%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM924_30 : TPTP v9.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9idRRVNOVH true
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:48:39 PM UTC 2025
% Result : Unsatisfiable 194.10s 32.77s
% Output : Refutation 194.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 71 ( 71 unt; 0 typ; 0 def)
% Number of atoms : 71 ( 62 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 532 ( 4 ~; 0 |; 0 &; 528 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Number of types : 9 ( 8 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 9 con; 0-2 aty)
% Number of variables : 58 ( 0 ^; 58 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(bool_type,type,
bool: $tType ).
thf(fun_int_bool_type,type,
fun_int_bool: $tType ).
thf(fun_int_fun_int_bool_type,type,
fun_int_fun_int_bool: $tType ).
thf(int_type,type,
int: $tType ).
thf(fun_int_int_type,type,
fun_int_int: $tType ).
thf(fun_nat_int_type,type,
fun_nat_int: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(fun_nat_nat_type,type,
fun_nat_nat: $tType ).
thf(hBOOL_type,type,
hBOOL: bool > $o ).
thf(number_number_of_int_type,type,
number_number_of_int: int > int ).
thf(hAPP_nat_int_type,type,
hAPP_nat_int: fun_nat_int > nat > int ).
thf(pls_type,type,
pls: int ).
thf(hAPP_i1948725293t_bool_type,type,
hAPP_i1948725293t_bool: fun_int_fun_int_bool > int > fun_int_bool ).
thf(times_times_int_type,type,
times_times_int: int > fun_int_int ).
thf(t_type,type,
t: int ).
thf(power_power_int_type,type,
power_power_int: int > fun_nat_int ).
thf(zero_zero_int_type,type,
zero_zero_int: int ).
thf(ord_less_int_type,type,
ord_less_int: fun_int_fun_int_bool ).
thf(plus_plus_int_type,type,
plus_plus_int: int > fun_int_int ).
thf(one_one_nat_type,type,
one_one_nat: nat ).
thf(hAPP_int_int_type,type,
hAPP_int_int: fun_int_int > int > int ).
thf(bit1_type,type,
bit1: int > int ).
thf(number_number_of_nat_type,type,
number_number_of_nat: int > nat ).
thf(m_type,type,
m: int ).
thf(s_type,type,
s: int ).
thf(bit0_type,type,
bit0: int > int ).
thf(hAPP_int_bool_type,type,
hAPP_int_bool: fun_int_bool > int > bool ).
thf(hAPP_nat_nat_type,type,
hAPP_nat_nat: fun_nat_nat > nat > nat ).
thf(one_one_int_type,type,
one_one_int: int ).
thf(plus_plus_nat_type,type,
plus_plus_nat: nat > fun_nat_nat ).
thf(fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096,axiom,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ) @ ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ zero_zero_int ) ) ).
thf(zip_derived_cl2,plain,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ) @ ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ zero_zero_int ) ),
inference(cnf,[status(esa)],[fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096]) ).
thf(fact_172_Pls__def,axiom,
pls = zero_zero_int ).
thf(zip_derived_cl257,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_172_Pls__def]) ).
thf(zip_derived_cl257_001,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_172_Pls__def]) ).
thf(zip_derived_cl2111,plain,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ) @ ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl257,zip_derived_cl257]) ).
thf(fact_34_number__of__is__id,axiom,
! [K_1: int] :
( ( number_number_of_int @ K_1 )
= K_1 ) ).
thf(zip_derived_cl46,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_34_number__of__is__id]) ).
thf(zip_derived_cl46_002,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_34_number__of__is__id]) ).
thf(zip_derived_cl2710,plain,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ) @ ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) ) @ one_one_int ) ) @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl2111,zip_derived_cl46,zip_derived_cl46]) ).
thf(fact_160_one__is__num__one,axiom,
( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) ) ).
thf(zip_derived_cl239,plain,
( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) ),
inference(cnf,[status(esa)],[fact_160_one__is__num__one]) ).
thf(zip_derived_cl257_003,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_172_Pls__def]) ).
thf(zip_derived_cl2169,plain,
( one_one_int
= ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) ),
inference(demod,[status(thm)],[zip_derived_cl239,zip_derived_cl257]) ).
thf(zip_derived_cl46_004,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_34_number__of__is__id]) ).
