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.PSn1fLHyav true
% Computer : n022.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 90.80s 13.70s
% Output : Refutation 90.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 34
% Syntax : Number of formulae : 131 ( 78 unt; 19 typ; 0 def)
% Number of atoms : 158 ( 124 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 1325 ( 30 ~; 14 |; 6 &;1249 @)
% ( 1 <=>; 3 =>; 22 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 10 con; 0-2 aty)
% Number of variables : 68 ( 0 ^; 60 !; 8 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i ).
thf(number_number_of_int_type,type,
number_number_of_int: $i > $i ).
thf(power_power_int_type,type,
power_power_int: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(ord_less_int_type,type,
ord_less_int: $i > $i > $o ).
thf(is_int_type,type,
is_int: $i > $o ).
thf(zero_zero_int_type,type,
zero_zero_int: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(t_type,type,
t: $i ).
thf(number_number_of_nat_type,type,
number_number_of_nat: $i > $i ).
thf(times_times_int_type,type,
times_times_int: $i > $i > $i ).
thf(m_type,type,
m: $i ).
thf(ord_less_eq_int_type,type,
ord_less_eq_int: $i > $i > $o ).
thf(bit1_type,type,
bit1: $i > $i ).
thf(bit0_type,type,
bit0: $i > $i ).
thf(pls_type,type,
pls: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(plus_plus_int_type,type,
plus_plus_int: $i > $i > $i ).
thf(one_one_int_type,type,
one_one_int: $i ).
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: $i,Y: $i] :
( ( ( 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 ) )
& ( is_int @ Y )
& ( is_int @ X ) ) ) ).
thf(zip_derived_cl22,plain,
( ( is_int @ sk__2 )
| ~ ( 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_cl970,plain,
( ~ ( ord_less_int @ one_one_int @ t )
<= ~ ( ord_less_int @ one_one_int @ t ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl24,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_cl974,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 ) )
<= ( ( 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 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(fact_356_Pls__def,axiom,
pls = zero_zero_int ).
thf(zip_derived_cl475,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(zip_derived_cl475_001,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(zip_derived_cl475_002,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(zip_derived_cl983,plain,
( ( ( plus_plus_int @ ( power_power_int @ sk__2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ ( power_power_int @ sk__3 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) @ one_one_int ) )
<= ( ( 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 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl974,zip_derived_cl475,zip_derived_cl475,zip_derived_cl475]) ).
thf(conj_0,conjecture,
? [X: $i,Y: $i] :
( ( 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: $i,Y: $i] :
( ( 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_cl963,plain,
! [X0: $i,X1: $i] :
( ( 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_cl475_003,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(zip_derived_cl475_004,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(zip_derived_cl475_005,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(fact_268_double__number__of__Bit0,axiom,
! [W_5: $i] :
( ( times_times_int @ ( plus_plus_int @ one_one_int @ one_one_int ) @ ( number_number_of_int @ W_5 ) )
= ( number_number_of_int @ ( bit0 @ W_5 ) ) ) ).
thf(zip_derived_cl361,plain,
! [X0: $i] :
( ( times_times_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_268_double__number__of__Bit0]) ).
thf(fact_204_Bit0__def,axiom,
! [K: $i] :
( ( bit0 @ K )
= ( plus_plus_int @ K @ K ) ) ).
thf(zip_derived_cl297,plain,
! [X0: $i] :
( ( bit0 @ X0 )
= ( plus_plus_int @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_204_Bit0__def]) ).
thf(zip_derived_cl1491,plain,
! [X0: $i] :
( ( times_times_int @ ( bit0 @ one_one_int ) @ ( number_number_of_int @ X0 ) )
= ( number_number_of_int @ ( bit0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl361,zip_derived_cl297]) ).
thf(fact_232_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
! [M_9: $i] :
( ( plus_plus_int @ M_9 @ M_9 )
= ( times_times_int @ ( plus_plus_int @ one_one_int @ one_one_int ) @ M_9 ) ) ).
thf(zip_derived_cl325,plain,
! [X0: $i] :
( ( plus_plus_int @ X0 @ X0 )
= ( times_times_int @ ( plus_plus_int @ one_one_int @ one_one_int ) @ X0 ) ),
inference(cnf,[status(esa)],[fact_232_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J]) ).
