TSTP Solution File: NUM926^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM926^1 : 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.iaWLVHhmTT true
% Computer : n021.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 12:44:55 EDT 2023
% Result : Theorem 4.30s 0.97s
% Output : Refutation 4.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 30
% Syntax : Number of formulae : 109 ( 51 unt; 19 typ; 0 def)
% Number of atoms : 163 ( 93 equ; 3 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 960 ( 37 ~; 29 |; 0 &; 857 @)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 17 usr; 11 con; 0-2 aty)
% ( 14 !!; 15 ??; 0 @@+; 0 @@-)
% Number of variables : 106 ( 29 ^; 69 !; 8 ?; 106 :)
% Comments :
%------------------------------------------------------------------------------
thf(int_type,type,
int: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(number_number_of_nat_type,type,
number_number_of_nat: int > nat ).
thf(t_type,type,
t: int ).
thf(plus_plus_int_type,type,
plus_plus_int: int > int > int ).
thf('#sk1_type',type,
'#sk1': int ).
thf(pls_type,type,
pls: int ).
thf(ord_less_eq_int_type,type,
ord_less_eq_int: int > int > $o ).
thf(power_power_int_type,type,
power_power_int: int > nat > int ).
thf(one_one_int_type,type,
one_one_int: int ).
thf(times_times_int_type,type,
times_times_int: int > int > int ).
thf(bit0_type,type,
bit0: int > int ).
thf(m_type,type,
m: int ).
thf(plus_plus_nat_type,type,
plus_plus_nat: nat > nat > nat ).
thf(one_one_nat_type,type,
one_one_nat: nat ).
thf(bit1_type,type,
bit1: int > int ).
thf('#sk2_type',type,
'#sk2': int ).
thf(number_number_of_int_type,type,
number_number_of_int: int > int ).
thf(ord_less_int_type,type,
ord_less_int: int > int > $o ).
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,
( ( ord_less_int @ one_one_int @ t )
=> ( ??
@ ^ [Y0: int] :
( ??
@ ^ [Y1: int] :
( ( plus_plus_int @ ( power_power_int @ Y0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y1 @ ( 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)],[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_cl151,plain,
( ~ ( ord_less_int @ one_one_int @ t )
| ( ??
@ ^ [Y0: int] :
( ??
@ ^ [Y1: int] :
( ( plus_plus_int @ ( power_power_int @ Y0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y1 @ ( 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(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl152,plain,
( ( ??
@ ^ [Y0: int] :
( ( plus_plus_int @ ( power_power_int @ '#sk1' @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y0 @ ( 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(lazy_cnf_exists,[status(thm)],[zip_derived_cl151]) ).
thf(zip_derived_cl153,plain,
( ( ( plus_plus_int @ ( power_power_int @ '#sk1' @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ '#sk2' @ ( 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(lazy_cnf_exists,[status(thm)],[zip_derived_cl152]) ).
thf(zip_derived_cl154,plain,
( ( ( plus_plus_int @ ( power_power_int @ '#sk1' @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ '#sk2' @ ( 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('simplify nested equalities',[status(thm)],[zip_derived_cl153]) ).
thf(fact_47_nat__1__add__1,axiom,
( ( plus_plus_nat @ one_one_nat @ one_one_nat )
= ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ).
thf(zip_derived_cl45,plain,
( ( plus_plus_nat @ one_one_nat @ one_one_nat )
= ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ),
inference(cnf,[status(esa)],[fact_47_nat__1__add__1]) ).
thf(zip_derived_cl45_001,plain,
( ( plus_plus_nat @ one_one_nat @ one_one_nat )
= ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ),
inference(cnf,[status(esa)],[fact_47_nat__1__add__1]) ).
thf(fact_111_number__of__is__id,axiom,
! [K: int] :
( ( number_number_of_int @ K )
= K ) ).
thf(zip_derived_cl108,plain,
( !!
