%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM925+7 : 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.yXFucGDhy1 true
% Computer : n025.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 22.38s 3.91s
% Output : Refutation 22.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 38 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 36 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 446 ( 12 ~; 7 |; 1 &; 423 @)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 6 con; 0-4 aty)
% Number of variables : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(linordered_idom_type,type,
linordered_idom: $i > $o ).
thf(bool_type,type,
bool: $i ).
thf(ord_less_type,type,
ord_less: $i > $i ).
thf(bit1_type,type,
bit1: $i > $i ).
thf(bit0_type,type,
bit0: $i > $i ).
thf(pls_type,type,
pls: $i ).
thf(one_one_type,type,
one_one: $i > $i ).
thf(nat_type,type,
nat: $i ).
thf(fun_type,type,
fun: $i > $i > $i ).
thf(power_power_type,type,
power_power: $i > $i > $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i > $i > $i ).
thf(n_type,type,
n: $i ).
thf(semiring_1_of_nat_type,type,
semiring_1_of_nat: $i > $i ).
thf(nat_1_type,type,
nat_1: $i > $i ).
thf(plus_plus_type,type,
plus_plus: $i > $i > $i > $i ).
thf(number_number_of_type,type,
number_number_of: $i > $i > $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(ti_type,type,
ti: $i > $i > $i ).
thf(zero_zero_type,type,
zero_zero: $i > $i ).
thf(ord_less_eq_type,type,
ord_less_eq: $i > $i ).
thf(int_type,type,
int: $i ).
thf(conj_0,conjecture,
( ( hAPP @ nat @ int @ ( power_power @ int @ ( plus_plus @ int @ ( one_one @ int ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= ( zero_zero @ int ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( hAPP @ nat @ int @ ( power_power @ int @ ( plus_plus @ int @ ( one_one @ int ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= ( zero_zero @ int ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl1160,plain,
( ( hAPP @ nat @ int @ ( power_power @ int @ ( plus_plus @ int @ ( one_one @ int ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_120_number__of__is__id,axiom,
! [K_1: $i] :
( ( number_number_of @ int @ K_1 )
= ( ti @ int @ K_1 ) ) ).
thf(zip_derived_cl164,plain,
! [X0: $i] :
( ( number_number_of @ int @ X0 )
= ( ti @ int @ X0 ) ),
inference(cnf,[status(esa)],[fact_120_number__of__is__id]) ).
thf(fact_37_one__is__num__one,axiom,
( ( one_one @ int )
= ( number_number_of @ int @ ( bit1 @ pls ) ) ) ).
thf(zip_derived_cl63,plain,
( ( one_one @ int )
= ( number_number_of @ int @ ( bit1 @ pls ) ) ),
inference(cnf,[status(esa)],[fact_37_one__is__num__one]) ).
thf(zip_derived_cl2600,plain,
( ( one_one @ int )
= ( ti @ int @ ( bit1 @ pls ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl164,zip_derived_cl63]) ).
thf(tsy_c_Int_OBit1_res,axiom,
! [B_1_1: $i] :
( ( ti @ int @ ( bit1 @ B_1_1 ) )
= ( bit1 @ B_1_1 ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( ti @ int @ ( bit1 @ X0 ) )
= ( bit1 @ X0 ) ),
inference(cnf,[status(esa)],[tsy_c_Int_OBit1_res]) ).
thf(zip_derived_cl2644,plain,
( ( one_one @ int )
= ( bit1 @ pls ) ),
inference('sup+',[status(thm)],[zip_derived_cl2600,zip_derived_cl11]) ).
thf(fact_426_nat__number__of,axiom,
! [W: $i] :
( ( nat_1 @ ( number_number_of @ int @ W ) )
= ( number_number_of @ nat @ W ) ) ).
thf(zip_derived_cl409,plain,
! [X0: $i] :
( ( nat_1 @ ( number_number_of @ int @ X0 ) )
= ( number_number_of @ nat @ X0 ) ),
inference(cnf,[status(esa)],[fact_426_nat__number__of]) ).
