TSTP Solution File: NUM925+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% 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/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3U2dVM037b true
% Computer : n012.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 0.57s 0.95s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 24
% Syntax : Number of formulae : 44 ( 23 unt; 17 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 : 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 : 5 ( 0 ^; 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(hAPP_nat_int_type,type,
hAPP_nat_int: $i > $i > $i ).
thf(n_type,type,
n: $i ).
thf(plus_plus_int_type,type,
plus_plus_int: $i > $i ).
thf(zero_zero_int_type,type,
zero_zero_int: $i ).
thf(number_number_of_nat_type,type,
number_number_of_nat: $i > $i ).
thf(number_number_of_int_type,type,
number_number_of_int: $i > $i ).
thf(semiri1621563631at_int_type,type,
semiri1621563631at_int: $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(pls_type,type,
pls: $i ).
thf(one_one_int_type,type,
one_one_int: $i ).
thf(power_power_int_type,type,
power_power_int: $i > $i ).
thf(hAPP_int_int_type,type,
hAPP_int_int: $i > $i > $i ).
thf(bit0_type,type,
bit0: $i > $i ).
thf(hAPP_i1948725293t_bool_type,type,
hAPP_i1948725293t_bool: $i > $i > $i ).
thf(bit1_type,type,
bit1: $i > $i ).
thf(hAPP_int_bool_type,type,
hAPP_int_bool: $i > $i > $i ).
thf(ord_less_int_type,type,
ord_less_int: $i ).
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_cl923,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_cl148,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_cl33,plain,
( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) ),
inference(cnf,[status(esa)],[fact_25_semiring__norm_I110_J]) ).
thf(zip_derived_cl148_001,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_98_Pls__def]) ).
thf(fact_176_number__of__is__id,axiom,
! [K: $i] :
( ( number_number_of_int @ K )
= K ) ).
thf(zip_derived_cl242,plain,
! [X0: $i] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_176_number__of__is__id]) ).
thf(zip_derived_cl1110,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl148,zip_derived_cl242]) ).
thf(zip_derived_cl1183,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_cl923,zip_derived_cl148,zip_derived_cl1110]) ).
thf(fact_10_zero__eq__power2,axiom,
! [A_24: $i] :
( ( ( 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_cl13,plain,
! [X0: $i] :
( ( 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_cl148_002,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_98_Pls__def]) ).
thf(zip_derived_cl1110_003,plain,
( one_one_int
= ( bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl148,zip_derived_cl242]) ).
thf(zip_derived_cl1262,plain,
! [X0: $i] :
( ( 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_cl13,zip_derived_cl148,zip_derived_cl1110]) ).
thf(zip_derived_cl1264,plain,
( ( zero_zero_int != zero_zero_int )
| ( ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) )
= zero_zero_int ) ),
inference('sup-',[status(thm)],[zip_derived_cl1183,zip_derived_cl1262]) ).
thf(zip_derived_cl1268,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_cl1264]) ).
thf(fact_48_rel__simps_I2_J,axiom,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ pls ) @ pls ) ) ).
thf(zip_derived_cl62,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_cl148_004,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_98_Pls__def]) ).
thf(zip_derived_cl148_005,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_98_Pls__def]) ).
thf(zip_derived_cl1140,plain,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_int ) @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl148,zip_derived_cl148]) ).
thf(zip_derived_cl1293,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl1268,zip_derived_cl1140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM925+2 : 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.3U2dVM037b true
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 25 13:26:26 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.22/0.69 % Total configuration time : 435
% 0.22/0.69 % Estimated wc time : 1092
% 0.22/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.95 % Solved by fo/fo3_bce.sh.
% 0.57/0.95 % BCE start: 924
% 0.57/0.95 % BCE eliminated: 0
% 0.57/0.95 % PE start: 924
% 0.57/0.95 logic: eq
% 0.57/0.95 % PE eliminated: 32
% 0.57/0.95 % done 147 iterations in 0.185s
% 0.57/0.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.95 % SZS output start Refutation
% See solution above
% 0.57/0.95
% 0.57/0.95
% 0.57/0.95 % Terminating...
% 1.84/0.98 % Runner terminated.
% 1.86/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------