thf(zip_derived_cl2733,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2169,zip_derived_cl46]) ).
thf(fact_89_mult__Bit0,axiom,
! [K_1: int,L: int] :
( ( hAPP_int_int @ ( times_times_int @ ( bit0 @ K_1 ) ) @ L )
= ( bit0 @ ( hAPP_int_int @ ( times_times_int @ K_1 ) @ L ) ) ) ).
thf(zip_derived_cl133,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( times_times_int @ ( bit0 @ X0 ) ) @ X1 )
= ( bit0 @ ( hAPP_int_int @ ( times_times_int @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_89_mult__Bit0]) ).
thf(zip_derived_cl133_005,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( times_times_int @ ( bit0 @ X0 ) ) @ X1 )
= ( bit0 @ ( hAPP_int_int @ ( times_times_int @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_89_mult__Bit0]) ).
thf(fact_92_zmult__1,axiom,
! [Z: int] :
( ( hAPP_int_int @ ( times_times_int @ one_one_int ) @ Z )
= Z ) ).
thf(zip_derived_cl137,plain,
! [X0: int] :
( ( hAPP_int_int @ ( times_times_int @ one_one_int ) @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_92_zmult__1]) ).
thf(fact_134_zadd__commute,axiom,
! [Z: int,W: int] :
( ( hAPP_int_int @ ( plus_plus_int @ Z ) @ W )
= ( hAPP_int_int @ ( plus_plus_int @ W ) @ Z ) ) ).
thf(zip_derived_cl205,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( plus_plus_int @ X1 ) @ X0 )
= ( hAPP_int_int @ ( plus_plus_int @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_134_zadd__commute]) ).
thf(fact_35_zmult__commute,axiom,
! [Z: int,W: int] :
( ( hAPP_int_int @ ( times_times_int @ Z ) @ W )
= ( hAPP_int_int @ ( times_times_int @ W ) @ Z ) ) ).
thf(zip_derived_cl47,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( times_times_int @ X1 ) @ X0 )
= ( hAPP_int_int @ ( times_times_int @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_35_zmult__commute]) ).
thf(fact_3_t,axiom,
( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ s ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ one_one_int )
= ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ) ).
thf(zip_derived_cl3,plain,
( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ s ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ one_one_int )
= ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ),
inference(cnf,[status(esa)],[fact_3_t]) ).
thf(zip_derived_cl257_006,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_172_Pls__def]) ).
thf(zip_derived_cl257_007,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_172_Pls__def]) ).
thf(zip_derived_cl2117,plain,
( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ s ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) ) @ one_one_int )
= ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl257,zip_derived_cl257]) ).
thf(fact_87_nat__1__add__1,axiom,
( ( hAPP_nat_nat @ ( plus_plus_nat @ one_one_nat ) @ one_one_nat )
= ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ).
thf(zip_derived_cl131,plain,
( ( hAPP_nat_nat @ ( plus_plus_nat @ one_one_nat ) @ one_one_nat )
= ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ),
inference(cnf,[status(esa)],[fact_87_nat__1__add__1]) ).
thf(zip_derived_cl257_008,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_172_Pls__def]) ).
thf(zip_derived_cl2200,plain,
( ( hAPP_nat_nat @ ( plus_plus_nat @ one_one_nat ) @ one_one_nat )
= ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl257]) ).
thf(zip_derived_cl2201,plain,
( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ s ) @ ( hAPP_nat_nat @ ( plus_plus_nat @ one_one_nat ) @ one_one_nat ) ) ) @ one_one_int )
= ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ),
inference(demod,[status(thm)],[zip_derived_cl2117,zip_derived_cl2200]) ).
thf(fact_203_power2__eq__square,axiom,
! [A_103: int] :
( ( hAPP_nat_int @ ( power_power_int @ A_103 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= ( hAPP_int_int @ ( times_times_int @ A_103 ) @ A_103 ) ) ).
thf(zip_derived_cl292,plain,
! [X0: int] :
( ( hAPP_nat_int @ ( power_power_int @ X0 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= ( hAPP_int_int @ ( times_times_int @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[fact_203_power2__eq__square]) ).
thf(zip_derived_cl257_009,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_172_Pls__def]) ).
thf(zip_derived_cl2733_010,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2169,zip_derived_cl46]) ).