thf(zip_derived_cl164_001,plain,
! [X0: $i] :
( ( number_number_of @ int @ X0 )
= ( ti @ int @ X0 ) ),
inference(cnf,[status(esa)],[fact_120_number__of__is__id]) ).
thf(tsy_c_Int_Onat_arg1,axiom,
! [B_1_1: $i] :
( ( nat_1 @ ( ti @ int @ B_1_1 ) )
= ( nat_1 @ B_1_1 ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( nat_1 @ ( ti @ int @ X0 ) )
= ( nat_1 @ X0 ) ),
inference(cnf,[status(esa)],[tsy_c_Int_Onat_arg1]) ).
thf(zip_derived_cl2846,plain,
! [X0: $i] :
( ( nat_1 @ X0 )
= ( number_number_of @ nat @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl409,zip_derived_cl164,zip_derived_cl14]) ).
thf(fact_73_Pls__def,axiom,
( pls
= ( zero_zero @ int ) ) ).
thf(zip_derived_cl116,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_73_Pls__def]) ).
thf(zip_derived_cl12688,plain,
( ( hAPP @ nat @ int @ ( power_power @ int @ ( plus_plus @ int @ ( one_one @ int ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) ) @ ( nat_1 @ ( bit0 @ ( one_one @ int ) ) ) )
= pls ),
inference(demod,[status(thm)],[zip_derived_cl1160,zip_derived_cl2644,zip_derived_cl2846,zip_derived_cl116]) ).
thf(fact_95_zero__less__power2,axiom,
! [X_a: $i] :
( ( linordered_idom @ X_a )
=> ! [A_2: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ ( zero_zero @ X_a ) ) @ ( hAPP @ nat @ X_a @ ( power_power @ X_a @ A_2 ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
<=> ( ( ti @ X_a @ A_2 )
!= ( zero_zero @ X_a ) ) ) ) ).
thf(zip_derived_cl135,plain,
! [X0: $i,X1: $i] :
( ( ( ti @ X0 @ X1 )
= ( zero_zero @ X0 ) )
| ( hBOOL @ ( hAPP @ X0 @ bool @ ( hAPP @ X0 @ ( fun @ X0 @ bool ) @ ( ord_less @ X0 ) @ ( zero_zero @ X0 ) ) @ ( hAPP @ nat @ X0 @ ( power_power @ X0 @ X1 ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
| ~ ( linordered_idom @ X0 ) ),
inference(cnf,[status(esa)],[fact_95_zero__less__power2]) ).
thf(zip_derived_cl2644_002,plain,
( ( one_one @ int )
= ( bit1 @ pls ) ),
inference('sup+',[status(thm)],[zip_derived_cl2600,zip_derived_cl11]) ).
thf(zip_derived_cl2846_003,plain,
! [X0: $i] :
( ( nat_1 @ X0 )
= ( number_number_of @ nat @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl409,zip_derived_cl164,zip_derived_cl14]) ).
thf(zip_derived_cl9398,plain,
! [X0: $i,X1: $i] :
( ( ( ti @ X0 @ X1 )
= ( zero_zero @ X0 ) )
| ( hBOOL @ ( hAPP @ X0 @ bool @ ( hAPP @ X0 @ ( fun @ X0 @ bool ) @ ( ord_less @ X0 ) @ ( zero_zero @ X0 ) ) @ ( hAPP @ nat @ X0 @ ( power_power @ X0 @ X1 ) @ ( nat_1 @ ( bit0 @ ( one_one @ int ) ) ) ) ) )
| ~ ( linordered_idom @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl2644,zip_derived_cl2846]) ).
thf(zip_derived_cl12692,plain,
( ( hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ ( zero_zero @ int ) ) @ pls ) )
| ~ ( linordered_idom @ int )
| ( ( ti @ int @ ( plus_plus @ int @ ( one_one @ int ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) )
= ( zero_zero @ int ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl12688,zip_derived_cl9398]) ).
thf(zip_derived_cl116_004,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_73_Pls__def]) ).
thf(fact_32_rel__simps_I2_J,axiom,
~ ( hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ pls ) @ pls ) ) ).
thf(zip_derived_cl54,plain,
~ ( hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ pls ) @ pls ) ),
inference(cnf,[status(esa)],[fact_32_rel__simps_I2_J]) ).
