TSTP Solution File: NUM925_2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM925_2 : 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.nkuUWpn4bd true
% Computer : n032.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 12:44:52 EDT 2023
% Result : Theorem 0.13s 0.73s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 31
% Syntax : Number of formulae : 51 ( 23 unt; 24 typ; 0 def)
% Number of atoms : 31 ( 25 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 124 ( 7 ~; 3 |; 0 &; 113 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 5 ( 0 ^; 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
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(int_type,type,
int: $tType ).
thf(fun_int_int_type,type,
fun_int_int: $tType ).
thf(fun_nat_int_type,type,
fun_nat_int: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(number_number_of_int_type,type,
number_number_of_int: int > int ).
thf(hAPP_int_bool_type,type,
hAPP_int_bool: fun_int_bool > int > bool ).
thf(n_type,type,
n: nat ).
thf(one_one_int_type,type,
one_one_int: int ).
thf(plus_plus_int_type,type,
plus_plus_int: int > fun_int_int ).
thf(semiri1621563631at_int_type,type,
semiri1621563631at_int: fun_nat_int ).
thf(number_number_of_nat_type,type,
number_number_of_nat: int > nat ).
thf(hAPP_i1948725293t_bool_type,type,
hAPP_i1948725293t_bool: fun_int_fun_int_bool > int > fun_int_bool ).
thf(pls_type,type,
pls: int ).
thf(zero_zero_int_type,type,
zero_zero_int: int ).
thf(hAPP_int_int_type,type,
hAPP_int_int: fun_int_int > int > int ).
thf(power_power_int_type,type,
power_power_int: int > fun_nat_int ).
thf(bit0_type,type,
bit0: int > int ).
thf(hBOOL_type,type,
hBOOL: bool > $o ).
thf(ord_less_int_type,type,
ord_less_int: fun_int_fun_int_bool ).
thf(bit1_type,type,
bit1: int > int ).
thf(hAPP_nat_int_type,type,
hAPP_nat_int: fun_nat_int > nat > int ).
thf(fact_0_n1pos,axiom,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_int ) @ ( hAPP_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 @ ( plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ),
inference(cnf,[status(esa)],[fact_0_n1pos]) ).
thf(conj_0,conjecture,
( ( hAPP_nat_int @ ( power_power_int @ ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= zero_zero_int ) ).
thf(zf_stmt_0,negated_conjecture,
( ( hAPP_nat_int @ ( power_power_int @ ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= zero_zero_int ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl991,plain,
( ( hAPP_nat_int @ ( power_power_int @ ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= zero_zero_int ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_98_Pls__def,axiom,
pls = zero_zero_int ).
thf(zip_derived_cl149,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_98_Pls__def]) ).
thf(fact_25_semiring__norm_I110_J,axiom,
( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) ) ).
thf(zip_derived_cl34,plain,
( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) ),
inference(cnf,[status(esa)],[fact_25_semiring__norm_I110_J]) ).
thf(zip_derived_cl149_001,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_98_Pls__def]) ).
thf(fact_176_number__of__is__id,axiom,
! [K: int] :
( ( number_number_of_int @ K )
= K ) ).
thf(zip_derived_cl249,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_176_number__of__is__id]) ).
thf(zip_derived_cl1040,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl149,zip_derived_cl249]) ).
thf(zip_derived_cl1069,plain,
( ( hAPP_nat_int @ ( power_power_int @ ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) @ ( number_number_of_nat @ ( bit0 @ one_one_int ) ) )
= zero_zero_int ),
inference(demod,[status(thm)],[zip_derived_cl991,zip_derived_cl149,zip_derived_cl1040]) ).
thf(fact_10_zero__eq__power2,axiom,
! [A_24: int] :
( ( ( hAPP_nat_int @ ( power_power_int @ A_24 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= zero_zero_int )
<=> ( A_24 = zero_zero_int ) ) ).
thf(zip_derived_cl14,plain,
! [X0: int] :
( ( X0 = zero_zero_int )
| ( ( hAPP_nat_int @ ( power_power_int @ X0 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= zero_zero_int ) ),
inference(cnf,[status(esa)],[fact_10_zero__eq__power2]) ).
thf(zip_derived_cl149_002,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_98_Pls__def]) ).
thf(zip_derived_cl1040_003,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl149,zip_derived_cl249]) ).
thf(zip_derived_cl1177,plain,
! [X0: int] :
( ( X0 = zero_zero_int )
| ( ( hAPP_nat_int @ ( power_power_int @ X0 ) @ ( number_number_of_nat @ ( bit0 @ one_one_int ) ) )
!= zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl149,zip_derived_cl1040]) ).
thf(zip_derived_cl1180,plain,
( ( ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) )
= zero_zero_int )
| ( zero_zero_int != zero_zero_int ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1069,zip_derived_cl1177]) ).
thf(zip_derived_cl1184,plain,
( ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) )
= zero_zero_int ),
inference(simplify,[status(thm)],[zip_derived_cl1180]) ).
thf(fact_48_rel__simps_I2_J,axiom,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ pls ) @ pls ) ) ).
thf(zip_derived_cl63,plain,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ pls ) @ pls ) ),
inference(cnf,[status(esa)],[fact_48_rel__simps_I2_J]) ).
thf(zip_derived_cl149_004,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_98_Pls__def]) ).
thf(zip_derived_cl149_005,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_98_Pls__def]) ).
thf(zip_derived_cl1067,plain,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_int ) @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl149,zip_derived_cl149]) ).
thf(zip_derived_cl1191,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl1184,zip_derived_cl1067]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : NUM925_2 : 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.nkuUWpn4bd true
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Fri Aug 25 15:11:57 EDT 2023
% 0.08/0.27 % CPUTime :
% 0.08/0.27 % Running portfolio for 300 s
% 0.08/0.27 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.27 % Number of cores: 8
% 0.08/0.28 % Python version: Python 3.6.8
% 0.08/0.28 % Running in FO mode
% 0.13/0.48 % Total configuration time : 435
% 0.13/0.48 % Estimated wc time : 1092
% 0.13/0.48 % Estimated cpu time (7 cpus) : 156.0
% 0.13/0.54 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.13/0.54 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.13/0.54 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.13/0.56 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.13/0.56 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.13/0.56 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.13/0.56 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.13/0.73 % Solved by fo/fo1_av.sh.
% 0.13/0.73 % done 144 iterations in 0.161s
% 0.13/0.73 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.13/0.73 % SZS output start Refutation
% See solution above
% 0.13/0.73
% 0.13/0.73
% 0.13/0.73 % Terminating...
% 1.96/0.80 % Runner terminated.
% 1.96/0.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------