884,plain,
( ( x != zero_zero_int )
| spl9_55 ),
inference(avatar_component_clause,[],[f2883]) ).
thf(f2885,plain,
( ( x = zero_zero_int )
| ~ spl9_55 ),
inference(avatar_component_clause,[],[f2883]) ).
thf(f2893,definition,
( spl9_57
<=> ( x
= ( divide_divide_int @ ( times_times_int @ x @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl9_57])],[avatar_definition]) ).
thf(f2895,plain,
( ( x
!= ( divide_divide_int @ ( times_times_int @ x @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) )
| spl9_57 ),
inference(avatar_component_clause,[],[f2893]) ).
thf(f2896,plain,
( ~ spl9_57
| ~ spl9_8
| ~ spl9_20
| spl9_45 ),
inference(avatar_split_clause,[],[f2869,f2067,f1553,f1493,f2893]) ).
thf(f2918,plain,
( ( zero_zero_int
!= ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( times_times_int @ ( power_power_int @ zero_zero_int @ pm ) @ zero_zero_int ) @ ( power_power_int @ zero_zero_int @ pm ) ) @ ( times_times_int @ zero_zero_int @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) )
| spl9_43
| ~ spl9_55 ),
inference(superposition,[],[f2052,f2885]) ).
thf(f2926,plain,
( ( zero_zero_int
!= ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( times_times_int @ zero_zero_int @ ( power_power_int @ zero_zero_int @ pm ) ) @ ( power_power_int @ zero_zero_int @ pm ) ) @ ( times_times_int @ zero_zero_int @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) )
| spl9_43
| ~ spl9_55 ),
inference(forward_demodulation,[],[f2918,f937]) ).
thf(f2932,plain,
( ( zero_zero_int
!= ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ zero_zero_int @ ( power_power_int @ zero_zero_int @ pm ) ) @ ( times_times_int @ zero_zero_int @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) )
| ~ spl9_8
| ~ spl9_20
| spl9_43
| ~ spl9_55 ),
inference(forward_demodulation,[],[f2926,f1875]) ).
thf(f2938,plain,
( ( zero_zero_int
!= ( divide_divide_int @ ( plus_plus_int @ zero_zero_int @ ( times_times_int @ zero_zero_int @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) )
| ~ spl9_8
| ~ spl9_20
| spl9_43
| ~ spl9_55 ),
inference(forward_demodulation,[],[f2932,f934]) ).
thf(f2943,plain,
( ( zero_zero_int
!= ( divide_divide_int @ ( times_times_int @ zero_zero_int @ ( semiri2019852685at_int @ pm ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) )
| ~ spl9_8
| ~ spl9_20
| spl9_43
| ~ spl9_55 ),
inference(forward_demodulation,[],[f2938,f902]) ).
thf(f2947,plain,
( ( zero_zero_int
!= ( divide_divide_int @ zero_zero_int @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) )
| ~ spl9_8
| ~ spl9_20
| spl9_43
| ~ spl9_55 ),
inference(forward_demodulation,[],[f2943,f1875]) ).
thf(f2950,plain,
( $false
| ~ spl9_8
| ~ spl9_20
| spl9_43
| ~ spl9_55 ),
inference(forward_subsumption_resolution,[],[f2947,f934]) ).
thf(f2951,plain,
( ~ spl9_8
| ~ spl9_20
| spl9_43
| ~ spl9_55 ),
inference(avatar_contradiction_clause,[],[f2950]) ).
thf(f2987,plain,
( ( x
!= ( divide_divide_int @ ( times_times_int @ x @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) ) @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) ) )
| ~ spl9_8
| ~ spl9_20
| spl9_57 ),
inference(superposition,[],[f2895,f1701]) ).
thf(f2990,definition,
( spl9_61
<=> ( x
= ( divide_divide_int @ ( times_times_int @ x @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) ) @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl9_61])],[avatar_definition]) ).
thf(f2992,plain,
( ( x
!= ( divide_divide_int @ ( times_times_int @ x @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) ) @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) ) )
| spl9_61 ),
inference(avatar_component_clause,[],[f2990]) ).
thf(f2993,plain,
( ~ spl9_61
| ~ spl9_8
| ~ spl9_20
| spl9_57 ),
inference(avatar_split_clause,[],[f2987,f2893,f1553,f1493,f2990]) ).
thf(f3113,plain,
( ( zero_zero_int
= ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) )
| ( x != x )
| spl9_61 ),
inference(superposition,[],[f2992,f1144]) ).