thf(arity_Int_Oint___Rings_Olinordered__idom,axiom,
linordered_idom @ int ).
thf(zip_derived_cl1150,plain,
linordered_idom @ int,
inference(cnf,[status(esa)],[arity_Int_Oint___Rings_Olinordered__idom]) ).
thf(zip_derived_cl116_005,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_73_Pls__def]) ).
thf(zip_derived_cl12718,plain,
( ( ti @ int @ ( plus_plus @ int @ ( one_one @ int ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) )
= pls ),
inference(demod,[status(thm)],[zip_derived_cl12692,zip_derived_cl116,zip_derived_cl54,zip_derived_cl1150,zip_derived_cl116]) ).
thf(fact_0_n1pos,axiom,
hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ ( zero_zero @ int ) ) @ ( plus_plus @ int @ ( one_one @ int ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) ) ).
thf(zip_derived_cl21,plain,
hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ ( zero_zero @ int ) ) @ ( plus_plus @ int @ ( one_one @ int ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) ),
inference(cnf,[status(esa)],[fact_0_n1pos]) ).
thf(zip_derived_cl116_006,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_73_Pls__def]) ).
thf(zip_derived_cl2832,plain,
hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ pls ) @ ( plus_plus @ int @ ( one_one @ int ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl116]) ).
thf(fact_380_zless__le,axiom,
! [Z_1: $i,Wa: $i] :
( ( hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ Z_1 ) @ Wa ) )
<=> ( ( hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less_eq @ int ) @ Z_1 ) @ Wa ) )
& ( ( ti @ int @ Z_1 )
!= ( ti @ int @ Wa ) ) ) ) ).
thf(zip_derived_cl362,plain,
! [X0: $i,X1: $i] :
( ( ( ti @ int @ X1 )
!= ( ti @ int @ X0 ) )
| ~ ( hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ X1 ) @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_380_zless__le]) ).
thf(zip_derived_cl4835,plain,
( ( ti @ int @ pls )
!= ( ti @ int @ ( plus_plus @ int @ ( one_one @ int ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2832,zip_derived_cl362]) ).
thf(tsy_c_Int_OPls_res,axiom,
( ( ti @ int @ pls )
= pls ) ).
thf(zip_derived_cl13,plain,
( ( ti @ int @ pls )
= pls ),
inference(cnf,[status(esa)],[tsy_c_Int_OPls_res]) ).
thf(zip_derived_cl4841,plain,
( pls
!= ( ti @ int @ ( plus_plus @ int @ ( one_one @ int ) @ ( hAPP @ nat @ int @ ( semiring_1_of_nat @ int ) @ n ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4835,zip_derived_cl13]) ).
thf(zip_derived_cl12719,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12718,zip_derived_cl4841]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.15 % Problem : NUM925+7 : TPTP v9.2.0. Released v5.3.0.
% 0.12/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yXFucGDhy1 true
% 0.13/0.39 % Computer : n025.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8042.1875MB
% 0.13/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Wed Oct 1 16:52:23 EDT 2025
% 0.13/0.39 % CPUTime :
% 0.13/0.39 % Running portfolio for 300 s
% 0.13/0.39 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39 % Number of cores: 8
% 0.13/0.39 % Python version: Python 3.6.8
% 0.13/0.40 % Running in FO mode
% 0.52/0.68 % Total configuration time : 435
% 0.52/0.68 % Estimated wc time : 1092
% 0.52/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.83 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.84 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 22.38/3.91 % Solved by fo/fo3_bce.sh.
% 22.38/3.91 % BCE start: 1161
% 22.38/3.91 % BCE eliminated: 25
% 22.38/3.91 % PE start: 1136
% 22.38/3.91 logic: eq
% 22.38/3.91 % PE eliminated: -14
% 22.38/3.91 % done 858 iterations in 3.110s
% 22.38/3.91 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 22.38/3.91 % SZS output start Refutation
% See solution above
% 22.38/3.91
% 22.38/3.91
% 22.38/3.91 % Terminating...
% 23.32/4.03 % Runner terminated.
% 23.32/4.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------