TSTP Solution File: NUM926_2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM926_2 : 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.oFqEwZOP6l true
% Computer : n031.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 12:44:56 EDT 2023
% Result : Theorem 36.33s 5.89s
% Output : Refutation 36.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 45
% Syntax : Number of formulae : 162 ( 115 unt; 28 typ; 0 def)
% Number of atoms : 155 ( 139 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 679 ( 19 ~; 15 |; 1 &; 639 @)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 13 con; 0-2 aty)
% Number of variables : 71 ( 0 ^; 63 !; 8 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(int_type,type,
int: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(real_type,type,
real: $tType ).
thf(times_times_int_type,type,
times_times_int: int > int > int ).
thf('#_fresh_sk3_type',type,
'#_fresh_sk3': real > int ).
thf(t_type,type,
t: int ).
thf(plus_plus_nat_type,type,
plus_plus_nat: nat > nat > nat ).
thf(one_one_nat_type,type,
one_one_nat: nat ).
thf(zero_zero_int_type,type,
zero_zero_int: int ).
thf(pls_type,type,
pls: int ).
thf(zero_zero_real_type,type,
zero_zero_real: real ).
thf(one_one_real_type,type,
one_one_real: real ).
thf(bit0_type,type,
bit0: int > int ).
thf(one_one_int_type,type,
one_one_int: int ).
thf(sk__3_type,type,
sk__3: int ).
thf(ord_less_int_type,type,
ord_less_int: int > int > $o ).
thf(m_type,type,
m: int ).
thf(bit1_type,type,
bit1: int > int ).
thf(plus_plus_int_type,type,
plus_plus_int: int > int > int ).
thf(number_number_of_nat_type,type,
number_number_of_nat: int > nat ).
thf(power_power_int_type,type,
power_power_int: int > nat > int ).
thf(sk__type,type,
sk_: int ).
thf(number267125858f_real_type,type,
number267125858f_real: int > real ).
thf('#_fresh_sk1_type',type,
'#_fresh_sk1': int > int ).
thf(number_number_of_int_type,type,
number_number_of_int: int > int ).
thf(sk__1_type,type,
sk__1: int ).
thf(sk__2_type,type,
sk__2: int ).
thf(ord_less_eq_int_type,type,
ord_less_eq_int: int > int > $o ).
thf(fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom,
( ( t = one_one_int )
=> ? [X: int,Y: int] :
( ( plus_plus_int @ ( power_power_int @ X @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ) ).
thf(zip_derived_cl1,plain,
( ( ( plus_plus_int @ ( power_power_int @ sk_ @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ sk__1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) )
| ( t != one_one_int ) ),
inference(cnf,[status(esa)],[fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06]) ).
thf(fact_356_Pls__def,axiom,
pls = zero_zero_int ).
thf(zip_derived_cl450,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(zip_derived_cl450_001,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(zip_derived_cl450_002,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(fact_142_number__of__is__id,axiom,
! [K: int] :
( ( number_number_of_int @ K )
= K ) ).
thf(zip_derived_cl178,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_142_number__of__is__id]) ).
thf(zip_derived_cl951,plain,
( ( ( plus_plus_int @ ( power_power_int @ sk_ @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ ( power_power_int @ sk__1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) @ m ) @ one_one_int ) )
| ( t != one_one_int ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl450,zip_derived_cl450,zip_derived_cl450,zip_derived_cl178]) ).
thf(fact_260_semiring__numeral__1__eq__1,axiom,
( ( number_number_of_int @ ( bit1 @ pls ) )
= one_one_int ) ).
thf(zip_derived_cl330,plain,
( ( number_number_of_int @ ( bit1 @ pls ) )
= one_one_int ),
inference(cnf,[status(esa)],[fact_260_semiring__numeral__1__eq__1]) ).
thf(zip_derived_cl450_003,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(zip_derived_cl178_004,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_142_number__of__is__id]) ).
