TSTP Solution File: NUM925+5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM925+5 : 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.BgZaqJBcj5 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 12:44:54 EDT 2023
% Result : Theorem 0.15s 0.73s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 34
% Syntax : Number of formulae : 70 ( 42 unt; 19 typ; 0 def)
% Number of atoms : 77 ( 44 equ; 0 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 319 ( 23 ~; 19 |; 4 &; 270 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 5 con; 0-3 aty)
% Number of variables : 27 ( 0 ^; 27 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(pls_type,type,
pls: $i ).
thf(power_type,type,
power: $i > $o ).
thf(zero_neq_one_type,type,
zero_neq_one: $i > $o ).
thf(ti_type,type,
ti: $i > $i > $i ).
thf(bit1_type,type,
bit1: $i > $i ).
thf(power_power_type,type,
power_power: $i > $i > $i > $i ).
thf(mult_zero_type,type,
mult_zero: $i > $o ).
thf(ord_less_type,type,
ord_less: $i > $i > $i > $o ).
thf(bit0_type,type,
bit0: $i > $i ).
thf(n_type,type,
n: $i ).
thf(plus_plus_type,type,
plus_plus: $i > $i > $i > $i ).
thf(number_ring_type,type,
number_ring: $i > $o ).
thf(int_type,type,
int: $i ).
thf(no_zero_divisors_type,type,
no_zero_divisors: $i > $o ).
thf(number_number_of_type,type,
number_number_of: $i > $i > $i ).
thf(zero_zero_type,type,
zero_zero: $i > $i ).
thf(semiring_1_of_nat_type,type,
semiring_1_of_nat: $i > $i > $i ).
thf(one_one_type,type,
one_one: $i > $i ).
thf(nat_type,type,
nat: $i ).
thf(fact_0_n1pos,axiom,
ord_less @ int @ ( zero_zero @ int ) @ ( plus_plus @ int @ ( one_one @ int ) @ ( semiring_1_of_nat @ int @ n ) ) ).
thf(zip_derived_cl28,plain,
ord_less @ int @ ( zero_zero @ int ) @ ( plus_plus @ int @ ( one_one @ int ) @ ( semiring_1_of_nat @ int @ n ) ),
inference(cnf,[status(esa)],[fact_0_n1pos]) ).
thf(fact_73_Pls__def,axiom,
( pls
= ( zero_zero @ int ) ) ).
thf(zip_derived_cl126,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_73_Pls__def]) ).
thf(zip_derived_cl1364,plain,
ord_less @ int @ pls @ ( plus_plus @ int @ ( one_one @ int ) @ ( semiring_1_of_nat @ int @ n ) ),
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl126]) ).
thf(conj_0,conjecture,
( ( power_power @ int @ ( plus_plus @ int @ ( one_one @ int ) @ ( semiring_1_of_nat @ int @ n ) ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= ( zero_zero @ int ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( power_power @ int @ ( plus_plus @ int @ ( one_one @ 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_cl171,plain,
( ( power_power @ int @ ( plus_plus @ int @ ( one_one @ 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(zip_derived_cl126_001,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_73_Pls__def]) ).
thf(zip_derived_cl1523,plain,
( ( power_power @ int @ ( plus_plus @ int @ ( one_one @ int ) @ ( semiring_1_of_nat @ int @ n ) ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= pls ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl126]) ).
thf(fact_75_add__Pls__right,axiom,
! [K: $i] :
( ( plus_plus @ int @ K @ pls )
= K ) ).
thf(zip_derived_cl128,plain,
! [X0: $i] :
( ( plus_plus @ int @ X0 @ pls )
= X0 ),
inference(cnf,[status(esa)],[fact_75_add__Pls__right]) ).
thf(fact_92_Bit1__def,axiom,
! [K: $i] :
( ( bit1 @ K )
= ( plus_plus @ int @ ( plus_plus @ int @ ( one_one @ int ) @ K ) @ K ) ) ).
thf(zip_derived_cl147,plain,
! [X0: $i] :
( ( bit1 @ X0 )
= ( plus_plus @ int @ ( plus_plus @ int @ ( one_one @ int ) @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[fact_92_Bit1__def]) ).
thf(zip_derived_cl1739,plain,
( ( bit1 @ pls )
= ( plus_plus @ int @ ( one_one @ int ) @ pls ) ),
inference('sup+',[status(thm)],[zip_derived_cl128,zip_derived_cl147]) ).
thf(zip_derived_cl128_002,plain,
! [X0: $i] :
( ( plus_plus @ int @ X0 @ pls )
= X0 ),
inference(cnf,[status(esa)],[fact_75_add__Pls__right]) ).
