TSTP Solution File: NUM926_3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM926_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.R6P6Zng5BL true
% Computer : n002.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 12:44:57 EDT 2023
% Result : Theorem 138.09s 20.63s
% Output : Refutation 138.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 49
% Syntax : Number of formulae : 127 ( 81 unt; 33 typ; 0 def)
% Number of atoms : 109 ( 96 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 774 ( 13 ~; 6 |; 1 &; 746 @)
% ( 1 <=>; 1 =>; 6 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Number of types : 9 ( 8 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 12 con; 0-2 aty)
% Number of variables : 56 ( 0 ^; 50 !; 6 ?; 56 :)
% 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(ord_less_eq_int_type,type,
ord_less_eq_int: fun_int_fun_int_bool ).
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(sk__2_type,type,
sk__2: 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(sk__3_type,type,
sk__3: 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__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom,
( ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ one_one_int ) @ t ) )
=> ? [X: int,Y: int] :
( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ X ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ ( hAPP_nat_int @ ( power_power_int @ Y ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( 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_cl2,plain,
( ( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ sk__2 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ ( hAPP_nat_int @ ( power_power_int @ sk__3 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) )
| ~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ one_one_int ) @ t ) ) ),
inference(cnf,[status(esa)],[fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06]) ).
thf(zip_derived_cl1710,plain,
( ( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ sk__2 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ ( hAPP_nat_int @ ( power_power_int @ sk__3 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) )
<= ( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ sk__2 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ ( hAPP_nat_int @ ( power_power_int @ sk__3 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( 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(split,[status(esa)],[zip_derived_cl2]) ).
thf(fact_358_Pls__def,axiom,
pls = zero_zero_int ).
thf(zip_derived_cl453,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_358_Pls__def]) ).
thf(fact_260_semiring__numeral__1__eq__1,axiom,
( ( number_number_of_int @ ( bit1 @ pls ) )
= one_one_int ) ).
thf(zip_derived_cl331,plain,
( ( number_number_of_int @ ( bit1 @ pls ) )
= one_one_int ),
inference(cnf,[status(esa)],[fact_260_semiring__numeral__1__eq__1]) ).
thf(zip_derived_cl453_001,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_358_Pls__def]) ).
thf(zip_derived_cl1723,plain,
( ( number_number_of_int @ ( bit1 @ zero_zero_int ) )
= one_one_int ),
inference(demod,[status(thm)],[zip_derived_cl331,zip_derived_cl453]) ).
thf(fact_144_number__of__is__id,axiom,
! [K_1: int] :
( ( number_number_of_int @ K_1 )
= K_1 ) ).
thf(zip_derived_cl181,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_144_number__of__is__id]) ).
thf(zip_derived_cl1767,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1723,zip_derived_cl181]) ).
thf(fact_62_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_cl71,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_62_nat__1__add__1]) ).
thf(zip_derived_cl453_002,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_358_Pls__def]) ).
thf(zip_derived_cl1767_003,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1723,zip_derived_cl181]) ).
thf(zip_derived_cl4080,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_cl71,zip_derived_cl453,zip_derived_cl1767]) ).
thf(zip_derived_cl453_004,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_358_Pls__def]) ).
thf(zip_derived_cl1767_005,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1723,zip_derived_cl181]) ).
thf(zip_derived_cl4080_006,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_cl71,zip_derived_cl453,zip_derived_cl1767]) ).
thf(zip_derived_cl453_007,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_358_Pls__def]) ).
thf(zip_derived_cl1767_008,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1723,zip_derived_cl181]) ).
thf(zip_derived_cl181_009,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_144_number__of__is__id]) ).
thf(fact_202_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_cl273,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_202_mult__Bit0]) ).
thf(fact_269_double__number__of__Bit0,axiom,
! [W_6: int] :
( ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ one_one_int ) ) @ ( number_number_of_int @ W_6 ) )
= ( number_number_of_int @ ( bit0 @ W_6 ) ) ) ).
thf(zip_derived_cl340,plain,
! [X0: int] :
( ( hAPP_int_int @ ( times_times_int @ ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ one_one_int ) ) @ ( number_number_of_int @ X0 ) )
= ( number_number_of_int @ ( bit0 @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_269_double__number__of__Bit0]) ).