thf(f3114,plain,
( ( zero_zero_int
= ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) )
| spl9_61 ),
inference(trivial_inequality_removal,[],[f3113]) ).
thf(f3115,plain,
( $false
| ~ spl9_8
| ~ spl9_20
| spl9_61 ),
inference(forward_subsumption_resolution,[],[f3114,f2003]) ).
thf(f3116,plain,
( ~ spl9_8
| ~ spl9_20
| spl9_61 ),
inference(avatar_contradiction_clause,[],[f3115]) ).
thf(f3125,plain,
( ( zero_zero_int != zero_zero_int )
| ( x = zero_zero_int )
| ~ spl9_46 ),
inference(superposition,[],[f1022,f2073]) ).
thf(f3126,plain,
( ( x = zero_zero_int )
| ~ spl9_46 ),
inference(trivial_inequality_removal,[],[f3125]) ).
thf(f3131,plain,
( $false
| ~ spl9_46
| spl9_55 ),
inference(forward_subsumption_resolution,[],[f3126,f2884]) ).
thf(f3132,plain,
( ~ spl9_46
| spl9_55 ),
inference(avatar_contradiction_clause,[],[f3131]) ).
cnf(s10,plain,
spl9_8,
inference(sat_conversion,[],[f1496]) ).
cnf(s16,plain,
~ spl9_13,
inference(sat_conversion,[],[f1521]) ).
cnf(s25,plain,
spl9_20,
inference(sat_conversion,[],[f1556]) ).
cnf(s62,plain,
( spl9_13
| ~ spl9_43 ),
inference(sat_conversion,[],[f2053]) ).
cnf(s71,plain,
( spl9_13
| ~ spl9_50 ),
inference(sat_conversion,[],[f2172]) ).
cnf(s75,plain,
( ~ spl9_45
| spl9_46
| spl9_50 ),
inference(sat_conversion,[],[f2197]) ).
cnf(s86,plain,
( ~ spl9_8
| ~ spl9_20
| spl9_45
| ~ spl9_57 ),
inference(sat_conversion,[],[f2896]) ).
cnf(s95,plain,
( ~ spl9_8
| ~ spl9_20
| spl9_43
| ~ spl9_55 ),
inference(sat_conversion,[],[f2951]) ).
cnf(s96,plain,
( ~ spl9_8
| ~ spl9_20
| spl9_57
| ~ spl9_61 ),
inference(sat_conversion,[],[f2993]) ).
cnf(s99,plain,
( ~ spl9_8
| ~ spl9_20
| spl9_61 ),
inference(sat_conversion,[],[f3116]) ).
cnf(s102,plain,
( ~ spl9_46
| spl9_55 ),
inference(sat_conversion,[],[f3132]) ).
cnf(s112,plain,
~ spl9_50,
inference(rat,[],[s71,s16]) ).
cnf(s113,plain,
~ spl9_43,
inference(rat,[],[s62,s16]) ).
cnf(s118,plain,
spl9_61,
inference(rat,[],[s99,s25,s10]) ).
cnf(s120,plain,
spl9_57,
inference(rat,[],[s96,s118,s25,s10]) ).
cnf(s121,plain,
~ spl9_55,
inference(rat,[],[s95,s113,s25,s10]) ).
cnf(s123,plain,
spl9_45,
inference(rat,[],[s86,s120,s25,s10]) ).
cnf(s132,plain,
~ spl9_46,
inference(rat,[],[s102,s121]) ).
cnf(s135,plain,
$false,
inference(rat,[],[s75,s112,s132,s123]) ).
thf(f3143,plain,
$false,
inference(avatar_sat_refutation,[],[s135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP129^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.17 % Computer : n008.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Sep 29 19:58:39 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 Running higher-order theorem proving
% 0.11/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.38 % (3658749)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.38 % (3658757)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2383186398:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.22/0.38 % (3658755)lrs+10_16_si=on:nwc=1.5:random_seed=2582135834:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.38 % (3658756)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3181860176:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.38 % (3658754)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2216846714:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.38 % (3658758)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2082146256:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.38 % (3658756)Instruction limit reached!
% 0.22/0.38 % (3658756)------------------------------
% 0.22/0.38 % (3658756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.38 % (3658756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.38 % (3658756)CaDiCaL version: 2.1.3
% 0.22/0.38 % (3658756)Termination reason: Instruction limit
% 0.22/0.38 % (3658756)Termination phase: shuffling
% 0.22/0.38 % (3658756)Time elapsed: 0.002 s
% 0.22/0.38 % (3658756)Peak memory usage: 10 MB
% 0.22/0.38 % (3658756)Instructions burned: 4 (million)
% 0.22/0.38 % (3658755)Instruction limit reached!