@ ^ [Y0: int] :
( ( number_number_of_int @ Y0 )
= Y0 ) ),
inference(cnf,[status(esa)],[fact_111_number__of__is__id]) ).
thf(zip_derived_cl130,plain,
! [X2: int] :
( ( number_number_of_int @ X2 )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl131,plain,
! [X2: int] :
( ( number_number_of_int @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl155,plain,
( ( ( plus_plus_int @ ( power_power_int @ '#sk1' @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) @ ( power_power_int @ '#sk2' @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) )
= ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) )
| ~ ( ord_less_int @ one_one_int @ t ) ),
inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl45,zip_derived_cl45,zip_derived_cl131]) ).
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_cl120,plain,
~ ( ??
@ ^ [Y0: int] :
( ??
@ ^ [Y1: int] :
( ( plus_plus_int @ ( power_power_int @ Y0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y1 @ ( 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_cl141,plain,
! [X2: int] :
~ ( ??
@ ^ [Y0: int] :
( ( plus_plus_int @ ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y0 @ ( 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(lazy_cnf_forall,[status(thm)],[zip_derived_cl120]) ).
thf(zip_derived_cl142,plain,
! [X2: int,X4: int] :
( ( plus_plus_int @ ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X4 @ ( 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(lazy_cnf_forall,[status(thm)],[zip_derived_cl141]) ).
thf(zip_derived_cl143,plain,
! [X2: int,X4: int] :
( ( plus_plus_int @ ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X4 @ ( 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 nested equalities',[status(thm)],[zip_derived_cl142]) ).
thf(zip_derived_cl45_002,plain,
( ( plus_plus_nat @ one_one_nat @ one_one_nat )
= ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ),
inference(cnf,[status(esa)],[fact_47_nat__1__add__1]) ).
thf(zip_derived_cl45_003,plain,
( ( plus_plus_nat @ one_one_nat @ one_one_nat )
= ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ),
inference(cnf,[status(esa)],[fact_47_nat__1__add__1]) ).
thf(zip_derived_cl131_004,plain,
! [X2: int] :
( ( number_number_of_int @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl144,plain,
! [X2: int,X4: int] :
( ( plus_plus_int @ ( power_power_int @ X2 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) @ ( power_power_int @ X4 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) )
!= ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) ),
inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl45,zip_derived_cl45,zip_derived_cl131]) ).
thf(zip_derived_cl156,plain,
~ ( ord_less_int @ one_one_int @ t ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl155,zip_derived_cl144]) ).
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(fact_38_le__number__of__eq__not__less,axiom,
! [V_2: int,W_3: int] :
( ( ord_less_eq_int @ ( number_number_of_int @ V_2 ) @ ( number_number_of_int @ W_3 ) )
<=> ~ ( ord_less_int @ ( number_number_of_int @ W_3 ) @ ( number_number_of_int @ V_2 ) ) ) ).
thf(zip_derived_cl36,plain,
( !!
@ ^ [Y0: int] :
( !!
@ ^ [Y1: int] :
( ( ord_less_eq_int @ ( number_number_of_int @ Y0 ) @ ( number_number_of_int @ Y1 ) )
<=> ( (~) @ ( ord_less_int @ ( number_number_of_int @ Y1 ) @ ( number_number_of_int @ Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_38_le__number__of__eq__not__less]) ).
thf(zip_derived_cl359,plain,
! [X2: int] :
( !!
@ ^ [Y0: int] :
( ( ord_less_eq_int @ ( number_number_of_int @ X2 ) @ ( number_number_of_int @ Y0 ) )
<=> ( (~) @ ( ord_less_int @ ( number_number_of_int @ Y0 ) @ ( number_number_of_int @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl360,plain,
! [X2: int,X4: int] :
( ( ord_less_eq_int @ ( number_number_of_int @ X2 ) @ ( number_number_of_int @ X4 ) )
<=> ( (~) @ ( ord_less_int @ ( number_number_of_int @ X4 ) @ ( number_number_of_int @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl359]) ).
thf(zip_derived_cl361,plain,
! [X2: int,X4: int] :
( ( ord_less_eq_int @ ( number_number_of_int @ X2 ) @ ( number_number_of_int @ X4 ) )
!= ( ord_less_int @ ( number_number_of_int @ X4 ) @ ( number_number_of_int @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl360]) ).