thf(fact_32_one__add__one__is__two,axiom,
( ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ one_one_int )
= ( number_number_of_int @ ( bit0 @ ( bit1 @ pls ) ) ) ) ).
thf(zip_derived_cl32,plain,
( ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ one_one_int )
= ( number_number_of_int @ ( bit0 @ ( bit1 @ pls ) ) ) ),
inference(cnf,[status(esa)],[fact_32_one__add__one__is__two]) ).
thf(zip_derived_cl453_010,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_358_Pls__def]) ).
thf(zip_derived_cl1729,plain,
( ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ one_one_int )
= ( number_number_of_int @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl453]) ).
thf(zip_derived_cl1767_011,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1723,zip_derived_cl181]) ).
thf(zip_derived_cl181_012,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_144_number__of__is__id]) ).
thf(zip_derived_cl1782,plain,
( ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ one_one_int )
= ( bit0 @ one_one_int ) ),
inference(demod,[status(thm)],[zip_derived_cl1729,zip_derived_cl1767,zip_derived_cl181]) ).
thf(zip_derived_cl181_013,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_144_number__of__is__id]) ).
thf(zip_derived_cl181_014,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_144_number__of__is__id]) ).
thf(zip_derived_cl2354,plain,
! [X0: int] :
( ( hAPP_int_int @ ( times_times_int @ ( bit0 @ one_one_int ) ) @ X0 )
= ( bit0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl340,zip_derived_cl1782,zip_derived_cl181,zip_derived_cl181]) ).
thf(fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [A_104: int,C_30: int] :
( ( hAPP_int_int @ ( plus_plus_int @ A_104 ) @ C_30 )
= ( hAPP_int_int @ ( plus_plus_int @ C_30 ) @ A_104 ) ) ).
thf(zip_derived_cl162,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_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
thf(zip_derived_cl91029,plain,
( ( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ sk__2 ) @ ( hAPP_nat_nat @ ( plus_plus_nat @ one_one_nat ) @ one_one_nat ) ) ) @ ( hAPP_nat_int @ ( power_power_int @ sk__3 ) @ ( hAPP_nat_nat @ ( plus_plus_nat @ one_one_nat ) @ one_one_nat ) ) )
= ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( bit0 @ ( bit0 @ m ) ) ) )
<= ( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ sk__2 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ ( hAPP_nat_int @ ( power_power_int @ sk__3 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( 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(demod,[status(thm)],[zip_derived_cl1710,zip_derived_cl453,zip_derived_cl1767,zip_derived_cl4080,zip_derived_cl453,zip_derived_cl1767,zip_derived_cl4080,zip_derived_cl453,zip_derived_cl1767,zip_derived_cl181,zip_derived_cl273,zip_derived_cl2354,zip_derived_cl162]) ).
thf(conj_0,conjecture,
? [X: int,Y: int] :
( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ X ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ ( hAPP_nat_int @ ( power_power_int @ Y ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( 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(zf_stmt_0,negated_conjecture,
~ ? [X: int,Y: int] :
( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ X ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ ( hAPP_nat_int @ ( power_power_int @ Y ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( 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.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl1706,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ X0 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ ( hAPP_nat_int @ ( power_power_int @ X1 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
!= ( 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)],[zf_stmt_0]) ).
thf(zip_derived_cl453_015,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_358_Pls__def]) ).
thf(zip_derived_cl1767_016,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1723,zip_derived_cl181]) ).
thf(zip_derived_cl4080_017,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_cl71,zip_derived_cl453,zip_derived_cl1767]) ).
thf(zip_derived_cl453_018,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_358_Pls__def]) ).
thf(zip_derived_cl1767_019,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1723,zip_derived_cl181]) ).
thf(zip_derived_cl4080_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_cl71,zip_derived_cl453,zip_derived_cl1767]) ).
thf(zip_derived_cl453_021,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_358_Pls__def]) ).
thf(zip_derived_cl1767_022,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1723,zip_derived_cl181]) ).
thf(zip_derived_cl181_023,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_144_number__of__is__id]) ).
thf(zip_derived_cl273_024,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_202_mult__Bit0]) ).