thf(zip_derived_cl297_006,plain,
! [X0: $i] :
( ( bit0 @ X0 )
= ( plus_plus_int @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_204_Bit0__def]) ).
thf(zip_derived_cl297_007,plain,
! [X0: $i] :
( ( bit0 @ X0 )
= ( plus_plus_int @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_204_Bit0__def]) ).
thf(zip_derived_cl1490,plain,
! [X0: $i] :
( ( bit0 @ X0 )
= ( times_times_int @ ( bit0 @ one_one_int ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl297,zip_derived_cl297]) ).
thf(zip_derived_cl4521,plain,
! [X0: $i] :
( ( bit0 @ ( number_number_of_int @ X0 ) )
= ( number_number_of_int @ ( bit0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1491,zip_derived_cl1490]) ).
thf(fact_33_one__add__one__is__two,axiom,
( ( plus_plus_int @ one_one_int @ one_one_int )
= ( number_number_of_int @ ( bit0 @ ( bit1 @ pls ) ) ) ) ).
thf(zip_derived_cl55,plain,
( ( plus_plus_int @ one_one_int @ one_one_int )
= ( number_number_of_int @ ( bit0 @ ( bit1 @ pls ) ) ) ),
inference(cnf,[status(esa)],[fact_33_one__add__one__is__two]) ).
thf(zip_derived_cl475_008,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(zip_derived_cl1000,plain,
( ( plus_plus_int @ one_one_int @ one_one_int )
= ( number_number_of_int @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl475]) ).
thf(zip_derived_cl297_009,plain,
! [X0: $i] :
( ( bit0 @ X0 )
= ( plus_plus_int @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_204_Bit0__def]) ).
thf(zip_derived_cl1492,plain,
( ( bit0 @ one_one_int )
= ( number_number_of_int @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1000,zip_derived_cl297]) ).
thf(fact_114_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
! [A_56: $i,B_17: $i] :
( ( times_times_int @ A_56 @ B_17 )
= ( times_times_int @ B_17 @ A_56 ) ) ).
thf(zip_derived_cl166,plain,
! [X0: $i,X1: $i] :
( ( 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(fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [A_50: $i,C_5: $i] :
( ( plus_plus_int @ A_50 @ C_5 )
= ( plus_plus_int @ C_5 @ A_50 ) ) ).
thf(zip_derived_cl184,plain,
! [X0: $i,X1: $i] :
( ( 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_cl43428,plain,
! [X0: $i,X1: $i] :
( ( plus_plus_int @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) )
!= ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ one_one_int ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl963,zip_derived_cl475,zip_derived_cl475,zip_derived_cl475,zip_derived_cl4521,zip_derived_cl1492,zip_derived_cl166,zip_derived_cl184]) ).
thf(zip_derived_cl43434,plain,
( ( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) @ one_one_int )
!= ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ one_one_int ) ) ) ) )
<= ( ( 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 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl983,zip_derived_cl43428]) ).
thf(zip_derived_cl4521_010,plain,
! [X0: $i] :
( ( bit0 @ ( number_number_of_int @ X0 ) )
= ( number_number_of_int @ ( bit0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1491,zip_derived_cl1490]) ).
thf(zip_derived_cl1492_011,plain,
( ( bit0 @ one_one_int )
= ( number_number_of_int @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1000,zip_derived_cl297]) ).
thf(zip_derived_cl166_012,plain,
! [X0: $i,X1: $i] :
( ( 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_cl184_013,plain,
! [X0: $i,X1: $i] :
( ( 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(fact_21_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
! [X_21: $i] :
( ( times_times_int @ X_21 @ X_21 )
= ( power_power_int @ X_21 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ( times_times_int @ X0 @ X0 )
= ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ),
inference(cnf,[status(esa)],[fact_21_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J]) ).
thf(zip_derived_cl475_014,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(zip_derived_cl1093,plain,
! [X0: $i] :
( ( times_times_int @ X0 @ X0 )
= ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl475]) ).
thf(zip_derived_cl983_015,plain,
( ( ( plus_plus_int @ ( power_power_int @ sk__2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ ( power_power_int @ sk__3 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) @ one_one_int ) )
<= ( ( 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 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl974,zip_derived_cl475,zip_derived_cl475,zip_derived_cl475]) ).
thf(zip_derived_cl1101,plain,
( ( ( plus_plus_int @ ( times_times_int @ sk__2 @ sk__2 ) @ ( power_power_int @ sk__3 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) @ one_one_int ) )
<= ( ( 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 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1093,zip_derived_cl983]) ).
