TSTP Solution File: ITP095^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP095^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NCcUHEUTho true
% Computer : n023.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 05:22:08 EDT 2023
% Result : Theorem 29.00s 4.33s
% Output : Refutation 29.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 31
% Syntax : Number of formulae : 40 ( 12 unt; 24 typ; 0 def)
% Number of atoms : 29 ( 8 equ; 0 cnn)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 163 ( 6 ~; 0 |; 0 &; 144 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 10 con; 0-2 aty)
% ( 7 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 14 ( 7 ^; 7 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(real_type,type,
real: $tType ).
thf(poly_real_type,type,
poly_real: $tType ).
thf(int_type,type,
int: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(set_real_type,type,
set_real: $tType ).
thf(ring_1_Ints_real_type,type,
ring_1_Ints_real: set_real ).
thf(coeff_real_type,type,
coeff_real: poly_real > nat > real ).
thf(power_power_int_type,type,
power_power_int: int > nat > int ).
thf(a2_type,type,
a2: int ).
thf(ord_less_eq_real_type,type,
ord_less_eq_real: real > real > $o ).
thf(degree_real_type,type,
degree_real: poly_real > nat ).
thf(ring_1_of_int_real_type,type,
ring_1_of_int_real: int > real ).
thf(one_one_real_type,type,
one_one_real: real ).
thf(power_power_real_type,type,
power_power_real: real > nat > real ).
thf(divide_divide_real_type,type,
divide_divide_real: real > real > real ).
thf(poly_real2_type,type,
poly_real2: poly_real > real > real ).
thf(member_real_type,type,
member_real: real > set_real > $o ).
thf(zero_zero_real_type,type,
zero_zero_real: real ).
thf(b_type,type,
b: int ).
thf(ord_less_int_type,type,
ord_less_int: int > int > $o ).
thf(zero_zero_int_type,type,
zero_zero_int: int ).
thf(p_type,type,
p: poly_real ).
thf(n_type,type,
n: nat ).
thf(abs_abs_real_type,type,
abs_abs_real: real > real ).
thf(fact_5_no__root,axiom,
( ( poly_real2 @ p @ ( divide_divide_real @ ( ring_1_of_int_real @ a2 ) @ ( ring_1_of_int_real @ b ) ) )
!= zero_zero_real ) ).
thf(zip_derived_cl5,plain,
( ( poly_real2 @ p @ ( divide_divide_real @ ( ring_1_of_int_real @ a2 ) @ ( ring_1_of_int_real @ b ) ) )
!= zero_zero_real ),
inference(cnf,[status(esa)],[fact_5_no__root]) ).
thf(fact_3_b,axiom,
ord_less_int @ zero_zero_int @ b ).
thf(zip_derived_cl3,plain,
ord_less_int @ zero_zero_int @ b,
inference(cnf,[status(esa)],[fact_3_b]) ).
thf(fact_2_p_I1_J,axiom,
! [I: nat] : ( member_real @ ( coeff_real @ p @ I ) @ ring_1_Ints_real ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: nat] : ( member_real @ ( coeff_real @ p @ Y0 ) @ ring_1_Ints_real ) ),
inference(cnf,[status(esa)],[fact_2_p_I1_J]) ).
thf(fact_6_n__def,axiom,
( n
= ( degree_real @ p ) ) ).
thf(zip_derived_cl6,plain,
( n
= ( degree_real @ p ) ),
inference(cnf,[status(esa)],[fact_6_n__def]) ).
thf(fact_23_of__int__power,axiom,
! [Z: int,N: nat] :
( ( ring_1_of_int_real @ ( power_power_int @ Z @ N ) )
= ( power_power_real @ ( ring_1_of_int_real @ Z ) @ N ) ) ).
thf(zip_derived_cl23,plain,
( !!
@ ^ [Y0: int] :
( !!
