%------------------------------------------------------------------------------
% 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.dQGAN2Gsbh true
% Computer : n020.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 12.61s 2.41s
% Output : Refutation 12.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 19 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 213 ( 15 ~; 9 |; 0 &; 185 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 12 con; 0-2 aty)
% Number of variables : 15 ( 0 ^; 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(power_power_int_type,type,
power_power_int: $i ).
thf(is_int_type,type,
is_int: $i > $o ).
thf(hAPP_int_fun_int_int_type,type,
hAPP_int_fun_int_int: $i > $i > $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(one_one_int_type,type,
one_one_int: $i ).
thf(ord_less_int_type,type,
ord_less_int: $i ).
thf(hAPP_i1948725293t_bool_type,type,
hAPP_i1948725293t_bool: $i > $i > $i ).
thf(bit0_type,type,
bit0: $i ).
thf(plus_plus_int_type,type,
plus_plus_int: $i ).
thf(hAPP_int_nat_type,type,
hAPP_int_nat: $i > $i > $i ).
thf(hAPP_nat_int_type,type,
hAPP_nat_int: $i > $i > $i ).
thf(hAPP_int_fun_nat_int_type,type,
hAPP_int_fun_nat_int: $i > $i > $i ).
thf(semiri1621563631at_int_type,type,
semiri1621563631at_int: $i ).
thf(pls_type,type,
pls: $i ).
thf(hAPP_int_int_type,type,
hAPP_int_int: $i > $i > $i ).
thf(number_number_of_nat_type,type,
number_number_of_nat: $i ).
thf(zero_zero_int_type,type,
zero_zero_int: $i ).
thf(n_type,type,
n: $i ).
thf(bit1_type,type,
bit1: $i ).
thf(hAPP_int_bool_type,type,
hAPP_int_bool: $i > $i > $i ).
thf(gsy_c_hAPP_000tc__Int__Oint_000tc__Int__Oint,axiom,
! [B_1_1: $i,B_2_1: $i] :
( ( is_int @ B_2_1 )
=> ( is_int @ ( hAPP_int_int @ B_1_1 @ B_2_1 ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( is_int @ ( hAPP_int_int @ X0 @ X1 ) )
| ~ ( is_int @ X1 ) ),
inference(cnf,[status(esa)],[gsy_c_hAPP_000tc__Int__Oint_000tc__Int__Oint]) ).
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_cl3722,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_cl160,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_151_Pls__def]) ).
thf(zip_derived_cl9387,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 @ zero_zero_int ) ) ) )
= zero_zero_int ),
inference(demod,[status(thm)],[zip_derived_cl3722,zip_derived_cl160]) ).
thf(fact_22_zero__eq__power2,axiom,
! [A_1: $i] :
( ( is_int @ A_1 )
=> ( ( ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ A_1 ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) )
= zero_zero_int )
<=> ( A_1 = zero_zero_int ) ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i] :
( ( ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ X0 ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) )
!= zero_zero_int )
| ( X0 = zero_zero_int )
| ~ ( is_int @ X0 ) ),
inference(cnf,[status(esa)],[fact_22_zero__eq__power2]) ).
thf(zip_derived_cl160_001,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_151_Pls__def]) ).
thf(zip_derived_cl9643,plain,
! [X0: $i] :
( ( ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ X0 ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ zero_zero_int ) ) ) )
!= zero_zero_int )
| ( X0 = zero_zero_int )
| ~ ( is_int @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl160]) ).
thf(zip_derived_cl9648,plain,
( ( zero_zero_int != zero_zero_int )
| ~ ( is_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) )
| ( ( 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_cl9387,zip_derived_cl9643]) ).
thf(zip_derived_cl9658,plain,
( ( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) )
= zero_zero_int )
| ~ ( is_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl9648]) ).
thf(fact_1796_order__less__imp__not__eq2,axiom,
! [X_36: $i,Y_30: $i] :
( ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ X_36 ) @ Y_30 ) )
=> ( Y_30 != X_36 ) ) ).
thf(zip_derived_cl1315,plain,
! [X0: $i,X1: $i] :
( ( X1 != X0 )
| ~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_1796_order__less__imp__not__eq2]) ).
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_cl12,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_cl9534,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('sup+',[status(thm)],[zip_derived_cl1315,zip_derived_cl12]) ).
thf(zip_derived_cl9659,plain,
~ ( is_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9658,zip_derived_cl9534]) ).
thf(zip_derived_cl9679,plain,
~ ( is_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl9659]) ).
thf(gsy_c_hAPP_000tc__Nat__Onat_000tc__Int__Oint,axiom,
! [B_1_1: $i,B_2_1: $i] : ( is_int @ ( hAPP_nat_int @ B_1_1 @ B_2_1 ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] : ( is_int @ ( hAPP_nat_int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__Int__Oint]) ).
thf(zip_derived_cl9681,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl9679,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : NUM925+4 : TPTP v9.2.0. Released v5.3.0.
% 0.13/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dQGAN2Gsbh true
% 0.14/0.37 % Computer : n020.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Wed Oct 1 16:46:53 EDT 2025
% 0.14/0.38 % CPUTime :
% 0.14/0.38 % Running portfolio for 300 s
% 0.14/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 % Number of cores: 8
% 0.14/0.38 % Python version: Python 3.6.8
% 0.14/0.38 % Running in FO mode
% 0.57/0.68 % Total configuration time : 435
% 0.57/0.68 % Estimated wc time : 1092
% 0.57/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 12.61/2.41 % Solved by fo/fo3_bce.sh.
% 12.61/2.41 % BCE start: 3723
% 12.61/2.41 % BCE eliminated: 17
% 12.61/2.41 % PE start: 3706
% 12.61/2.41 logic: eq
% 12.61/2.41 % PE eliminated: 10
% 12.61/2.41 % done 244 iterations in 1.631s
% 12.61/2.41 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 12.61/2.41 % SZS output start Refutation
% See solution above
% 12.61/2.41
% 12.61/2.41
% 12.61/2.41 % Terminating...
% 12.87/2.47 % Runner terminated.
% 12.87/2.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------