thf(zip_derived_cl1093_016,plain,
! [X0: $i] :
( ( times_times_int @ X0 @ X0 )
= ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl475]) ).
thf(zip_derived_cl1000_017,plain,
( ( plus_plus_int @ one_one_int @ one_one_int )
= ( number_number_of_int @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl475]) ).
thf(zip_derived_cl361_018,plain,
! [X0: $i] :
( ( times_times_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_268_double__number__of__Bit0]) ).
thf(zip_derived_cl1052,plain,
( ( times_times_int @ ( plus_plus_int @ one_one_int @ one_one_int ) @ ( plus_plus_int @ one_one_int @ one_one_int ) )
= ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1000,zip_derived_cl361]) ).
thf(zip_derived_cl1108,plain,
( ( ( plus_plus_int @ ( times_times_int @ sk__2 @ sk__2 ) @ ( times_times_int @ sk__3 @ sk__3 ) )
= ( plus_plus_int @ ( times_times_int @ ( times_times_int @ ( plus_plus_int @ one_one_int @ one_one_int ) @ ( plus_plus_int @ one_one_int @ one_one_int ) ) @ m ) @ one_one_int ) )
<= ( ( 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 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1101,zip_derived_cl1093,zip_derived_cl1052]) ).
thf(zip_derived_cl297_019,plain,
! [X0: $i] :
( ( bit0 @ X0 )
= ( plus_plus_int @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_204_Bit0__def]) ).
thf(zip_derived_cl297_020,plain,
! [X0: $i] :
( ( bit0 @ X0 )
= ( plus_plus_int @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_204_Bit0__def]) ).
thf(zip_derived_cl1490_021,plain,
! [X0: $i] :
( ( bit0 @ X0 )
= ( times_times_int @ ( bit0 @ one_one_int ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl297,zip_derived_cl297]) ).
thf(zip_derived_cl166_022,plain,
! [X0: $i,X1: $i] :
( ( 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_cl184_023,plain,
! [X0: $i,X1: $i] :
( ( 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_cl1713,plain,
( ( ( plus_plus_int @ ( times_times_int @ sk__2 @ sk__2 ) @ ( times_times_int @ sk__3 @ sk__3 ) )
= ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ one_one_int ) ) ) ) )
<= ( ( 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 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1108,zip_derived_cl297,zip_derived_cl297,zip_derived_cl1490,zip_derived_cl166,zip_derived_cl184]) ).
thf(zip_derived_cl1713_024,plain,
( ( ( plus_plus_int @ ( times_times_int @ sk__2 @ sk__2 ) @ ( times_times_int @ sk__3 @ sk__3 ) )
= ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ one_one_int ) ) ) ) )
<= ( ( 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 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1108,zip_derived_cl297,zip_derived_cl297,zip_derived_cl1490,zip_derived_cl166,zip_derived_cl184]) ).
thf(zip_derived_cl43461,plain,
( ( ( plus_plus_int @ ( times_times_int @ sk__2 @ sk__2 ) @ ( times_times_int @ sk__3 @ sk__3 ) )
!= ( plus_plus_int @ ( times_times_int @ sk__2 @ sk__2 ) @ ( times_times_int @ sk__3 @ sk__3 ) ) )
<= ( ( 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 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl43434,zip_derived_cl4521,zip_derived_cl1492,zip_derived_cl166,zip_derived_cl184,zip_derived_cl1713,zip_derived_cl1713]) ).
thf('0',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 ) ),
inference(simplify,[status(thm)],[zip_derived_cl43461]) ).
thf('1',plain,
( ~ ( ord_less_int @ one_one_int @ t )
| ( ( 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 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf('2',plain,
~ ( ord_less_int @ one_one_int @ t ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl43521,plain,
~ ( ord_less_int @ one_one_int @ t ),
inference(simpl_trail,[status(thm)],[zip_derived_cl970,'2']) ).
thf(fact_0_tpos,axiom,
ord_less_eq_int @ one_one_int @ t ).
thf(zip_derived_cl18,plain,
ord_less_eq_int @ one_one_int @ t,
inference(cnf,[status(esa)],[fact_0_tpos]) ).