thf(zip_derived_cl2354_025,plain,
! [X0: int] :
( ( hAPP_int_int @ ( times_times_int @ ( bit0 @ one_one_int ) ) @ X0 )
= ( bit0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl340,zip_derived_cl1782,zip_derived_cl181,zip_derived_cl181]) ).
thf(zip_derived_cl162_026,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_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
thf(zip_derived_cl47222,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ X0 ) @ ( hAPP_nat_nat @ ( plus_plus_nat @ one_one_nat ) @ one_one_nat ) ) ) @ ( hAPP_nat_int @ ( power_power_int @ X1 ) @ ( hAPP_nat_nat @ ( plus_plus_nat @ one_one_nat ) @ one_one_nat ) ) )
!= ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( bit0 @ ( bit0 @ m ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1706,zip_derived_cl453,zip_derived_cl1767,zip_derived_cl4080,zip_derived_cl453,zip_derived_cl1767,zip_derived_cl4080,zip_derived_cl453,zip_derived_cl1767,zip_derived_cl181,zip_derived_cl273,zip_derived_cl2354,zip_derived_cl162]) ).
thf(zip_derived_cl91030,plain,
( $false
<= ( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ sk__2 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ ( hAPP_nat_int @ ( power_power_int @ sk__3 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( 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('simplify_reflect-',[status(thm)],[zip_derived_cl91029,zip_derived_cl47222]) ).
thf(fact_37_zless__le,axiom,
! [Z_1: int,W_1: int] :
( ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ Z_1 ) @ W_1 ) )
<=> ( ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_eq_int @ Z_1 ) @ W_1 ) )
& ( Z_1 != W_1 ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: int,X1: int] :
( ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ X0 ) @ X1 ) )
| ( X0 = X1 )
| ~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_eq_int @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_37_zless__le]) ).
thf(fact_0_tpos,axiom,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_eq_int @ one_one_int ) @ t ) ).
thf(zip_derived_cl0,plain,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_eq_int @ one_one_int ) @ t ),
inference(cnf,[status(esa)],[fact_0_tpos]) ).
thf(zip_derived_cl2427,plain,
( ( one_one_int = t )
| ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ one_one_int ) @ t ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl0]) ).
thf(zip_derived_cl90990,plain,
( ( one_one_int = t )
<= ( t = one_one_int ) ),
inference(split,[status(esa)],[zip_derived_cl2427]) ).
thf(fact_5_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_cl5,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_5_t]) ).
thf(zip_derived_cl453_027,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_358_Pls__def]) ).
thf(zip_derived_cl453_028,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_358_Pls__def]) ).
thf(zip_derived_cl1732,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_cl5,zip_derived_cl453,zip_derived_cl453]) ).
thf(zip_derived_cl181_029,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_144_number__of__is__id]) ).
thf(zip_derived_cl1755,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_cl1732,zip_derived_cl181]) ).
thf(zip_derived_cl1767_030,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1723,zip_derived_cl181]) ).
thf(zip_derived_cl4080_031,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_cl71,zip_derived_cl453,zip_derived_cl1767]) ).
thf(zip_derived_cl162_032,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_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
thf(zip_derived_cl1767_033,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1723,zip_derived_cl181]) ).
thf(zip_derived_cl273_034,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_202_mult__Bit0]) ).
thf(zip_derived_cl2354_035,plain,
! [X0: int] :
( ( hAPP_int_int @ ( times_times_int @ ( bit0 @ one_one_int ) ) @ X0 )
= ( bit0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl340,zip_derived_cl1782,zip_derived_cl181,zip_derived_cl181]) ).
thf(zip_derived_cl162_036,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_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
thf(fact_112_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
! [A_111: int,B_63: int] :
( ( hAPP_int_int @ ( times_times_int @ A_111 ) @ B_63 )
= ( hAPP_int_int @ ( times_times_int @ B_63 ) @ A_111 ) ) ).
thf(zip_derived_cl141,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_112_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J]) ).
thf(zip_derived_cl37172,plain,
( ( 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 ) ) )
= ( 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_cl1755,zip_derived_cl1767,zip_derived_cl4080,zip_derived_cl162,zip_derived_cl1767,zip_derived_cl273,zip_derived_cl2354,zip_derived_cl162,zip_derived_cl141]) ).