thf(zip_derived_cl957,plain,
( ( bit1 @ zero_zero_int )
= one_one_int ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl450,zip_derived_cl178]) ).
thf(zip_derived_cl957_005,plain,
( ( bit1 @ zero_zero_int )
= one_one_int ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl450,zip_derived_cl178]) ).
thf(zip_derived_cl957_006,plain,
( ( bit1 @ zero_zero_int )
= one_one_int ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl450,zip_derived_cl178]) ).
thf(zip_derived_cl958,plain,
( ( ( plus_plus_int @ ( power_power_int @ sk_ @ ( number_number_of_nat @ ( bit0 @ one_one_int ) ) ) @ ( power_power_int @ sk__1 @ ( number_number_of_nat @ ( bit0 @ one_one_int ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ one_one_int ) ) @ m ) @ one_one_int ) )
| ( t != one_one_int ) ),
inference(demod,[status(thm)],[zip_derived_cl951,zip_derived_cl957,zip_derived_cl957,zip_derived_cl957]) ).
thf(fact_258_semiring__numeral__1__eq__1,axiom,
( ( number267125858f_real @ ( bit1 @ pls ) )
= one_one_real ) ).
thf(zip_derived_cl328,plain,
( ( number267125858f_real @ ( bit1 @ pls ) )
= one_one_real ),
inference(cnf,[status(esa)],[fact_258_semiring__numeral__1__eq__1]) ).
thf(zip_derived_cl450_007,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(zip_derived_cl957_008,plain,
( ( bit1 @ zero_zero_int )
= one_one_int ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl450,zip_derived_cl178]) ).
thf(zip_derived_cl986,plain,
( ( number267125858f_real @ one_one_int )
= one_one_real ),
inference(demod,[status(thm)],[zip_derived_cl328,zip_derived_cl450,zip_derived_cl957]) ).
thf(fact_133_eq__number__of,axiom,
! [X_2: int,Y_2: int] :
( ( ( number267125858f_real @ X_2 )
= ( number267125858f_real @ Y_2 ) )
<=> ( X_2 = Y_2 ) ) ).
thf(zip_derived_cl162,plain,
! [X0: int,X1: int] :
( ( X1 = X0 )
| ( ( number267125858f_real @ X1 )
!= ( number267125858f_real @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_133_eq__number__of]) ).
thf(zip_derived_cl1545,plain,
! [X1: int] :
( ( '#_fresh_sk3' @ ( number267125858f_real @ X1 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl1575,plain,
( ( '#_fresh_sk3' @ one_one_real )
= one_one_int ),
inference('sup+',[status(thm)],[zip_derived_cl986,zip_derived_cl1545]) ).
thf(fact_204_Bit0__def,axiom,
! [K: int] :
( ( bit0 @ K )
= ( plus_plus_int @ K @ K ) ) ).
thf(zip_derived_cl274,plain,
! [X0: int] :
( ( bit0 @ X0 )
= ( plus_plus_int @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_204_Bit0__def]) ).
thf(fact_62_nat__1__add__1,axiom,
( ( plus_plus_nat @ one_one_nat @ one_one_nat )
= ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ).
thf(zip_derived_cl71,plain,
( ( 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_cl450_009,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(fact_389_semiring__norm_I112_J,axiom,
( zero_zero_real
= ( number267125858f_real @ pls ) ) ).
thf(zip_derived_cl491,plain,
( zero_zero_real
= ( number267125858f_real @ pls ) ),
inference(cnf,[status(esa)],[fact_389_semiring__norm_I112_J]) ).
thf(zip_derived_cl450_010,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(zip_derived_cl939,plain,
( zero_zero_real
= ( number267125858f_real @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl491,zip_derived_cl450]) ).