thf(zip_derived_cl2200_011,plain,
( ( hAPP_nat_nat @ ( plus_plus_nat @ one_one_nat ) @ one_one_nat )
= ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl257]) ).
thf(zip_derived_cl2733_012,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2169,zip_derived_cl46]) ).
thf(zip_derived_cl2743,plain,
( ( hAPP_nat_nat @ ( plus_plus_nat @ one_one_nat ) @ one_one_nat )
= ( number_number_of_nat @ ( bit0 @ one_one_int ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2200,zip_derived_cl2733]) ).
thf(zip_derived_cl13443,plain,
! [X0: int] :
( ( hAPP_nat_int @ ( power_power_int @ X0 ) @ ( hAPP_nat_nat @ ( plus_plus_nat @ one_one_nat ) @ one_one_nat ) )
= ( hAPP_int_int @ ( times_times_int @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl292,zip_derived_cl257,zip_derived_cl2733,zip_derived_cl2743]) ).
thf(zip_derived_cl205_013,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( plus_plus_int @ X1 ) @ X0 )
= ( hAPP_int_int @ ( plus_plus_int @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_134_zadd__commute]) ).
thf(zip_derived_cl2733_014,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2169,zip_derived_cl46]) ).
thf(zip_derived_cl46_015,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_34_number__of__is__id]) ).
thf(zip_derived_cl133_016,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( times_times_int @ ( bit0 @ X0 ) ) @ X1 )
= ( bit0 @ ( hAPP_int_int @ ( times_times_int @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_89_mult__Bit0]) ).
thf(zip_derived_cl133_017,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( times_times_int @ ( bit0 @ X0 ) ) @ X1 )
= ( bit0 @ ( hAPP_int_int @ ( times_times_int @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_89_mult__Bit0]) ).
thf(zip_derived_cl137_018,plain,
! [X0: int] :
( ( hAPP_int_int @ ( times_times_int @ one_one_int ) @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_92_zmult__1]) ).
thf(zip_derived_cl205_019,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( plus_plus_int @ X1 ) @ X0 )
= ( hAPP_int_int @ ( plus_plus_int @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_134_zadd__commute]) ).
thf(zip_derived_cl47_020,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( times_times_int @ X1 ) @ X0 )
= ( hAPP_int_int @ ( times_times_int @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_35_zmult__commute]) ).
thf(zip_derived_cl95767,plain,
( ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_int_int @ ( times_times_int @ s ) @ s ) )
= ( hAPP_int_int @ ( times_times_int @ t ) @ ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( bit0 @ ( bit0 @ m ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2201,zip_derived_cl13443,zip_derived_cl205,zip_derived_cl2733,zip_derived_cl46,zip_derived_cl133,zip_derived_cl133,zip_derived_cl137,zip_derived_cl205,zip_derived_cl47]) ).
thf(zip_derived_cl2733_021,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2169,zip_derived_cl46]) ).
thf(zip_derived_cl133_022,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( times_times_int @ ( bit0 @ X0 ) ) @ X1 )
= ( bit0 @ ( hAPP_int_int @ ( times_times_int @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_89_mult__Bit0]) ).
thf(zip_derived_cl133_023,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( times_times_int @ ( bit0 @ X0 ) ) @ X1 )
= ( bit0 @ ( hAPP_int_int @ ( times_times_int @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_89_mult__Bit0]) ).
thf(zip_derived_cl137_024,plain,
! [X0: int] :
( ( hAPP_int_int @ ( times_times_int @ one_one_int ) @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_92_zmult__1]) ).
thf(zip_derived_cl205_025,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( plus_plus_int @ X1 ) @ X0 )
= ( hAPP_int_int @ ( plus_plus_int @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_134_zadd__commute]) ).
thf(fact_367_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [A_90: int] :
( ( hAPP_int_int @ ( times_times_int @ A_90 ) @ zero_zero_int )
= zero_zero_int ) ).
thf(zip_derived_cl495,plain,
! [X0: int] :
( ( hAPP_int_int @ ( times_times_int @ X0 ) @ zero_zero_int )
= zero_zero_int ),
inference(cnf,[status(esa)],[fact_367_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J]) ).
thf(fact_19_one__power2,axiom,
( ( hAPP_nat_int @ ( power_power_int @ one_one_int ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= one_one_int ) ).
