%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM925_4 : 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.jeSbPNthYC true
% Computer : n006.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 04:48:42 PM UTC 2025
% Result : Theorem 11.54s 2.26s
% Output : Refutation 11.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 29 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 176 ( 9 ~; 3 |; 1 &; 161 @)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 11 ( 10 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 16 con; 0-2 aty)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(int_type,type,
int: $tType ).
thf(fun_nat_int_type,type,
fun_nat_int: $tType ).
thf(fun_int_fun_nat_int_type,type,
fun_int_fun_nat_int: $tType ).
thf(fun_int_int_type,type,
fun_int_int: $tType ).
thf(fun_int_fun_int_int_type,type,
fun_int_fun_int_int: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(fun_int_nat_type,type,
fun_int_nat: $tType ).
thf(bool_type,type,
bool: $tType ).
thf(fun_int_bool_type,type,
fun_int_bool: $tType ).
thf(fun_int_fun_int_bool_type,type,
fun_int_fun_int_bool: $tType ).
thf(hAPP_int_bool_type,type,
hAPP_int_bool: fun_int_bool > int > bool ).
thf(hBOOL_type,type,
hBOOL: bool > $o ).
thf(plus_plus_int_type,type,
plus_plus_int: fun_int_fun_int_int ).
thf(bit1_type,type,
bit1: fun_int_int ).
thf(one_one_int_type,type,
one_one_int: int ).
thf(pls_type,type,
pls: int ).
thf(min_type,type,
min: int ).
thf(bit0_type,type,
bit0: fun_int_int ).
thf(number_number_of_nat_type,type,
number_number_of_nat: fun_int_nat ).
thf(number_number_of_int_type,type,
number_number_of_int: fun_int_int ).
thf(hAPP_int_fun_nat_int_type,type,
hAPP_int_fun_nat_int: fun_int_fun_nat_int > int > fun_nat_int ).
thf(hAPP_i1948725293t_bool_type,type,
hAPP_i1948725293t_bool: fun_int_fun_int_bool > int > fun_int_bool ).
thf(zero_zero_int_type,type,
zero_zero_int: int ).
thf(hAPP_int_nat_type,type,
hAPP_int_nat: fun_int_nat > int > nat ).
thf(hAPP_int_fun_int_int_type,type,
hAPP_int_fun_int_int: fun_int_fun_int_int > int > fun_int_int ).
thf(power_power_int_type,type,
power_power_int: fun_int_fun_nat_int ).
thf(hAPP_nat_int_type,type,
hAPP_nat_int: fun_nat_int > nat > int ).
thf(hAPP_int_int_type,type,
hAPP_int_int: fun_int_int > int > int ).
thf(n_type,type,
n: nat ).
thf(semiri1621563631at_int_type,type,
semiri1621563631at_int: fun_nat_int ).
thf(uminus_uminus_int_type,type,
uminus_uminus_int: fun_int_int ).
thf(ord_less_eq_int_type,type,
ord_less_eq_int: fun_int_fun_int_bool ).
thf(ord_less_int_type,type,
ord_less_int: fun_int_fun_int_bool ).
thf(conj_0,conjecture,
( ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) )
!= zero_zero_int ) ).
thf(zf_stmt_0,negated_conjecture,
( ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) )
= zero_zero_int ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl3613,plain,
( ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) )
= zero_zero_int ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_151_Pls__def,axiom,
pls = zero_zero_int ).
thf(zip_derived_cl148,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_151_Pls__def]) ).
thf(fact_3484_minus__Min,axiom,
( ( hAPP_int_int @ uminus_uminus_int @ min )
= ( hAPP_int_int @ bit1 @ pls ) ) ).
thf(zip_derived_cl2917,plain,
( ( hAPP_int_int @ uminus_uminus_int @ min )
= ( hAPP_int_int @ bit1 @ pls ) ),
inference(cnf,[status(esa)],[fact_3484_minus__Min]) ).
thf(zip_derived_cl148_001,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_151_Pls__def]) ).
thf(zip_derived_cl4962,plain,
( ( hAPP_int_int @ uminus_uminus_int @ min )
= ( hAPP_int_int @ bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl2917,zip_derived_cl148]) ).
thf(fact_51_semiring__norm_I110_J,axiom,
( one_one_int
= ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit1 @ pls ) ) ) ).