thf(zip_derived_cl1545_011,plain,
! [X1: int] :
( ( '#_fresh_sk3' @ ( number267125858f_real @ X1 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl1576,plain,
( ( '#_fresh_sk3' @ zero_zero_real )
= zero_zero_int ),
inference('sup+',[status(thm)],[zip_derived_cl939,zip_derived_cl1545]) ).
thf(zip_derived_cl1648,plain,
( pls
= ( '#_fresh_sk3' @ zero_zero_real ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl1576]) ).
thf(zip_derived_cl1576_012,plain,
( ( '#_fresh_sk3' @ zero_zero_real )
= zero_zero_int ),
inference('sup+',[status(thm)],[zip_derived_cl939,zip_derived_cl1545]) ).
thf(zip_derived_cl957_013,plain,
( ( bit1 @ zero_zero_int )
= one_one_int ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl450,zip_derived_cl178]) ).
thf(fact_138_rel__simps_I51_J,axiom,
! [K_1: int,L_1: int] :
( ( ( bit1 @ K_1 )
= ( bit1 @ L_1 ) )
<=> ( K_1 = L_1 ) ) ).
thf(zip_derived_cl172,plain,
! [X0: int,X1: int] :
( ( X1 = X0 )
| ( ( bit1 @ X1 )
!= ( bit1 @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_138_rel__simps_I51_J]) ).
thf(zip_derived_cl998,plain,
! [X1: int] :
( ( '#_fresh_sk1' @ ( bit1 @ X1 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl172]) ).
thf(zip_derived_cl1014,plain,
( ( '#_fresh_sk1' @ one_one_int )
= zero_zero_int ),
inference('sup+',[status(thm)],[zip_derived_cl957,zip_derived_cl998]) ).
thf(zip_derived_cl1575_014,plain,
( ( '#_fresh_sk3' @ one_one_real )
= one_one_int ),
inference('sup+',[status(thm)],[zip_derived_cl986,zip_derived_cl1545]) ).
thf(zip_derived_cl1602,plain,
( ( '#_fresh_sk1' @ ( '#_fresh_sk3' @ one_one_real ) )
= zero_zero_int ),
inference(demod,[status(thm)],[zip_derived_cl1014,zip_derived_cl1575]) ).
thf(zip_derived_cl1715,plain,
( ( '#_fresh_sk3' @ zero_zero_real )
= ( '#_fresh_sk1' @ ( '#_fresh_sk3' @ one_one_real ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1576,zip_derived_cl1602]) ).
thf(zip_derived_cl1786,plain,
( pls
= ( '#_fresh_sk1' @ ( '#_fresh_sk3' @ one_one_real ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1648,zip_derived_cl1715]) ).
thf(zip_derived_cl957_015,plain,
( ( bit1 @ zero_zero_int )
= one_one_int ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl450,zip_derived_cl178]) ).
thf(zip_derived_cl1575_016,plain,
( ( '#_fresh_sk3' @ one_one_real )
= one_one_int ),
inference('sup+',[status(thm)],[zip_derived_cl986,zip_derived_cl1545]) ).
thf(zip_derived_cl1593,plain,
( ( bit1 @ zero_zero_int )
= ( '#_fresh_sk3' @ one_one_real ) ),
inference(demod,[status(thm)],[zip_derived_cl957,zip_derived_cl1575]) ).
thf(zip_derived_cl1602_017,plain,
( ( '#_fresh_sk1' @ ( '#_fresh_sk3' @ one_one_real ) )
= zero_zero_int ),
inference(demod,[status(thm)],[zip_derived_cl1014,zip_derived_cl1575]) ).
thf(zip_derived_cl1716,plain,
( ( bit1 @ ( '#_fresh_sk1' @ ( '#_fresh_sk3' @ one_one_real ) ) )
= ( '#_fresh_sk3' @ one_one_real ) ),
inference(demod,[status(thm)],[zip_derived_cl1593,zip_derived_cl1602]) ).
thf(zip_derived_cl274_018,plain,
! [X0: int] :
( ( bit0 @ X0 )
= ( plus_plus_int @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_204_Bit0__def]) ).