thf(fact_37_zless__le,axiom,
! [Z_1: $i,W_1: $i] :
( ( ( is_int @ Z_1 )
& ( is_int @ W_1 ) )
=> ( ( ord_less_int @ Z_1 @ W_1 )
<=> ( ( ord_less_eq_int @ Z_1 @ W_1 )
& ( Z_1 != W_1 ) ) ) ) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i] :
( ~ ( is_int @ X0 )
| ~ ( is_int @ X1 )
| ( ord_less_int @ X0 @ X1 )
| ( X0 = X1 )
| ~ ( ord_less_eq_int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_37_zless__le]) ).
thf(zip_derived_cl1842,plain,
( ~ ( is_int @ one_one_int )
| ~ ( is_int @ t )
| ( ord_less_int @ one_one_int @ t )
| ( one_one_int = t ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl62]) ).
thf(gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint,axiom,
is_int @ one_one_int ).
thf(zip_derived_cl1,plain,
is_int @ one_one_int,
inference(cnf,[status(esa)],[gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint]) ).
thf(gsy_v_t____,axiom,
is_int @ t ).
thf(zip_derived_cl17,plain,
is_int @ t,
inference(cnf,[status(esa)],[gsy_v_t____]) ).
thf(zip_derived_cl1850,plain,
( ( ord_less_int @ one_one_int @ t )
| ( one_one_int = t ) ),
inference(demod,[status(thm)],[zip_derived_cl1842,zip_derived_cl1,zip_derived_cl17]) ).
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: $i,Y: $i] :
( ( ( 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 ) )
& ( is_int @ Y )
& ( is_int @ X ) ) ) ).
thf(zip_derived_cl19,plain,
( ( is_int @ sk_ )
| ( 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(zip_derived_cl965,plain,
( ( t != one_one_int )
<= ( t != one_one_int ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl21,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(zip_derived_cl968,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 ) )
<= ( ( 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 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl475_025,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(zip_derived_cl475_026,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(zip_derived_cl475_027,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_356_Pls__def]) ).
thf(zip_derived_cl982,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 @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) @ one_one_int ) )
<= ( ( 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 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl968,zip_derived_cl475,zip_derived_cl475,zip_derived_cl475]) ).
thf(zip_derived_cl43428_028,plain,
! [X0: $i,X1: $i] :
( ( plus_plus_int @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) )
!= ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ one_one_int ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl963,zip_derived_cl475,zip_derived_cl475,zip_derived_cl475,zip_derived_cl4521,zip_derived_cl1492,zip_derived_cl166,zip_derived_cl184]) ).
thf(zip_derived_cl43433,plain,
( ( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) @ one_one_int )
!= ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ one_one_int ) ) ) ) )
<= ( ( 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 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl982,zip_derived_cl43428]) ).
thf(zip_derived_cl4521_029,plain,
! [X0: $i] :
( ( bit0 @ ( number_number_of_int @ X0 ) )
= ( number_number_of_int @ ( bit0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1491,zip_derived_cl1490]) ).
thf(zip_derived_cl1492_030,plain,
( ( bit0 @ one_one_int )
= ( number_number_of_int @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1000,zip_derived_cl297]) ).
thf(zip_derived_cl166_031,plain,
! [X0: $i,X1: $i] :
( ( 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_cl184_032,plain,
! [X0: $i,X1: $i] :
( ( 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_cl297_033,plain,
! [X0: $i] :
( ( bit0 @ X0 )
= ( plus_plus_int @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_204_Bit0__def]) ).
thf(zip_derived_cl1093_034,plain,
! [X0: $i] :
( ( times_times_int @ X0 @ X0 )
= ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl475]) ).
thf(zip_derived_cl982_035,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 @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) @ one_one_int ) )
<= ( ( 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 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl968,zip_derived_cl475,zip_derived_cl475,zip_derived_cl475]) ).
thf(zip_derived_cl1097,plain,
( ( ( plus_plus_int @ ( times_times_int @ sk_ @ sk_ ) @ ( power_power_int @ sk__1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) @ one_one_int ) )
<= ( ( 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 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1093,zip_derived_cl982]) ).
thf(zip_derived_cl1093_036,plain,
! [X0: $i] :
( ( times_times_int @ X0 @ X0 )
= ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl475]) ).
thf(zip_derived_cl1052_037,plain,
( ( times_times_int @ ( plus_plus_int @ one_one_int @ one_one_int ) @ ( plus_plus_int @ one_one_int @ one_one_int ) )
= ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1000,zip_derived_cl361]) ).