thf(zip_derived_cl131_005,plain,
! [X2: int] :
( ( number_number_of_int @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl131_006,plain,
! [X2: int] :
( ( number_number_of_int @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl131_007,plain,
! [X2: int] :
( ( number_number_of_int @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl131_008,plain,
! [X2: int] :
( ( number_number_of_int @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl362,plain,
! [X2: int,X4: int] :
( ( ord_less_eq_int @ X2 @ X4 )
!= ( ord_less_int @ X4 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl361,zip_derived_cl131,zip_derived_cl131,zip_derived_cl131,zip_derived_cl131]) ).
thf(zip_derived_cl557,plain,
~ ( ord_less_int @ t @ one_one_int ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl362]) ).
thf(fact_29_zless__linear,axiom,
! [X_1: int,Y_1: int] :
( ( ord_less_int @ X_1 @ Y_1 )
| ( X_1 = Y_1 )
| ( ord_less_int @ Y_1 @ X_1 ) ) ).
thf(zip_derived_cl28,plain,
( !!
@ ^ [Y0: int] :
( !!
@ ^ [Y1: int] :
( ( ord_less_int @ Y0 @ Y1 )
| ( Y0 = Y1 )
| ( ord_less_int @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_29_zless__linear]) ).
thf(zip_derived_cl338,plain,
! [X2: int] :
( !!
@ ^ [Y0: int] :
( ( ord_less_int @ X2 @ Y0 )
| ( X2 = Y0 )
| ( ord_less_int @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl339,plain,
! [X2: int,X4: int] :
( ( ord_less_int @ X2 @ X4 )
| ( X2 = X4 )
| ( ord_less_int @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl338]) ).
thf(zip_derived_cl340,plain,
! [X2: int,X4: int] :
( ( ord_less_int @ X2 @ X4 )
| ( X2 = X4 )
| ( ord_less_int @ X4 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl339]) ).
thf(zip_derived_cl341,plain,
! [X2: int,X4: int] :
( ( ord_less_int @ X2 @ X4 )
| ( X2 = X4 )
| ( ord_less_int @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl340]) ).
thf(zip_derived_cl1315,plain,
( ( one_one_int = t )
| ( ord_less_int @ one_one_int @ t ) ),
inference('sup+',[status(thm)],[zip_derived_cl557,zip_derived_cl341]) ).
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,
( ( t = one_one_int )
=> ( ??
@ ^ [Y0: int] :
( ??
@ ^ [Y1: int] :
( ( plus_plus_int @ ( power_power_int @ Y0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y1 @ ( 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)],[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_cl124,plain,
( ( t != one_one_int )
| ( ??
@ ^ [Y0: int] :
( ??
@ ^ [Y1: int] :
( ( plus_plus_int @ ( power_power_int @ Y0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y1 @ ( 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(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl125,plain,
( ( t != one_one_int )
| ( ??
@ ^ [Y0: int] :
( ??
@ ^ [Y1: int] :
( ( plus_plus_int @ ( power_power_int @ Y0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y1 @ ( 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 nested equalities',[status(thm)],[zip_derived_cl124]) ).
thf(zip_derived_cl126,plain,
( ( ??
@ ^ [Y0: int] :
( ( plus_plus_int @ ( power_power_int @ '#sk1' @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Y0 @ ( 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(lazy_cnf_exists,[status(thm)],[zip_derived_cl125]) ).
thf(zip_derived_cl127,plain,
( ( ( plus_plus_int @ ( power_power_int @ '#sk1' @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ '#sk2' @ ( 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(lazy_cnf_exists,[status(thm)],[zip_derived_cl126]) ).
thf(zip_derived_cl128,plain,
( ( ( plus_plus_int @ ( power_power_int @ '#sk1' @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ '#sk2' @ ( 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('simplify nested equalities',[status(thm)],[zip_derived_cl127]) ).
thf(zip_derived_cl45_009,plain,
( ( plus_plus_nat @ one_one_nat @ one_one_nat )
= ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ),
inference(cnf,[status(esa)],[fact_47_nat__1__add__1]) ).