thf(zip_derived_cl3246,plain,
( ( plus_plus_nat @ one_one_nat @ one_one_nat )
= ( number_number_of_nat @ ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( '#_fresh_sk3' @ one_one_real ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl1786,zip_derived_cl1716,zip_derived_cl274]) ).
thf(zip_derived_cl1575_019,plain,
( ( '#_fresh_sk3' @ one_one_real )
= one_one_int ),
inference('sup+',[status(thm)],[zip_derived_cl986,zip_derived_cl1545]) ).
thf(zip_derived_cl274_020,plain,
! [X0: int] :
( ( bit0 @ X0 )
= ( plus_plus_int @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_204_Bit0__def]) ).
thf(zip_derived_cl3246_021,plain,
( ( plus_plus_nat @ one_one_nat @ one_one_nat )
= ( number_number_of_nat @ ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( '#_fresh_sk3' @ one_one_real ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl1786,zip_derived_cl1716,zip_derived_cl274]) ).
thf(zip_derived_cl1575_022,plain,
( ( '#_fresh_sk3' @ one_one_real )
= one_one_int ),
inference('sup+',[status(thm)],[zip_derived_cl986,zip_derived_cl1545]) ).
thf(zip_derived_cl274_023,plain,
! [X0: int] :
( ( bit0 @ X0 )
= ( plus_plus_int @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_204_Bit0__def]) ).
thf(fact_114_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
! [A_56: int,B_17: int] :
( ( times_times_int @ A_56 @ B_17 )
= ( times_times_int @ B_17 @ A_56 ) ) ).
thf(zip_derived_cl143,plain,
! [X0: int,X1: int] :
( ( times_times_int @ X1 @ X0 )
= ( times_times_int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_114_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J]) ).
thf(zip_derived_cl1575_024,plain,
( ( '#_fresh_sk3' @ one_one_real )
= one_one_int ),
inference('sup+',[status(thm)],[zip_derived_cl986,zip_derived_cl1545]) ).
thf(fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [A_50: int,C_5: int] :
( ( plus_plus_int @ A_50 @ C_5 )
= ( plus_plus_int @ C_5 @ A_50 ) ) ).
thf(zip_derived_cl161,plain,
! [X0: int,X1: int] :
( ( plus_plus_int @ X1 @ X0 )
= ( plus_plus_int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
thf(zip_derived_cl1575_025,plain,
( ( '#_fresh_sk3' @ one_one_real )
= one_one_int ),
inference('sup+',[status(thm)],[zip_derived_cl986,zip_derived_cl1545]) ).
thf(zip_derived_cl8557,plain,
( ( ( plus_plus_int @ ( power_power_int @ sk_ @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) @ ( power_power_int @ sk__1 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) )
= ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( times_times_int @ m @ ( bit0 @ ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( '#_fresh_sk3' @ one_one_real ) ) ) ) ) )
| ( t
!= ( '#_fresh_sk3' @ one_one_real ) ) ),
inference(demod,[status(thm)],[zip_derived_cl958,zip_derived_cl1575,zip_derived_cl274,zip_derived_cl3246,zip_derived_cl1575,zip_derived_cl274,zip_derived_cl3246,zip_derived_cl1575,zip_derived_cl274,zip_derived_cl143,zip_derived_cl1575,zip_derived_cl161,zip_derived_cl1575]) ).
thf(fact_0_tpos,axiom,
ord_less_eq_int @ one_one_int @ t ).
thf(zip_derived_cl0,plain,
ord_less_eq_int @ one_one_int @ t,
inference(cnf,[status(esa)],[fact_0_tpos]) ).
thf(zip_derived_cl1575_026,plain,
( ( '#_fresh_sk3' @ one_one_real )
= one_one_int ),
inference('sup+',[status(thm)],[zip_derived_cl986,zip_derived_cl1545]) ).