thf(zip_derived_cl1106,plain,
( ( ( plus_plus_int @ ( times_times_int @ sk_ @ sk_ ) @ ( times_times_int @ sk__1 @ sk__1 ) )
= ( plus_plus_int @ ( times_times_int @ ( times_times_int @ ( plus_plus_int @ one_one_int @ one_one_int ) @ ( plus_plus_int @ one_one_int @ one_one_int ) ) @ m ) @ one_one_int ) )
<= ( ( 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 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1097,zip_derived_cl1093,zip_derived_cl1052]) ).
thf(zip_derived_cl1509,plain,
( ( ( plus_plus_int @ ( times_times_int @ sk_ @ sk_ ) @ ( times_times_int @ sk__1 @ sk__1 ) )
= ( plus_plus_int @ ( times_times_int @ ( times_times_int @ ( bit0 @ one_one_int ) @ ( bit0 @ one_one_int ) ) @ m ) @ one_one_int ) )
<= ( ( 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 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl297,zip_derived_cl1106]) ).
thf(zip_derived_cl166_038,plain,
! [X0: $i,X1: $i] :
( ( 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_cl184_039,plain,
! [X0: $i,X1: $i] :
( ( 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_cl1521,plain,
( ( ( plus_plus_int @ ( times_times_int @ sk_ @ sk_ ) @ ( times_times_int @ sk__1 @ sk__1 ) )
= ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( times_times_int @ ( bit0 @ one_one_int ) @ ( bit0 @ one_one_int ) ) ) ) )
<= ( ( 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 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1509,zip_derived_cl166,zip_derived_cl184]) ).
thf(zip_derived_cl1490_040,plain,
! [X0: $i] :
( ( bit0 @ X0 )
= ( times_times_int @ ( bit0 @ one_one_int ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl297,zip_derived_cl297]) ).
thf(zip_derived_cl1613,plain,
( ( ( plus_plus_int @ ( times_times_int @ sk_ @ sk_ ) @ ( times_times_int @ sk__1 @ sk__1 ) )
= ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ one_one_int ) ) ) ) )
<= ( ( 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 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1521,zip_derived_cl1490]) ).
thf(zip_derived_cl1613_041,plain,
( ( ( plus_plus_int @ ( times_times_int @ sk_ @ sk_ ) @ ( times_times_int @ sk__1 @ sk__1 ) )
= ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ one_one_int ) ) ) ) )
<= ( ( 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 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1521,zip_derived_cl1490]) ).
thf(zip_derived_cl43459,plain,
( ( ( plus_plus_int @ ( times_times_int @ sk_ @ sk_ ) @ ( times_times_int @ sk__1 @ sk__1 ) )
!= ( plus_plus_int @ ( times_times_int @ sk_ @ sk_ ) @ ( times_times_int @ sk__1 @ sk__1 ) ) )
<= ( ( 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 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl43433,zip_derived_cl4521,zip_derived_cl1492,zip_derived_cl166,zip_derived_cl184,zip_derived_cl1613,zip_derived_cl1613]) ).
thf('3',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 ) ),
inference(simplify,[status(thm)],[zip_derived_cl43459]) ).
thf('4',plain,
( ( t != one_one_int )
| ( ( 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 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf('5',plain,
t != one_one_int,
inference('sat_resolution*',[status(thm)],['3','4']) ).
thf(zip_derived_cl43520,plain,
t != one_one_int,
inference(simpl_trail,[status(thm)],[zip_derived_cl965,'5']) ).
thf(zip_derived_cl60653,plain,
ord_less_int @ one_one_int @ t,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1850,zip_derived_cl43520]) ).
thf(zip_derived_cl60654,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl43521,zip_derived_cl60653]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM926+2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PSn1fLHyav true
% 0.13/0.35 % Computer : n022.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 08:47:40 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
% 0.13/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 90.80/13.70 % Solved by fo/fo1_av.sh.
% 90.80/13.70 % done 6814 iterations in 12.924s
% 90.80/13.70 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 90.80/13.70 % SZS output start Refutation
% See solution above
% 90.80/13.70
% 90.80/13.70
% 90.80/13.70 % Terminating...
% 90.80/13.85 % Runner terminated.
% 90.80/13.87 % Zipperpin 1.5 exiting
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