thf(zip_derived_cl45_010,plain,
( ( plus_plus_nat @ one_one_nat @ one_one_nat )
= ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ),
inference(cnf,[status(esa)],[fact_47_nat__1__add__1]) ).
thf(zip_derived_cl129,plain,
( ( ( plus_plus_int @ ( power_power_int @ '#sk1' @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) @ ( power_power_int @ '#sk2' @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) )
| ( t != one_one_int ) ),
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl45,zip_derived_cl45]) ).
thf(zip_derived_cl131_011,plain,
! [X2: int] :
( ( number_number_of_int @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl133,plain,
( ( ( plus_plus_int @ ( power_power_int @ '#sk1' @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) @ ( power_power_int @ '#sk2' @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) )
= ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) )
| ( t != one_one_int ) ),
inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl131]) ).
thf(fact_16_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
! [X_10: int] :
( ( times_times_int @ X_10 @ X_10 )
= ( power_power_int @ X_10 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ).
thf(zip_derived_cl15,plain,
( !!
@ ^ [Y0: int] :
( ( times_times_int @ Y0 @ Y0 )
= ( power_power_int @ Y0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_16_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J]) ).
thf(zip_derived_cl176,plain,
! [X2: int] :
( ( times_times_int @ X2 @ X2 )
= ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl177,plain,
! [X2: int] :
( ( times_times_int @ X2 @ X2 )
= ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl176]) ).
thf(zip_derived_cl45_012,plain,
( ( plus_plus_nat @ one_one_nat @ one_one_nat )
= ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ),
inference(cnf,[status(esa)],[fact_47_nat__1__add__1]) ).
thf(zip_derived_cl178,plain,
! [X2: int] :
( ( times_times_int @ X2 @ X2 )
= ( power_power_int @ X2 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) ),
inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl45]) ).
thf(zip_derived_cl178_013,plain,
! [X2: int] :
( ( times_times_int @ X2 @ X2 )
= ( power_power_int @ X2 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) ),
inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl45]) ).
thf(zip_derived_cl186,plain,
( ( ( plus_plus_int @ ( times_times_int @ '#sk1' @ '#sk1' ) @ ( times_times_int @ '#sk2' @ '#sk2' ) )
= ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) )
| ( t != one_one_int ) ),
inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl178,zip_derived_cl178]) ).
thf(fact_90_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
! [A_6: int,B_3: int] :
( ( times_times_int @ A_6 @ B_3 )
= ( times_times_int @ B_3 @ A_6 ) ) ).
thf(zip_derived_cl87,plain,
( !!
@ ^ [Y0: int] :
( !!
@ ^ [Y1: int] :
( ( times_times_int @ Y0 @ Y1 )
= ( times_times_int @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_90_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J]) ).
thf(zip_derived_cl187,plain,
! [X2: int] :
( !!
@ ^ [Y0: int] :
( ( times_times_int @ X2 @ Y0 )
= ( times_times_int @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl188,plain,
! [X2: int,X4: int] :
( ( times_times_int @ X2 @ X4 )
= ( times_times_int @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl187]) ).
thf(zip_derived_cl189,plain,
! [X2: int,X4: int] :
( ( times_times_int @ X2 @ X4 )
= ( times_times_int @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl194,plain,
( ( ( plus_plus_int @ ( times_times_int @ '#sk1' @ '#sk1' ) @ ( times_times_int @ '#sk2' @ '#sk2' ) )
= ( plus_plus_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) )
| ( t != one_one_int ) ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl189]) ).
thf(fact_102_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [A: int,C: int] :
( ( plus_plus_int @ A @ C )
= ( plus_plus_int @ C @ A ) ) ).
thf(zip_derived_cl99,plain,
( !!
@ ^ [Y0: int] :
( !!
@ ^ [Y1: int] :
( ( plus_plus_int @ Y0 @ Y1 )
= ( plus_plus_int @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_102_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
thf(zip_derived_cl211,plain,
! [X2: int] :
( !!