thf(zip_derived_cl1577,plain,
ord_less_eq_int @ ( '#_fresh_sk3' @ one_one_real ) @ t,
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl1575]) ).
thf(fact_37_zless__le,axiom,
! [Z_1: int,W_1: int] :
( ( ord_less_int @ Z_1 @ W_1 )
<=> ( ( ord_less_eq_int @ Z_1 @ W_1 )
& ( Z_1 != W_1 ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: int,X1: int] :
( ( ord_less_int @ X0 @ X1 )
| ( X0 = X1 )
| ~ ( ord_less_eq_int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_37_zless__le]) ).
thf(zip_derived_cl2184,plain,
( ( ( '#_fresh_sk3' @ one_one_real )
= t )
| ( ord_less_int @ ( '#_fresh_sk3' @ one_one_real ) @ t ) ),
inference('sup-',[status(thm)],[zip_derived_cl1577,zip_derived_cl39]) ).
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,
( ( ord_less_int @ one_one_int @ t )
=> ? [X: int,Y: int] :
( ( plus_plus_int @ ( power_power_int @ X @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ) ).
thf(zip_derived_cl2,plain,
( ( ( plus_plus_int @ ( power_power_int @ sk__2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ sk__3 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) )
| ~ ( 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_cl450_027,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(zip_derived_cl957_028,plain,
( ( bit1 @ zero_zero_int )
= one_one_int ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl450,zip_derived_cl178]) ).
thf(zip_derived_cl450_029,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(zip_derived_cl957_030,plain,
( ( bit1 @ zero_zero_int )
= one_one_int ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl450,zip_derived_cl178]) ).
thf(zip_derived_cl450_031,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(zip_derived_cl957_032,plain,
( ( bit1 @ zero_zero_int )
= one_one_int ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl450,zip_derived_cl178]) ).
thf(zip_derived_cl178_033,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_142_number__of__is__id]) ).
thf(zip_derived_cl972,plain,
( ( ( plus_plus_int @ ( power_power_int @ sk__2 @ ( number_number_of_nat @ ( bit0 @ one_one_int ) ) ) @ ( power_power_int @ sk__3 @ ( number_number_of_nat @ ( bit0 @ one_one_int ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ one_one_int ) ) @ m ) @ one_one_int ) )
| ~ ( ord_less_int @ one_one_int @ t ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl450,zip_derived_cl957,zip_derived_cl450,zip_derived_cl957,zip_derived_cl450,zip_derived_cl957,zip_derived_cl178]) ).
thf(fact_14_power2__eq__square__number__of,axiom,
! [W_15: int] :
( ( power_power_int @ ( number_number_of_int @ W_15 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= ( times_times_int @ ( number_number_of_int @ W_15 ) @ ( number_number_of_int @ W_15 ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: int] :
( ( power_power_int @ ( number_number_of_int @ X0 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= ( times_times_int @ ( number_number_of_int @ X0 ) @ ( number_number_of_int @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_14_power2__eq__square__number__of]) ).
thf(zip_derived_cl178_034,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_142_number__of__is__id]) ).
thf(zip_derived_cl450_035,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(zip_derived_cl957_036,plain,
( ( bit1 @ zero_zero_int )
= one_one_int ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl450,zip_derived_cl178]) ).
thf(zip_derived_cl178_037,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_142_number__of__is__id]) ).
thf(zip_derived_cl178_038,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_142_number__of__is__id]) ).
thf(zip_derived_cl1305,plain,
! [X0: int] :
( ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ one_one_int ) ) )
= ( times_times_int @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl178,zip_derived_cl450,zip_derived_cl957,zip_derived_cl178,zip_derived_cl178]) ).
thf(zip_derived_cl1305_039,plain,
! [X0: int] :
( ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ one_one_int ) ) )
= ( times_times_int @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl178,zip_derived_cl450,zip_derived_cl957,zip_derived_cl178,zip_derived_cl178]) ).
