TSTP Solution File: NUM925+3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM925+3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LPa2A6DZv6 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 Aug 31 12:44:53 EDT 2023
% Result : Theorem 4.22s 1.18s
% Output : Refutation 4.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 29
% Syntax : Number of formulae : 60 ( 29 unt; 17 typ; 0 def)
% Number of atoms : 64 ( 31 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 215 ( 19 ~; 15 |; 1 &; 175 @)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 15 ( 0 ^; 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(hAPP_i1948725293t_bool_type,type,
hAPP_i1948725293t_bool: $i > $i > $i ).
thf(is_int_type,type,
is_int: $i > $o ).
thf(power_power_int_type,type,
power_power_int: $i > $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(number_number_of_nat_type,type,
number_number_of_nat: $i > $i ).
thf(hAPP_int_bool_type,type,
hAPP_int_bool: $i > $i > $i ).
thf(bit1_type,type,
bit1: $i > $i ).
thf(pls_type,type,
pls: $i ).
thf(ord_less_int_type,type,
ord_less_int: $i ).
thf(n_type,type,
n: $i ).
thf(hAPP_nat_int_type,type,
hAPP_nat_int: $i > $i > $i ).
thf(number_number_of_int_type,type,
number_number_of_int: $i > $i ).
thf(bit0_type,type,
bit0: $i > $i ).
thf(semiri1621563631at_int_type,type,
semiri1621563631at_int: $i ).
thf(plus_plus_int_type,type,
plus_plus_int: $i > $i > $i ).
thf(one_one_int_type,type,
one_one_int: $i ).
thf(zero_zero_int_type,type,
zero_zero_int: $i ).
thf(fact_0_n1pos,axiom,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_int ) @ ( plus_plus_int @ one_one_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) ).
thf(zip_derived_cl15,plain,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_int ) @ ( plus_plus_int @ one_one_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ),
inference(cnf,[status(esa)],[fact_0_n1pos]) ).
thf(gsy_c_Groups_Oplus__class_Oplus_000tc__Int__Oint,axiom,
! [B_1_1: $i,B_2_1: $i] :
( ( ( is_int @ B_1_1 )
& ( is_int @ B_2_1 ) )
=> ( is_int @ ( plus_plus_int @ B_1_1 @ B_2_1 ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ~ ( is_int @ X0 )
| ~ ( is_int @ X1 )
| ( is_int @ ( plus_plus_int @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[gsy_c_Groups_Oplus__class_Oplus_000tc__Int__Oint]) ).
thf(conj_0,conjecture,
( ( hAPP_nat_int @ ( power_power_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 @ ( 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_cl1676,plain,
( ( hAPP_nat_int @ ( power_power_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_cl163,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_98_Pls__def]) ).
thf(zip_derived_cl3613,plain,
( ( hAPP_nat_int @ ( power_power_int @ ( plus_plus_int @ one_one_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) )
= zero_zero_int ),
inference(demod,[status(thm)],[zip_derived_cl1676,zip_derived_cl163]) ).
thf(gsy_c_Int_OBit1,axiom,
! [B_1_1: $i] :
( ( is_int @ B_1_1 )
=> ( is_int @ ( bit1 @ B_1_1 ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( is_int @ ( bit1 @ X0 ) )
| ~ ( is_int @ X0 ) ),
inference(cnf,[status(esa)],[gsy_c_Int_OBit1]) ).
thf(fact_25_semiring__norm_I110_J,axiom,
( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) ) ).
thf(zip_derived_cl48,plain,
( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) ),
inference(cnf,[status(esa)],[fact_25_semiring__norm_I110_J]) ).
thf(zip_derived_cl163_001,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_98_Pls__def]) ).
thf(zip_derived_cl3614,plain,
( one_one_int
= ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl163]) ).
thf(fact_177_number__of__is__id,axiom,
! [K_1: $i] :
( ( is_int @ K_1 )
=> ( ( number_number_of_int @ K_1 )
= K_1 ) ) ).
thf(zip_derived_cl258,plain,
! [X0: $i] :
( ( ( number_number_of_int @ X0 )
= X0 )
| ~ ( is_int @ X0 ) ),
inference(cnf,[status(esa)],[fact_177_number__of__is__id]) ).
thf(zip_derived_cl3810,plain,
( ( one_one_int
= ( bit1 @ zero_zero_int ) )
| ~ ( is_int @ ( bit1 @ zero_zero_int ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3614,zip_derived_cl258]) ).
