TSTP Solution File: NUM924_3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM924_3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SMBIUB4BFQ true
% Computer : n019.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 Aug 31 12:44:48 EDT 2023
% Result : Theorem 51.14s 7.98s
% Output : Refutation 51.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 42
% Syntax : Number of formulae : 91 ( 58 unt; 30 typ; 0 def)
% Number of atoms : 67 ( 43 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 488 ( 10 ~; 4 |; 0 &; 472 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 9 ( 8 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 9 con; 0-2 aty)
% Number of variables : 30 ( 0 ^; 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
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(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(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_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(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_cl1725,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_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_cl1729,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 @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ),
inference(demod,[status(thm)],[zip_derived_cl1725,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_002,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_172_Pls__def]) ).
thf(zip_derived_cl46_003,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_34_number__of__is__id]) ).
thf(zip_derived_cl1731,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl239,zip_derived_cl257,zip_derived_cl46]) ).
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_004,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_172_Pls__def]) ).
thf(zip_derived_cl1731_005,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl239,zip_derived_cl257,zip_derived_cl46]) ).
thf(zip_derived_cl1792,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_cl131,zip_derived_cl257,zip_derived_cl1731]) ).
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_006,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_172_Pls__def]) ).
thf(zip_derived_cl1731_007,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl239,zip_derived_cl257,zip_derived_cl46]) ).
thf(zip_derived_cl1792_008,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_cl131,zip_derived_cl257,zip_derived_cl1731]) ).
thf(zip_derived_cl1819,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_cl1731,zip_derived_cl1792]) ).
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(zip_derived_cl1731_009,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl239,zip_derived_cl257,zip_derived_cl46]) ).
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(zip_derived_cl205_010,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_011,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_cl1895,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 ) @ ( hAPP_int_int @ ( times_times_int @ m ) @ ( bit0 @ ( bit0 @ one_one_int ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1729,zip_derived_cl1731,zip_derived_cl1792,zip_derived_cl1819,zip_derived_cl205,zip_derived_cl1731,zip_derived_cl47,zip_derived_cl205,zip_derived_cl47]) ).
thf(fact_662_mult__neg__pos,axiom,
! [B_21: int,A_29: int] :
( ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ A_29 ) @ zero_zero_int ) )
=> ( ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_int ) @ B_21 ) )
=> ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( times_times_int @ A_29 ) @ B_21 ) ) @ zero_zero_int ) ) ) ) ).
thf(zip_derived_cl869,plain,
! [X0: int,X1: int] :
( ~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_int ) @ X0 ) )
| ~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ X1 ) @ zero_zero_int ) )
| ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( times_times_int @ X1 ) @ X0 ) ) @ zero_zero_int ) ) ),
inference(cnf,[status(esa)],[fact_662_mult__neg__pos]) ).
thf(zip_derived_cl21725,plain,
( ~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_int ) @ ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_int_int @ ( times_times_int @ m ) @ ( bit0 @ ( bit0 @ one_one_int ) ) ) ) ) )
| ~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ t ) @ zero_zero_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 @ s ) @ s ) ) ) @ zero_zero_int ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1895,zip_derived_cl869]) ).
thf(fact_6_p0,axiom,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_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 ) ) ).
thf(zip_derived_cl6,plain,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_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 ) ),
inference(cnf,[status(esa)],[fact_6_p0]) ).
thf(zip_derived_cl257_012,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_172_Pls__def]) ).
thf(zip_derived_cl1731_013,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl239,zip_derived_cl257,zip_derived_cl46]) ).
thf(zip_derived_cl46_014,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_34_number__of__is__id]) ).
thf(zip_derived_cl1743,plain,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_int ) @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( bit0 @ ( bit0 @ one_one_int ) ) ) @ m ) ) @ one_one_int ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl257,zip_derived_cl1731,zip_derived_cl46]) ).
thf(zip_derived_cl205_015,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_cl1782,plain,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_int ) @ ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_int_int @ ( times_times_int @ ( bit0 @ ( bit0 @ one_one_int ) ) ) @ m ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1743,zip_derived_cl205]) ).
thf(zip_derived_cl47_016,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_cl1862,plain,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_int ) @ ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_int_int @ ( times_times_int @ m ) @ ( bit0 @ ( bit0 @ one_one_int ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1782,zip_derived_cl47]) ).
thf(fact_0__096t_A_060_A0_096,axiom,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ t ) @ zero_zero_int ) ).
thf(zip_derived_cl0,plain,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ t ) @ zero_zero_int ),
inference(cnf,[status(esa)],[fact_0__096t_A_060_A0_096]) ).
thf(conj_0,conjecture,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ s ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ one_one_int ) ) @ zero_zero_int ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ s ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ one_one_int ) ) @ zero_zero_int ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl1705,plain,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ s ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ one_one_int ) ) @ zero_zero_int ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl257_017,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_172_Pls__def]) ).
thf(zip_derived_cl1731_018,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl239,zip_derived_cl257,zip_derived_cl46]) ).
thf(zip_derived_cl1746,plain,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ s ) @ ( number_number_of_nat @ ( bit0 @ one_one_int ) ) ) ) @ one_one_int ) ) @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl1705,zip_derived_cl257,zip_derived_cl1731]) ).
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_cl1783,plain,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ ( power_power_int @ s ) @ ( number_number_of_nat @ ( bit0 @ one_one_int ) ) ) ) ) @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl1746,zip_derived_cl205]) ).
thf(zip_derived_cl1792_020,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_cl131,zip_derived_cl257,zip_derived_cl1731]) ).
thf(zip_derived_cl1810,plain,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ ( power_power_int @ s ) @ ( hAPP_nat_nat @ ( plus_plus_nat @ one_one_nat ) @ one_one_nat ) ) ) ) @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl1783,zip_derived_cl1792]) ).
thf(zip_derived_cl1819_021,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_cl1731,zip_derived_cl1792]) ).
thf(zip_derived_cl1860,plain,
~ ( 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 @ s ) @ s ) ) ) @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl1810,zip_derived_cl1819]) ).
thf(zip_derived_cl21733,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl21725,zip_derived_cl1862,zip_derived_cl0,zip_derived_cl1860]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM924_3 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SMBIUB4BFQ true
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 14:56:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 51.14/7.98 % Solved by fo/fo13.sh.
% 51.14/7.98 % done 2452 iterations in 7.194s
% 51.14/7.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 51.14/7.98 % SZS output start Refutation
% See solution above
% 51.14/7.98
% 51.14/7.98
% 51.14/7.98 % Terminating...
% 51.77/8.08 % Runner terminated.
% 51.77/8.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------