thf(zip_derived_cl1306,plain,
( ( ( plus_plus_int @ ( times_times_int @ sk__2 @ sk__2 ) @ ( times_times_int @ sk__3 @ sk__3 ) )
= ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ one_one_int ) ) @ m ) @ one_one_int ) )
| ~ ( ord_less_int @ one_one_int @ t ) ),
inference(demod,[status(thm)],[zip_derived_cl972,zip_derived_cl1305,zip_derived_cl1305]) ).
thf(zip_derived_cl1575_040,plain,
( ( '#_fresh_sk3' @ one_one_real )
= one_one_int ),
inference('sup+',[status(thm)],[zip_derived_cl986,zip_derived_cl1545]) ).
thf(zip_derived_cl274_041,plain,
! [X0: int] :
( ( bit0 @ X0 )
= ( plus_plus_int @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_204_Bit0__def]) ).
thf(zip_derived_cl143_042,plain,
! [X0: int,X1: int] :
( ( times_times_int @ X1 @ X0 )
= ( times_times_int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_114_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J]) ).
thf(zip_derived_cl1575_043,plain,
( ( '#_fresh_sk3' @ one_one_real )
= one_one_int ),
inference('sup+',[status(thm)],[zip_derived_cl986,zip_derived_cl1545]) ).
thf(zip_derived_cl161_044,plain,
! [X0: int,X1: int] :
( ( plus_plus_int @ X1 @ X0 )
= ( plus_plus_int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
thf(zip_derived_cl1575_045,plain,
( ( '#_fresh_sk3' @ one_one_real )
= one_one_int ),
inference('sup+',[status(thm)],[zip_derived_cl986,zip_derived_cl1545]) ).
thf(zip_derived_cl8558,plain,
( ( ( plus_plus_int @ ( times_times_int @ sk__2 @ sk__2 ) @ ( times_times_int @ sk__3 @ sk__3 ) )
= ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( times_times_int @ m @ ( bit0 @ ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( '#_fresh_sk3' @ one_one_real ) ) ) ) ) )
| ~ ( ord_less_int @ ( '#_fresh_sk3' @ one_one_real ) @ t ) ),
inference(demod,[status(thm)],[zip_derived_cl1306,zip_derived_cl1575,zip_derived_cl274,zip_derived_cl143,zip_derived_cl1575,zip_derived_cl161,zip_derived_cl1575]) ).
thf(zip_derived_cl1305_046,plain,
! [X0: int] :
( ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ one_one_int ) ) )
= ( times_times_int @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl178,zip_derived_cl450,zip_derived_cl957,zip_derived_cl178,zip_derived_cl178]) ).
thf(zip_derived_cl1575_047,plain,
( ( '#_fresh_sk3' @ one_one_real )
= one_one_int ),
inference('sup+',[status(thm)],[zip_derived_cl986,zip_derived_cl1545]) ).
thf(zip_derived_cl274_048,plain,
! [X0: int] :
( ( bit0 @ X0 )
= ( plus_plus_int @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_204_Bit0__def]) ).
thf(zip_derived_cl1621,plain,
! [X0: int] :
( ( power_power_int @ X0 @ ( number_number_of_nat @ ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( '#_fresh_sk3' @ one_one_real ) ) ) )
= ( times_times_int @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1305,zip_derived_cl1575,zip_derived_cl274]) ).
thf(zip_derived_cl3246_049,plain,
( ( plus_plus_nat @ one_one_nat @ one_one_nat )
= ( number_number_of_nat @ ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( '#_fresh_sk3' @ one_one_real ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl1786,zip_derived_cl1716,zip_derived_cl274]) ).
thf(zip_derived_cl24696,plain,
! [X0: int] :
( ( power_power_int @ X0 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) )
= ( times_times_int @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1621,zip_derived_cl3246]) ).