thf(zip_derived_cl3816,plain,
( ~ ( is_int @ zero_zero_int )
| ( one_one_int
= ( bit1 @ zero_zero_int ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl3810]) ).
thf(gsy_c_Groups_Ozero__class_Ozero_000tc__Int__Oint,axiom,
is_int @ zero_zero_int ).
thf(zip_derived_cl5,plain,
is_int @ zero_zero_int,
inference(cnf,[status(esa)],[gsy_c_Groups_Ozero__class_Ozero_000tc__Int__Oint]) ).
thf(zip_derived_cl3817,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl3816,zip_derived_cl5]) ).
thf(zip_derived_cl3822,plain,
( ( hAPP_nat_int @ ( power_power_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_cl3613,zip_derived_cl3817]) ).
thf(fact_10_zero__eq__power2,axiom,
! [A_1: $i] :
( ( is_int @ A_1 )
=> ( ( ( hAPP_nat_int @ ( power_power_int @ A_1 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= zero_zero_int )
<=> ( A_1 = zero_zero_int ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ( ( hAPP_nat_int @ ( power_power_int @ X0 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= zero_zero_int )
| ( X0 = zero_zero_int )
| ~ ( is_int @ X0 ) ),
inference(cnf,[status(esa)],[fact_10_zero__eq__power2]) ).
thf(zip_derived_cl163_002,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_98_Pls__def]) ).
thf(zip_derived_cl3817_003,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl3816,zip_derived_cl5]) ).
thf(zip_derived_cl3932,plain,
! [X0: $i] :
( ( ( hAPP_nat_int @ ( power_power_int @ X0 ) @ ( number_number_of_nat @ ( bit0 @ one_one_int ) ) )
!= zero_zero_int )
| ( X0 = zero_zero_int )
| ~ ( is_int @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl163,zip_derived_cl3817]) ).
thf(zip_derived_cl3935,plain,
( ( zero_zero_int != zero_zero_int )
| ~ ( is_int @ ( plus_plus_int @ one_one_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) )
| ( ( plus_plus_int @ one_one_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) )
= zero_zero_int ) ),
inference('sup-',[status(thm)],[zip_derived_cl3822,zip_derived_cl3932]) ).
thf(zip_derived_cl3941,plain,
( ( ( plus_plus_int @ one_one_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) )
= zero_zero_int )
| ~ ( is_int @ ( plus_plus_int @ one_one_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3935]) ).
thf(zip_derived_cl4981,plain,
( ~ ( is_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) )
| ~ ( is_int @ one_one_int )
| ( ( plus_plus_int @ one_one_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) )
= zero_zero_int ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl3941]) ).
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_cl11,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(gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint,axiom,
is_int @ one_one_int ).
thf(zip_derived_cl2,plain,
is_int @ one_one_int,
inference(cnf,[status(esa)],[gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint]) ).
thf(zip_derived_cl4983,plain,
( ( plus_plus_int @ one_one_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) )
= zero_zero_int ),
inference(demod,[status(thm)],[zip_derived_cl4981,zip_derived_cl11,zip_derived_cl2]) ).
thf(fact_48_rel__simps_I2_J,axiom,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ pls ) @ pls ) ) ).
thf(zip_derived_cl77,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_cl163_004,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_98_Pls__def]) ).
thf(zip_derived_cl163_005,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_98_Pls__def]) ).
thf(zip_derived_cl3777,plain,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_int ) @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl163,zip_derived_cl163]) ).
thf(zip_derived_cl4986,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl4983,zip_derived_cl3777]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM925+3 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LPa2A6DZv6 true
% 0.16/0.35 % Computer : n006.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Fri Aug 25 08:59:08 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.16/0.35 % Running portfolio for 300 s
% 0.16/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.35 % Number of cores: 8
% 0.16/0.36 % Python version: Python 3.6.8
% 0.16/0.36 % Running in FO mode
% 0.21/0.61 % Total configuration time : 435
% 0.21/0.61 % Estimated wc time : 1092
% 0.21/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.22/1.18 % Solved by fo/fo3_bce.sh.
% 4.22/1.18 % BCE start: 1677
% 4.22/1.18 % BCE eliminated: 16
% 4.22/1.18 % PE start: 1661
% 4.22/1.18 logic: eq
% 4.22/1.18 % PE eliminated: 35
% 4.22/1.18 % done 553 iterations in 0.451s
% 4.22/1.18 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.22/1.18 % SZS output start Refutation
% See solution above
% 4.22/1.18
% 4.22/1.18
% 4.22/1.18 % Terminating...
% 4.22/1.23 % Runner terminated.
% 4.22/1.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------