%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM926^1 : TPTP v9.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TEzYp0uDu8 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 Oct 2 04:48:43 PM UTC 2025
% Result : Theorem 6.60s 1.51s
% Output : Refutation 6.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 80 ( 37 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 527 ( 26 ~; 9 |; 8 &; 458 @)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 15 usr; 10 con; 0-2 aty)
% ( 3 !!; 15 ??; 0 @@+; 0 @@-)
% Number of variables : 40 ( 18 ^; 14 !; 8 ?; 40 :)
% 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(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('#sk2_type',type,
'#sk2': 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(bit1_type,type,
bit1: int > int ).
thf('#sk3_type',type,
'#sk3': 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_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_28_zless__le,axiom,
! [Z: int,W: int] :
( ( ord_less_int @ Z @ W )
<=> ( ( Z != W )
& ( ord_less_eq_int @ Z @ W ) ) ) ).
thf(zip_derived_cl28,plain,
( !!
@ ^ [Y0: int] :
( !!
@ ^ [Y1: int] :
( ( ord_less_int @ Y0 @ Y1 )
<=> ( ( Y0 != Y1 )
& ( ord_less_eq_int @ Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_28_zless__le]) ).
thf(zip_derived_cl815,plain,
! [X2: int] :
( !!
@ ^ [Y0: int] :
( ( ord_less_int @ X2 @ Y0 )
<=> ( ( X2 != Y0 )
& ( ord_less_eq_int @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl816,plain,
! [X2: int,X4: int] :
( ( ord_less_int @ X2 @ X4 )
<=> ( ( X2 != X4 )
& ( ord_less_eq_int @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl815]) ).
thf(zip_derived_cl817,plain,
! [X2: int,X4: int] :
( ( ord_less_int @ X2 @ X4 )
= ( ( X2 != X4 )
& ( ord_less_eq_int @ X2 @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl816]) ).
thf(zip_derived_cl820,plain,
( ( ord_less_int @ one_one_int @ t )
= ( ( one_one_int != t )
& $true ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl817]) ).
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_cl166,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_cl167,plain,
( ( ??
@ ^ [Y0: int] :
( ( plus_plus_int @ ( power_power_int @ '#sk2' @ ( 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_cl166]) ).
thf(zip_derived_cl168,plain,
( ( ( plus_plus_int @ ( power_power_int @ '#sk2' @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ '#sk3' @ ( 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_cl167]) ).
thf(zip_derived_cl169,plain,
( ( ( plus_plus_int @ ( power_power_int @ '#sk2' @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ '#sk3' @ ( 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_cl168]) ).
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_cl123,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_cl128,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_cl123]) ).
thf(zip_derived_cl129,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_cl128]) ).
thf(zip_derived_cl130,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_cl129]) ).
thf(zip_derived_cl170,plain,
~ ( ord_less_int @ one_one_int @ t ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl169,zip_derived_cl130]) ).
thf(zip_derived_cl837,plain,
~ ( ( one_one_int != t )
& $true ),
inference(demod,[status(thm)],[zip_derived_cl820,zip_derived_cl170]) ).
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_cl135,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_cl136,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_cl135]) ).
thf(zip_derived_cl137,plain,
( ( ??
@ ^ [Y0: int] :
( ( plus_plus_int @ ( power_power_int @ '#sk2' @ ( 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_cl136]) ).
thf(zip_derived_cl138,plain,
( ( ( plus_plus_int @ ( power_power_int @ '#sk2' @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ '#sk3' @ ( 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_cl137]) ).
thf(zip_derived_cl139,plain,
( ( ( plus_plus_int @ ( power_power_int @ '#sk2' @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ '#sk3' @ ( 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_cl138]) ).
thf(zip_derived_cl130_001,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_cl129]) ).
thf(zip_derived_cl140,plain,
t != one_one_int,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl139,zip_derived_cl130]) ).
thf(zip_derived_cl838,plain,
~ ( $true
& $true ),
inference(inner_simplify_reflect,[status(thm)],[zip_derived_cl837,zip_derived_cl140]) ).
thf(zip_derived_cl839,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl838]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM926^1 : TPTP v9.2.0. Released v5.3.0.
% 0.07/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TEzYp0uDu8 true
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 16:17:53 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in HO mode
% 0.52/0.64 % Total configuration time : 828
% 0.52/0.64 % Estimated wc time : 1656
% 0.52/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/0.78 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.53/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 6.60/1.51 % Solved by lams/15_e_short1.sh.
% 6.60/1.51 % done 197 iterations in 0.753s
% 6.60/1.51 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.60/1.51 % SZS output start Refutation
% See solution above
% 6.60/1.51
% 6.60/1.51
% 6.60/1.51 % Terminating...
% 7.33/1.66 % Runner terminated.
% 7.33/1.68 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------