thf(zip_derived_cl24696_050,plain,
! [X0: int] :
( ( power_power_int @ X0 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) )
= ( times_times_int @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1621,zip_derived_cl3246]) ).
thf(zip_derived_cl24697,plain,
( ( ( plus_plus_int @ ( power_power_int @ sk__2 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) @ ( power_power_int @ sk__3 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) )
= ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( times_times_int @ m @ ( bit0 @ ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( '#_fresh_sk3' @ one_one_real ) ) ) ) ) )
| ~ ( ord_less_int @ ( '#_fresh_sk3' @ one_one_real ) @ t ) ),
inference(demod,[status(thm)],[zip_derived_cl8558,zip_derived_cl24696,zip_derived_cl24696]) ).
thf(conj_0,conjecture,
? [X: int,Y: int] :
( ( plus_plus_int @ ( power_power_int @ X @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_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] :
( ( plus_plus_int @ ( power_power_int @ X @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_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_cl934,plain,
! [X0: int,X1: int] :
( ( plus_plus_int @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
!= ( plus_plus_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_cl1786_051,plain,
( pls
= ( '#_fresh_sk1' @ ( '#_fresh_sk3' @ one_one_real ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1648,zip_derived_cl1715]) ).
thf(zip_derived_cl1716_052,plain,
( ( bit1 @ ( '#_fresh_sk1' @ ( '#_fresh_sk3' @ one_one_real ) ) )
= ( '#_fresh_sk3' @ one_one_real ) ),
inference(demod,[status(thm)],[zip_derived_cl1593,zip_derived_cl1602]) ).
thf(zip_derived_cl274_053,plain,
! [X0: int] :
( ( bit0 @ X0 )
= ( plus_plus_int @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_204_Bit0__def]) ).
thf(zip_derived_cl3246_054,plain,
( ( plus_plus_nat @ one_one_nat @ one_one_nat )
= ( number_number_of_nat @ ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( '#_fresh_sk3' @ one_one_real ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl1786,zip_derived_cl1716,zip_derived_cl274]) ).
thf(zip_derived_cl1786_055,plain,
( pls
= ( '#_fresh_sk1' @ ( '#_fresh_sk3' @ one_one_real ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1648,zip_derived_cl1715]) ).
thf(zip_derived_cl1716_056,plain,
( ( bit1 @ ( '#_fresh_sk1' @ ( '#_fresh_sk3' @ one_one_real ) ) )
= ( '#_fresh_sk3' @ one_one_real ) ),
inference(demod,[status(thm)],[zip_derived_cl1593,zip_derived_cl1602]) ).
thf(zip_derived_cl274_057,plain,
! [X0: int] :
( ( bit0 @ X0 )
= ( plus_plus_int @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_204_Bit0__def]) ).
thf(zip_derived_cl3246_058,plain,
( ( plus_plus_nat @ one_one_nat @ one_one_nat )
= ( number_number_of_nat @ ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( '#_fresh_sk3' @ one_one_real ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl1786,zip_derived_cl1716,zip_derived_cl274]) ).
thf(zip_derived_cl1786_059,plain,
( pls
= ( '#_fresh_sk1' @ ( '#_fresh_sk3' @ one_one_real ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1648,zip_derived_cl1715]) ).
thf(zip_derived_cl1716_060,plain,
( ( bit1 @ ( '#_fresh_sk1' @ ( '#_fresh_sk3' @ one_one_real ) ) )
= ( '#_fresh_sk3' @ one_one_real ) ),
inference(demod,[status(thm)],[zip_derived_cl1593,zip_derived_cl1602]) ).
thf(zip_derived_cl274_061,plain,
! [X0: int] :
( ( bit0 @ X0 )
= ( plus_plus_int @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_204_Bit0__def]) ).
thf(zip_derived_cl178_062,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_142_number__of__is__id]) ).