thf(zip_derived_cl1740,plain,
( ( bit1 @ pls )
= ( one_one @ int ) ),
inference(demod,[status(thm)],[zip_derived_cl1739,zip_derived_cl128]) ).
thf(zip_derived_cl1749,plain,
( ( power_power @ int @ ( plus_plus @ int @ ( one_one @ int ) @ ( semiring_1_of_nat @ int @ n ) ) @ ( number_number_of @ nat @ ( bit0 @ ( one_one @ int ) ) ) )
= pls ),
inference(demod,[status(thm)],[zip_derived_cl1523,zip_derived_cl1740]) ).
thf(arity_Int_Oint___Rings_Ono__zero__divisors,axiom,
no_zero_divisors @ int ).
thf(zip_derived_cl156,plain,
no_zero_divisors @ int,
inference(cnf,[status(esa)],[arity_Int_Oint___Rings_Ono__zero__divisors]) ).
thf(arity_Int_Oint___Rings_Omult__zero,axiom,
mult_zero @ int ).
thf(zip_derived_cl161,plain,
mult_zero @ int,
inference(cnf,[status(esa)],[arity_Int_Oint___Rings_Omult__zero]) ).
thf(fact_86_power__eq__0__iff__number__of,axiom,
! [X_a: $i] :
( ( ( power @ X_a )
& ( mult_zero @ X_a )
& ( no_zero_divisors @ X_a )
& ( zero_neq_one @ X_a ) )
=> ! [A_2: $i,Wa: $i] :
( ( ( power_power @ X_a @ A_2 @ ( number_number_of @ nat @ Wa ) )
= ( zero_zero @ X_a ) )
<=> ( ( ( ti @ X_a @ A_2 )
= ( zero_zero @ X_a ) )
& ( ( number_number_of @ nat @ Wa )
!= ( zero_zero @ nat ) ) ) ) ) ).
thf(zip_derived_cl141,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( power_power @ X0 @ X1 @ ( number_number_of @ nat @ X2 ) )
!= ( zero_zero @ X0 ) )
| ( ( ti @ X0 @ X1 )
= ( zero_zero @ X0 ) )
| ~ ( zero_neq_one @ X0 )
| ~ ( no_zero_divisors @ X0 )
| ~ ( mult_zero @ X0 )
| ~ ( power @ X0 ) ),
inference(cnf,[status(esa)],[fact_86_power__eq__0__iff__number__of]) ).
thf(zip_derived_cl650,plain,
! [X0: $i,X1: $i] :
( ~ ( power @ int )
| ~ ( no_zero_divisors @ int )
| ~ ( zero_neq_one @ int )
| ( ( ti @ int @ X1 )
= ( zero_zero @ int ) )
| ( ( power_power @ int @ X1 @ ( number_number_of @ nat @ X0 ) )
!= ( zero_zero @ int ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl161,zip_derived_cl141]) ).
thf(zip_derived_cl694,plain,
! [X0: $i,X1: $i] :
( ( int != int )
| ( ( power_power @ int @ X0 @ ( number_number_of @ nat @ X1 ) )
!= ( zero_zero @ int ) )
| ( ( ti @ int @ X0 )
= ( zero_zero @ int ) )
| ~ ( zero_neq_one @ int )
| ~ ( power @ int ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl156,zip_derived_cl650]) ).
thf(zip_derived_cl2201,plain,
! [X0: $i,X1: $i] :
( ~ ( power @ int )
| ~ ( zero_neq_one @ int )
| ( ( ti @ int @ X0 )
= ( zero_zero @ int ) )
| ( ( power_power @ int @ X0 @ ( number_number_of @ nat @ X1 ) )
!= ( zero_zero @ int ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl694]) ).
thf(arity_Int_Oint___Power_Opower,axiom,
power @ int ).
thf(zip_derived_cl163,plain,
power @ int,
inference(cnf,[status(esa)],[arity_Int_Oint___Power_Opower]) ).
thf(arity_Int_Oint___Rings_Ozero__neq__one,axiom,
zero_neq_one @ int ).
thf(zip_derived_cl159,plain,
zero_neq_one @ int,
inference(cnf,[status(esa)],[arity_Int_Oint___Rings_Ozero__neq__one]) ).
thf(arity_Int_Oint___Int_Onumber__ring,axiom,
number_ring @ int ).
thf(zip_derived_cl162,plain,
number_ring @ int,
inference(cnf,[status(esa)],[arity_Int_Oint___Int_Onumber__ring]) ).