@ ^ [Y1: nat] :
( ( ring_1_of_int_real @ ( power_power_int @ Y0 @ Y1 ) )
= ( power_power_real @ ( ring_1_of_int_real @ Y0 ) @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_23_of__int__power]) ).
thf(fact_154_int__poly__rat__no__root__ge,axiom,
! [P: poly_real,B: int,A: int] :
( ! [N2: nat] : ( member_real @ ( coeff_real @ P @ N2 ) @ ring_1_Ints_real )
=> ( ( ord_less_int @ zero_zero_int @ B )
=> ( ( ( poly_real2 @ P @ ( divide_divide_real @ ( ring_1_of_int_real @ A ) @ ( ring_1_of_int_real @ B ) ) )
!= zero_zero_real )
=> ( ord_less_eq_real @ ( divide_divide_real @ one_one_real @ ( power_power_real @ ( ring_1_of_int_real @ B ) @ ( degree_real @ P ) ) ) @ ( abs_abs_real @ ( poly_real2 @ P @ ( divide_divide_real @ ( ring_1_of_int_real @ A ) @ ( ring_1_of_int_real @ B ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl154,plain,
( !!
@ ^ [Y0: poly_real] :
( !!
@ ^ [Y1: int] :
( !!
@ ^ [Y2: int] :
( ( !!
@ ^ [Y3: nat] : ( member_real @ ( coeff_real @ Y0 @ Y3 ) @ ring_1_Ints_real ) )
=> ( ( ord_less_int @ zero_zero_int @ Y1 )
=> ( ( ( poly_real2 @ Y0 @ ( divide_divide_real @ ( ring_1_of_int_real @ Y2 ) @ ( ring_1_of_int_real @ Y1 ) ) )
!= zero_zero_real )
=> ( ord_less_eq_real @ ( divide_divide_real @ one_one_real @ ( power_power_real @ ( ring_1_of_int_real @ Y1 ) @ ( degree_real @ Y0 ) ) ) @ ( abs_abs_real @ ( poly_real2 @ Y0 @ ( divide_divide_real @ ( ring_1_of_int_real @ Y2 ) @ ( ring_1_of_int_real @ Y1 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_154_int__poly__rat__no__root__ge]) ).
thf(conj_0,conjecture,
ord_less_eq_real @ ( divide_divide_real @ one_one_real @ ( power_power_real @ ( ring_1_of_int_real @ b ) @ ( degree_real @ p ) ) ) @ ( abs_abs_real @ ( poly_real2 @ p @ ( divide_divide_real @ ( ring_1_of_int_real @ a2 ) @ ( ring_1_of_int_real @ b ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ord_less_eq_real @ ( divide_divide_real @ one_one_real @ ( power_power_real @ ( ring_1_of_int_real @ b ) @ ( degree_real @ p ) ) ) @ ( abs_abs_real @ ( poly_real2 @ p @ ( divide_divide_real @ ( ring_1_of_int_real @ a2 ) @ ( ring_1_of_int_real @ b ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl353,plain,
~ ( ord_less_eq_real @ ( divide_divide_real @ one_one_real @ ( power_power_real @ ( ring_1_of_int_real @ b ) @ ( degree_real @ p ) ) ) @ ( abs_abs_real @ ( poly_real2 @ p @ ( divide_divide_real @ ( ring_1_of_int_real @ a2 ) @ ( ring_1_of_int_real @ b ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2806,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl5,zip_derived_cl3,zip_derived_cl2,zip_derived_cl6,zip_derived_cl23,zip_derived_cl154,zip_derived_cl353]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ITP095^1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NCcUHEUTho true
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 12:00:56 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.56/0.70 % Total configuration time : 828
% 0.56/0.70 % Estimated wc time : 1656
% 0.56/0.70 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.79 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.81 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.85 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 29.00/4.33 % Solved by lams/15_e_short1.sh.
% 29.00/4.33 % done 275 iterations in 3.516s
% 29.00/4.33 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 29.00/4.33 % SZS output start Refutation
% See solution above
% 29.00/4.33
% 29.00/4.33
% 29.00/4.33 % Terminating...
% 29.32/4.40 % Runner terminated.
% 29.32/4.41 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------