thf(fact_468_power__one,axiom,
! [N_15: nat] :
( ( hAPP_nat_int @ ( power_power_int @ one_one_int ) @ N_15 )
= one_one_int ) ).
thf(zip_derived_cl606,plain,
! [X0: nat] :
( ( hAPP_nat_int @ ( power_power_int @ one_one_int ) @ X0 )
= one_one_int ),
inference(cnf,[status(esa)],[fact_468_power__one]) ).
thf(zip_derived_cl47222_037,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ X0 ) @ ( hAPP_nat_nat @ ( plus_plus_nat @ one_one_nat ) @ one_one_nat ) ) ) @ ( hAPP_nat_int @ ( power_power_int @ X1 ) @ ( hAPP_nat_nat @ ( plus_plus_nat @ one_one_nat ) @ one_one_nat ) ) )
!= ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( bit0 @ ( bit0 @ m ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1706,zip_derived_cl453,zip_derived_cl1767,zip_derived_cl4080,zip_derived_cl453,zip_derived_cl1767,zip_derived_cl4080,zip_derived_cl453,zip_derived_cl1767,zip_derived_cl181,zip_derived_cl273,zip_derived_cl2354,zip_derived_cl162]) ).
thf(zip_derived_cl47241,plain,
! [X0: int] :
( ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ ( power_power_int @ X0 ) @ ( hAPP_nat_nat @ ( plus_plus_nat @ one_one_nat ) @ one_one_nat ) ) )
!= ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( bit0 @ ( bit0 @ m ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl606,zip_derived_cl47222]) ).
thf(zip_derived_cl57498,plain,
( ( hAPP_int_int @ ( times_times_int @ t ) @ ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( bit0 @ ( bit0 @ m ) ) ) )
!= ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( bit0 @ ( bit0 @ m ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37172,zip_derived_cl47241]) ).
thf(zip_derived_cl91011,plain,
( ( ( hAPP_int_int @ ( times_times_int @ one_one_int ) @ ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( bit0 @ ( bit0 @ m ) ) ) )
!= ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( bit0 @ ( bit0 @ m ) ) ) )
<= ( t = one_one_int ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90990,zip_derived_cl57498]) ).
thf(fact_188_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
! [A_99: int] :
( ( hAPP_int_int @ ( times_times_int @ one_one_int ) @ A_99 )
= A_99 ) ).
thf(zip_derived_cl257,plain,
! [X0: int] :
( ( hAPP_int_int @ ( times_times_int @ one_one_int ) @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_188_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J]) ).
thf(zip_derived_cl91017,plain,
( ( ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( bit0 @ ( bit0 @ m ) ) )
!= ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( bit0 @ ( bit0 @ m ) ) ) )
<= ( t = one_one_int ) ),
inference(demod,[status(thm)],[zip_derived_cl91011,zip_derived_cl257]) ).
thf('0',plain,
t != one_one_int,
inference(simplify,[status(thm)],[zip_derived_cl91017]) ).
thf('1',plain,
( ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ one_one_int ) @ t ) )
| ( t = one_one_int ) ),
inference(split,[status(esa)],[zip_derived_cl2427]) ).
thf('2',plain,
( ( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ sk__2 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ ( hAPP_nat_int @ ( power_power_int @ sk__3 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_int_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) )
| ~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ one_one_int ) @ t ) ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf('3',plain,
( ( hAPP_int_int @ ( plus_plus_int @ ( hAPP_nat_int @ ( power_power_int @ sk__2 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ ( hAPP_nat_int @ ( power_power_int @ sk__3 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( 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('sat_resolution*',[status(thm)],['0','1','2']) ).
thf(zip_derived_cl91031,plain,
$false,
inference(simpl_trail,[status(thm)],[zip_derived_cl91030,'3']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM926_3 : TPTP v8.1.2. Released v5.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.R6P6Zng5BL true
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 25 15:17:17 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % 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
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.20/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.20/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 138.09/20.63 % Solved by fo/fo1_av.sh.
% 138.09/20.63 % done 12379 iterations in 19.841s
% 138.09/20.63 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 138.09/20.63 % SZS output start Refutation
% See solution above
% 138.09/20.64
% 138.09/20.64
% 138.09/20.64 % Terminating...
% 138.72/20.71 % Runner terminated.
% 138.72/20.72 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------