thf(fact_84_add__numeral__0,axiom,
! [X_a: $i] :
( ( number_ring @ X_a )
=> ! [A_1: $i] :
( ( plus_plus @ X_a @ ( number_number_of @ X_a @ pls ) @ A_1 )
= ( ti @ X_a @ A_1 ) ) ) ).
thf(zip_derived_cl137,plain,
! [X0: $i,X1: $i] :
( ( ( plus_plus @ X0 @ ( number_number_of @ X0 @ pls ) @ X1 )
= ( ti @ X0 @ X1 ) )
| ~ ( number_ring @ X0 ) ),
inference(cnf,[status(esa)],[fact_84_add__numeral__0]) ).
thf(zip_derived_cl775,plain,
! [X0: $i] :
( ( plus_plus @ int @ ( number_number_of @ int @ pls ) @ X0 )
= ( ti @ int @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl162,zip_derived_cl137]) ).
thf(fact_19_zero__is__num__zero,axiom,
( ( zero_zero @ int )
= ( number_number_of @ int @ pls ) ) ).
thf(zip_derived_cl48,plain,
( ( zero_zero @ int )
= ( number_number_of @ int @ pls ) ),
inference(cnf,[status(esa)],[fact_19_zero__is__num__zero]) ).
thf(zip_derived_cl126_003,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_73_Pls__def]) ).
thf(zip_derived_cl1246,plain,
( pls
= ( number_number_of @ int @ pls ) ),
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl126]) ).
thf(fact_76_add__Pls,axiom,
! [K: $i] :
( ( plus_plus @ int @ pls @ K )
= K ) ).
thf(zip_derived_cl129,plain,
! [X0: $i] :
( ( plus_plus @ int @ pls @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_76_add__Pls]) ).
thf(zip_derived_cl1689,plain,
! [X0: $i] :
( X0
= ( ti @ int @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl775,zip_derived_cl1246,zip_derived_cl129]) ).
thf(zip_derived_cl126_004,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_73_Pls__def]) ).
thf(zip_derived_cl126_005,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_73_Pls__def]) ).
thf(zip_derived_cl2202,plain,
! [X0: $i,X1: $i] :
( ( X0 = pls )
| ( ( power_power @ int @ X0 @ ( number_number_of @ nat @ X1 ) )
!= pls ) ),
inference(demod,[status(thm)],[zip_derived_cl2201,zip_derived_cl163,zip_derived_cl159,zip_derived_cl1689,zip_derived_cl126,zip_derived_cl126]) ).
thf(zip_derived_cl2357,plain,
( ( pls != pls )
| ( ( plus_plus @ int @ ( one_one @ int ) @ ( semiring_1_of_nat @ int @ n ) )
= pls ) ),
inference('sup-',[status(thm)],[zip_derived_cl1749,zip_derived_cl2202]) ).
thf(zip_derived_cl2364,plain,
( ( plus_plus @ int @ ( one_one @ int ) @ ( semiring_1_of_nat @ int @ n ) )
= pls ),
inference(simplify,[status(thm)],[zip_derived_cl2357]) ).
thf(fact_32_rel__simps_I2_J,axiom,
~ ( ord_less @ int @ pls @ pls ) ).
thf(zip_derived_cl64,plain,
~ ( ord_less @ int @ pls @ pls ),
inference(cnf,[status(esa)],[fact_32_rel__simps_I2_J]) ).
thf(zip_derived_cl2365,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1364,zip_derived_cl2364,zip_derived_cl64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM925+5 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BgZaqJBcj5 true
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Fri Aug 25 13:16:58 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.10/0.29 % Running portfolio for 300 s
% 0.10/0.29 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.29 % Number of cores: 8
% 0.10/0.30 % Python version: Python 3.6.8
% 0.10/0.30 % Running in FO mode
% 0.15/0.51 % Total configuration time : 435
% 0.15/0.51 % Estimated wc time : 1092
% 0.15/0.51 % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.58 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.15/0.73 % Solved by fo/fo3_bce.sh.
% 0.15/0.73 % BCE start: 172
% 0.15/0.73 % BCE eliminated: 0
% 0.15/0.73 % PE start: 172
% 0.15/0.73 logic: eq
% 0.15/0.73 % PE eliminated: -26
% 0.15/0.73 % done 276 iterations in 0.154s
% 0.15/0.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.15/0.73 % SZS output start Refutation
% See solution above
% 0.15/0.73
% 0.15/0.73
% 0.15/0.73 % Terminating...
% 0.15/0.81 % Runner terminated.
% 2.16/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------