thf(zip_derived_cl34,plain,
( one_one_int
= ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit1 @ pls ) ) ),
inference(cnf,[status(esa)],[fact_51_semiring__norm_I110_J]) ).
thf(zip_derived_cl148_002,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_151_Pls__def]) ).
thf(zip_derived_cl4785,plain,
( one_one_int
= ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit1 @ zero_zero_int ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl148]) ).
thf(zip_derived_cl4962_003,plain,
( ( hAPP_int_int @ uminus_uminus_int @ min )
= ( hAPP_int_int @ bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl2917,zip_derived_cl148]) ).
thf(fact_279_number__of__is__id,axiom,
! [K_2: int] :
( ( hAPP_int_int @ number_number_of_int @ K_2 )
= K_2 ) ).
thf(zip_derived_cl240,plain,
! [X0: int] :
( ( hAPP_int_int @ number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_279_number__of__is__id]) ).
thf(zip_derived_cl4973,plain,
( one_one_int
= ( hAPP_int_int @ uminus_uminus_int @ min ) ),
inference(demod,[status(thm)],[zip_derived_cl4785,zip_derived_cl4962,zip_derived_cl240]) ).
thf(zip_derived_cl4992,plain,
( one_one_int
= ( hAPP_int_int @ bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl4962,zip_derived_cl4973]) ).
thf(zip_derived_cl5023,plain,
( ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ one_one_int ) ) )
= zero_zero_int ),
inference(demod,[status(thm)],[zip_derived_cl3613,zip_derived_cl148,zip_derived_cl4992]) ).
thf(fact_347_field__power__not__zero,axiom,
! [N_52: nat,A_197: int] :
( ( A_197 != zero_zero_int )
=> ( ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ A_197 ) @ N_52 )
!= zero_zero_int ) ) ).
thf(zip_derived_cl323,plain,
! [X0: int,X1: nat] :
( ( ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ X0 ) @ X1 )
!= zero_zero_int )
| ( X0 = zero_zero_int ) ),
inference(cnf,[status(esa)],[fact_347_field__power__not__zero]) ).
thf(zip_derived_cl5187,plain,
( ( zero_zero_int != zero_zero_int )
| ( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) )
= zero_zero_int ) ),
inference('sup-',[status(thm)],[zip_derived_cl5023,zip_derived_cl323]) ).
thf(zip_derived_cl5192,plain,
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) )
= zero_zero_int ),
inference(simplify,[status(thm)],[zip_derived_cl5187]) ).
thf(fact_562_zless__le,axiom,
! [Z_2: int,Wa: int] :
( ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ Z_2 ) @ Wa ) )
<=> ( ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_eq_int @ Z_2 ) @ Wa ) )
& ( Z_2 != Wa ) ) ) ).
thf(zip_derived_cl460,plain,
! [X0: int,X1: int] :
( ( X1 != X0 )
| ~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ X1 ) @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_562_zless__le]) ).
thf(fact_0_n1pos,axiom,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_int ) @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) ).
thf(zip_derived_cl0,plain,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_int ) @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ),
inference(cnf,[status(esa)],[fact_0_n1pos]) ).
thf(zip_derived_cl4938,plain,
( zero_zero_int
!= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl460,zip_derived_cl0]) ).
thf(zip_derived_cl5193,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5192,zip_derived_cl4938]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM925_4 : TPTP v9.2.0. 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.jeSbPNthYC true
% 0.13/0.35 % Computer : n006.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 : Wed Oct 1 16:53:23 EDT 2025
% 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
% 0.52/0.63 % Total configuration time : 435
% 0.52/0.63 % Estimated wc time : 1092
% 0.52/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 11.54/2.26 % Solved by fo/fo3_bce.sh.
% 11.54/2.26 % BCE start: 3614
% 11.54/2.26 % BCE eliminated: 0
% 11.54/2.26 % PE start: 3614
% 11.54/2.26 logic: eq
% 11.54/2.26 % PE eliminated: 49
% 11.54/2.26 % done 307 iterations in 1.525s
% 11.54/2.26 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.54/2.26 % SZS output start Refutation
% See solution above
% 11.54/2.26
% 11.54/2.26
% 11.54/2.26 % Terminating...
% 12.09/2.35 % Runner terminated.
% 12.09/2.36 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------