thf(zip_derived_cl29,plain,
( ( hAPP_nat_int @ ( power_power_int @ one_one_int ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= one_one_int ),
inference(cnf,[status(esa)],[fact_19_one__power2]) ).
thf(zip_derived_cl257_026,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_172_Pls__def]) ).
thf(zip_derived_cl2200_027,plain,
( ( hAPP_nat_nat @ ( plus_plus_nat @ one_one_nat ) @ one_one_nat )
= ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl257]) ).
thf(zip_derived_cl2400,plain,
( ( hAPP_nat_int @ ( power_power_int @ one_one_int ) @ ( hAPP_nat_nat @ ( plus_plus_nat @ one_one_nat ) @ one_one_nat ) )
= one_one_int ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl257,zip_derived_cl2200]) ).
thf(fact_44_zpower__zadd__distrib,axiom,
! [X_1: int,Y: nat,Z: nat] :
( ( hAPP_nat_int @ ( power_power_int @ X_1 ) @ ( hAPP_nat_nat @ ( plus_plus_nat @ Y ) @ Z ) )
= ( hAPP_int_int @ ( times_times_int @ ( hAPP_nat_int @ ( power_power_int @ X_1 ) @ Y ) ) @ ( hAPP_nat_int @ ( power_power_int @ X_1 ) @ Z ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: int,X1: nat,X2: nat] :
( ( hAPP_nat_int @ ( power_power_int @ X0 ) @ ( hAPP_nat_nat @ ( plus_plus_nat @ X1 ) @ X2 ) )
= ( hAPP_int_int @ ( times_times_int @ ( hAPP_nat_int @ ( power_power_int @ X0 ) @ X1 ) ) @ ( hAPP_nat_int @ ( power_power_int @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_44_zpower__zadd__distrib]) ).
thf(fact_155_not__sum__squares__lt__zero,axiom,
! [X_19: int,Y_13: int] :
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ X_19 ) @ X_19 ) ) @ ( hAPP_int_int @ ( times_times_int @ Y_13 ) @ Y_13 ) ) ) @ zero_zero_int ) ) ).
thf(zip_derived_cl234,plain,
! [X0: int,X1: int] :
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ X0 ) @ X0 ) ) @ ( hAPP_int_int @ ( times_times_int @ X1 ) @ X1 ) ) ) @ zero_zero_int ) ),
inference(cnf,[status(esa)],[fact_155_not__sum__squares__lt__zero]) ).
thf(zip_derived_cl3250,plain,
! [X0: nat,X1: int,X2: int] :
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ X1 ) @ ( hAPP_nat_nat @ ( plus_plus_nat @ X0 ) @ X0 ) ) ) @ ( hAPP_int_int @ ( times_times_int @ X2 ) @ X2 ) ) ) @ zero_zero_int ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl234]) ).
thf(zip_derived_cl3383,plain,
! [X0: int] :
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_int_int @ ( times_times_int @ X0 ) @ X0 ) ) ) @ zero_zero_int ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2400,zip_derived_cl3250]) ).
thf(zip_derived_cl96918,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2710,zip_derived_cl2733,zip_derived_cl133,zip_derived_cl133,zip_derived_cl137,zip_derived_cl205,zip_derived_cl47,zip_derived_cl95767,zip_derived_cl2733,zip_derived_cl133,zip_derived_cl133,zip_derived_cl137,zip_derived_cl205,zip_derived_cl495,zip_derived_cl3383]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM924_30 : TPTP v9.2.0. Released v8.2.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9idRRVNOVH true
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:47:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.87 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.56/0.88 % /export/starexec/sandbox/solver/bin/fo/fo8.sh running for 50s
% 0.56/0.88 % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 194.10/32.77 % Solved by fo/fo17_bce.sh.
% 194.10/32.77 % BCE start: 1705
% 194.10/32.77 % BCE eliminated: 0
% 194.10/32.77 % PE start: 1705
% 194.10/32.77 logic: eq
% 194.10/32.77 % PE eliminated: 40
% 194.10/32.77 % done 13090 iterations in 31.837s
% 194.10/32.77 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 194.10/32.77 % SZS output start Refutation
% See solution above
% 194.10/32.77
% 194.10/32.77
% 194.10/32.77 % Terminating...
% 194.38/32.93 % Runner terminated.
% 194.42/32.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------