thf(zip_derived_cl143_063,plain,
! [X0: int,X1: int] :
( ( times_times_int @ X1 @ X0 )
= ( times_times_int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_114_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J]) ).
thf(zip_derived_cl1575_064,plain,
( ( '#_fresh_sk3' @ one_one_real )
= one_one_int ),
inference('sup+',[status(thm)],[zip_derived_cl986,zip_derived_cl1545]) ).
thf(zip_derived_cl161_065,plain,
! [X0: int,X1: int] :
( ( plus_plus_int @ X1 @ X0 )
= ( plus_plus_int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
thf(zip_derived_cl10310,plain,
! [X0: int,X1: int] :
( ( plus_plus_int @ ( power_power_int @ X0 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) @ ( power_power_int @ X1 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) )
!= ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( times_times_int @ m @ ( bit0 @ ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( '#_fresh_sk3' @ one_one_real ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl934,zip_derived_cl1786,zip_derived_cl1716,zip_derived_cl274,zip_derived_cl3246,zip_derived_cl1786,zip_derived_cl1716,zip_derived_cl274,zip_derived_cl3246,zip_derived_cl1786,zip_derived_cl1716,zip_derived_cl274,zip_derived_cl178,zip_derived_cl143,zip_derived_cl1575,zip_derived_cl161]) ).
thf(zip_derived_cl24698,plain,
~ ( ord_less_int @ ( '#_fresh_sk3' @ one_one_real ) @ t ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24697,zip_derived_cl10310]) ).
thf(zip_derived_cl24978,plain,
( ( '#_fresh_sk3' @ one_one_real )
= t ),
inference('sup-',[status(thm)],[zip_derived_cl2184,zip_derived_cl24698]) ).
thf(zip_derived_cl25012,plain,
( ( ( plus_plus_int @ ( power_power_int @ sk_ @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) @ ( power_power_int @ sk__1 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) )
= ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( times_times_int @ m @ ( bit0 @ ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( '#_fresh_sk3' @ one_one_real ) ) ) ) ) )
| ( ( '#_fresh_sk3' @ one_one_real )
!= ( '#_fresh_sk3' @ one_one_real ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8557,zip_derived_cl24978]) ).
thf(zip_derived_cl25013,plain,
( ( plus_plus_int @ ( power_power_int @ sk_ @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) @ ( power_power_int @ sk__1 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) )
= ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( times_times_int @ m @ ( bit0 @ ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( '#_fresh_sk3' @ one_one_real ) ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl25012]) ).
thf(zip_derived_cl10310_066,plain,
! [X0: int,X1: int] :
( ( plus_plus_int @ ( power_power_int @ X0 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) @ ( power_power_int @ X1 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) )
!= ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( times_times_int @ m @ ( bit0 @ ( plus_plus_int @ ( '#_fresh_sk3' @ one_one_real ) @ ( '#_fresh_sk3' @ one_one_real ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl934,zip_derived_cl1786,zip_derived_cl1716,zip_derived_cl274,zip_derived_cl3246,zip_derived_cl1786,zip_derived_cl1716,zip_derived_cl274,zip_derived_cl3246,zip_derived_cl1786,zip_derived_cl1716,zip_derived_cl274,zip_derived_cl178,zip_derived_cl143,zip_derived_cl1575,zip_derived_cl161]) ).
thf(zip_derived_cl25014,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25013,zip_derived_cl10310]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM926_2 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oFqEwZOP6l true
% 0.13/0.35 % Computer : n031.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 17:00:52 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.81 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.05/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.05/0.82 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.05/0.82 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.05/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.05/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 36.33/5.89 % Solved by fo/fo5.sh.
% 36.33/5.89 % done 3674 iterations in 5.043s
% 36.33/5.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 36.33/5.89 % SZS output start Refutation
% See solution above
% 36.33/5.89
% 36.33/5.89
% 36.33/5.89 % Terminating...
% 36.91/5.99 % Runner terminated.
% 36.95/6.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------