% 0.22/0.38 % (3658755)------------------------------
% 0.22/0.38 % (3658755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.38 % (3658755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.38 % (3658755)CaDiCaL version: 2.1.3
% 0.22/0.38 % (3658755)Termination reason: Instruction limit
% 0.22/0.38 % (3658755)Termination phase: Preprocessing 1
% 0.22/0.38 % (3658755)Time elapsed: 0.008 s
% 0.22/0.38 % (3658755)Peak memory usage: 10 MB
% 0.22/0.38 % (3658755)Instructions burned: 19 (million)
% 0.22/0.38 % (3658758)Instruction limit reached!
% 0.22/0.38 % (3658758)------------------------------
% 0.22/0.38 % (3658758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.38 % (3658758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.38 % (3658758)CaDiCaL version: 2.1.3
% 0.22/0.38 % (3658758)Termination reason: Instruction limit
% 0.22/0.38 % (3658758)Termination phase: Property scanning
% 0.22/0.38 % (3658758)Time elapsed: 0.011 s
% 0.22/0.38 % (3658758)Peak memory usage: 11 MB
% 0.22/0.38 % (3658758)Instructions burned: 25 (million)
% 0.22/0.38 % (3658760)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.38 % (3658760)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.22/0.38 % (3658759)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=771235096:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.38 % (3658760)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=363582602:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.38 % (3658766)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3496481517:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.38 % (3658766)Instruction limit reached!
% 0.22/0.38 % (3658766)------------------------------
% 0.22/0.38 % (3658766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.38 % (3658766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.38 % (3658766)CaDiCaL version: 2.1.3
% 0.22/0.38 % (3658766)Termination reason: Instruction limit
% 0.22/0.38 % (3658766)Termination phase: shuffling
% 0.22/0.38 % (3658766)Time elapsed: 0.003 s
% 0.22/0.38 % (3658766)Peak memory usage: 10 MB
% 0.22/0.38 % (3658766)Instructions burned: 5 (million)
% 0.22/0.38 % (3658768)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.22/0.38 % (3658767)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3917063752:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.22/0.38 % (3658767)Instruction limit reached!
% 0.22/0.38 % (3658767)------------------------------
% 0.22/0.38 % (3658767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.38 % (3658767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.38 % (3658767)CaDiCaL version: 2.1.3
% 0.22/0.38 % (3658767)Termination reason: Instruction limit
% 0.22/0.38 % (3658767)Termination phase: shuffling
% 0.22/0.38 % (3658767)Time elapsed: 0.003 s
% 0.22/0.38 % (3658767)Peak memory usage: 10 MB
% 0.22/0.38 % (3658767)Instructions burned: 6 (million)
% 0.22/0.38 % (3658768)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4166217976:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.22/0.38 % (3658768)Instruction limit reached!
% 0.22/0.38 % (3658768)------------------------------
% 0.22/0.38 % (3658768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.38 % (3658768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.38 % (3658768)CaDiCaL version: 2.1.3
% 0.22/0.38 % (3658768)Termination reason: Instruction limit
% 0.22/0.38 % (3658768)Termination phase: shuffling
% 0.22/0.38 % (3658768)Time elapsed: 0.004 s
% 0.22/0.38 % (3658768)Peak memory usage: 10 MB
% 0.22/0.38 % (3658768)Instructions burned: 9 (million)
% 0.22/0.38 % (3658775)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.22/0.38 % (3658775)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.22/0.38 % (3658775)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2189051533:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.22/0.38 % (3658776)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=478962270:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.22/0.38 % (3658757) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3658749-3658757"...
% 0.22/0.38 % (3658757)...printing done.
% 0.22/0.38 % (3658757)Refutation found. Thanks to Tanya!
% 0.22/0.38 % SZS status Theorem for theBenchmark
% 0.22/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.38 % (3658757)------------------------------
% 0.22/0.38 % (3658757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.38 % (3658757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.38 % (3658757)CaDiCaL version: 2.1.3
% 0.22/0.38 % (3658757)Termination reason: Refutation
% 0.22/0.38 % (3658757)Time elapsed: 0.068 s
% 0.22/0.38 % (3658757)Peak memory usage: 15 MB
% 0.22/0.38 % (3658757)Instructions burned: 242 (million)
% 0.22/0.38 % (3658749)Success in time 0.121 s
% 0.22/0.38 % Vampire exiting
%------------------------------------------------------------------------------