@ ^ [Y0: int] :
( ( plus_plus_int @ X2 @ Y0 )
= ( plus_plus_int @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl212,plain,
! [X2: int,X4: int] :
( ( plus_plus_int @ X2 @ X4 )
= ( plus_plus_int @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl213,plain,
! [X2: int,X4: int] :
( ( plus_plus_int @ X2 @ X4 )
= ( plus_plus_int @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl212]) ).
thf(zip_derived_cl219,plain,
( ( ( plus_plus_int @ ( times_times_int @ '#sk1' @ '#sk1' ) @ ( times_times_int @ '#sk2' @ '#sk2' ) )
= ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
| ( t != one_one_int ) ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl213]) ).
thf(zip_derived_cl178_014,plain,
! [X2: int] :
( ( times_times_int @ X2 @ X2 )
= ( power_power_int @ X2 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) ),
inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl45]) ).
thf(zip_derived_cl178_015,plain,
! [X2: int] :
( ( times_times_int @ X2 @ X2 )
= ( power_power_int @ X2 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) ),
inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl45]) ).
thf(zip_derived_cl144_016,plain,
! [X2: int,X4: int] :
( ( plus_plus_int @ ( power_power_int @ X2 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) @ ( power_power_int @ X4 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) )
!= ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) ),
inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl45,zip_derived_cl45,zip_derived_cl131]) ).
thf(zip_derived_cl189_017,plain,
! [X2: int,X4: int] :
( ( times_times_int @ X2 @ X4 )
= ( times_times_int @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl191,plain,
! [X2: int,X4: int] :
( ( plus_plus_int @ ( power_power_int @ X2 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) @ ( power_power_int @ X4 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) )
!= ( plus_plus_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) ),
inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl189]) ).
thf(zip_derived_cl213_018,plain,
! [X2: int,X4: int] :
( ( plus_plus_int @ X2 @ X4 )
= ( plus_plus_int @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl212]) ).
thf(zip_derived_cl216,plain,
! [X2: int,X4: int] :
( ( plus_plus_int @ ( power_power_int @ X2 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) @ ( power_power_int @ X4 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) )
!= ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl213]) ).
thf(zip_derived_cl734,plain,
! [X0: int,X1: int] :
( ( plus_plus_int @ ( times_times_int @ X0 @ X0 ) @ ( power_power_int @ X1 @ ( plus_plus_nat @ one_one_nat @ one_one_nat ) ) )
!= ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl216]) ).
thf(zip_derived_cl816,plain,
! [X0: int,X1: int] :
( ( plus_plus_int @ ( times_times_int @ X1 @ X1 ) @ ( times_times_int @ X0 @ X0 ) )
!= ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl734]) ).
thf(zip_derived_cl855,plain,
( ( ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
!= ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
| ( t != one_one_int ) ),
inference('sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl816]) ).
thf(zip_derived_cl870,plain,
t != one_one_int,
inference(simplify,[status(thm)],[zip_derived_cl855]) ).
thf(zip_derived_cl1381,plain,
ord_less_int @ one_one_int @ t,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1315,zip_derived_cl870]) ).
thf(zip_derived_cl1389,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl1381]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : NUM926^1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.08 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iaWLVHhmTT true
% 0.07/0.26 % Computer : n021.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Fri Aug 25 16:52:10 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % Running portfolio for 300 s
% 0.07/0.26 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 % Number of cores: 8
% 0.07/0.27 % Python version: Python 3.6.8
% 0.07/0.27 % Running in HO mode
% 0.11/0.42 % Total configuration time : 828
% 0.11/0.42 % Estimated wc time : 1656
% 0.11/0.42 % Estimated cpu time (8 cpus) : 207.0
% 0.11/0.48 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.11/0.48 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.11/0.48 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.11/0.48 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.11/0.48 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.11/0.49 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.11/0.49 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.11/0.49 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.11/0.59 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 4.30/0.97 % Solved by lams/30_b.l.sh.
% 4.30/0.97 % done 270 iterations in 0.335s
% 4.30/0.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.30/0.97 % SZS output start Refutation
% See solution above
% 4.30/0.97
% 4.30/0.97
% 4.30/0.97 % Terminating...
% 4.30/1.04 % Runner terminated.
% 4.30/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------