TSTP Solution File: ITP097^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP097^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Xv5XWfgxis true
% Computer : n025.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 05:22:09 EDT 2023
% Result : Theorem 1.77s 0.96s
% Output : Refutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 26
% Syntax : Number of formulae : 45 ( 20 unt; 19 typ; 0 def)
% Number of atoms : 48 ( 20 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 306 ( 2 ~; 0 |; 0 &; 294 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 4 con; 0-2 aty)
% ( 10 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 32 ( 10 ^; 22 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(real_type,type,
real: $tType ).
thf(num_type,type,
num: $tType ).
thf(int_type,type,
int: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(nat2_type,type,
nat2: int > nat ).
thf(one_type,type,
one: num ).
thf(ord_less_eq_int_type,type,
ord_less_eq_int: int > int > $o ).
thf(ord_less_eq_real_type,type,
ord_less_eq_real: real > real > $o ).
thf(numeral_numeral_int_type,type,
numeral_numeral_int: num > int ).
thf(ring_1_of_int_real_type,type,
ring_1_of_int_real: int > real ).
thf(power_power_int_type,type,
power_power_int: int > nat > int ).
thf(semiri2110766477t_real_type,type,
semiri2110766477t_real: nat > real ).
thf(archim1371465213g_real_type,type,
archim1371465213g_real: real > int ).
thf(bit0_type,type,
bit0: num > num ).
thf(d_type,type,
d: int ).
thf(numeral_numeral_real_type,type,
numeral_numeral_real: num > real ).
thf(log_type,type,
log: real > real > real ).
thf(powr_real_type,type,
powr_real: real > real > real ).
thf(power_power_real_type,type,
power_power_real: real > nat > real ).
thf(fact_103__092_060open_0622_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_A_092_060le_062_A2_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062,axiom,
ord_less_eq_real @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ) ).
thf(zip_derived_cl88,plain,
ord_less_eq_real @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_103__092_060open_0622_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_A_092_060le_062_A2_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062]) ).
thf(fact_53__092_060open_062real__of__int_Ad_A_061_A2_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_092_060close_062,axiom,
( ( ring_1_of_int_real @ d )
= ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ).
thf(zip_derived_cl49,plain,
( ( ring_1_of_int_real @ d )
= ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ),
inference(cnf,[status(esa)],[fact_53__092_060open_062real__of__int_Ad_A_061_A2_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_092_060close_062]) ).
thf(fact_102__092_060open_0622_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_A_061_Areal__of__int_A_I2_A_094_Anat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062,axiom,
( ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) )
= ( ring_1_of_int_real @ ( power_power_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ) ) ).
thf(zip_derived_cl87,plain,
( ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) )
= ( ring_1_of_int_real @ ( power_power_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_102__092_060open_0622_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_A_061_Areal__of__int_A_I2_A_094_Anat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062]) ).
thf(fact_19_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_cl19,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_19_of__int__power]) ).
thf(zip_derived_cl614,plain,
! [X2: int] :
( !!
@ ^ [Y0: nat] :
( ( ring_1_of_int_real @ ( power_power_int @ X2 @ Y0 ) )
= ( power_power_real @ ( ring_1_of_int_real @ X2 ) @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl615,plain,
! [X2: int,X4: nat] :
( ( ring_1_of_int_real @ ( power_power_int @ X2 @ X4 ) )
= ( power_power_real @ ( ring_1_of_int_real @ X2 ) @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl614]) ).
thf(zip_derived_cl616,plain,
! [X2: int,X4: nat] :
( ( ring_1_of_int_real @ ( power_power_int @ X2 @ X4 ) )
= ( power_power_real @ ( ring_1_of_int_real @ X2 ) @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl615]) ).
thf(fact_30_of__int__numeral,axiom,
! [K: num] :
( ( ring_1_of_int_real @ ( numeral_numeral_int @ K ) )
= ( numeral_numeral_real @ K ) ) ).
thf(zip_derived_cl30,plain,
( !!
@ ^ [Y0: num] :
( ( ring_1_of_int_real @ ( numeral_numeral_int @ Y0 ) )
= ( numeral_numeral_real @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_30_of__int__numeral]) ).
thf(zip_derived_cl386,plain,
! [X2: num] :
( ( ring_1_of_int_real @ ( numeral_numeral_int @ X2 ) )
= ( numeral_numeral_real @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl387,plain,
! [X2: num] :
( ( ring_1_of_int_real @ ( numeral_numeral_int @ X2 ) )
= ( numeral_numeral_real @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl386]) ).
thf(zip_derived_cl637,plain,
( ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) )
= ( power_power_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl616,zip_derived_cl387]) ).
thf(fact_3_of__int__le__numeral__power__cancel__iff,axiom,
! [A: int,X: num,N: nat] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ A ) @ ( power_power_real @ ( numeral_numeral_real @ X ) @ N ) )
= ( ord_less_eq_int @ A @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: int] :
( !!
@ ^ [Y1: num] :
( !!
@ ^ [Y2: nat] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ Y0 ) @ ( power_power_real @ ( numeral_numeral_real @ Y1 ) @ Y2 ) )
= ( ord_less_eq_int @ Y0 @ ( power_power_int @ ( numeral_numeral_int @ Y1 ) @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_3_of__int__le__numeral__power__cancel__iff]) ).
thf(zip_derived_cl347,plain,
! [X2: int] :
( !!
@ ^ [Y0: num] :
( !!
@ ^ [Y1: nat] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ X2 ) @ ( power_power_real @ ( numeral_numeral_real @ Y0 ) @ Y1 ) )
= ( ord_less_eq_int @ X2 @ ( power_power_int @ ( numeral_numeral_int @ Y0 ) @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl348,plain,
! [X2: int,X4: num] :
( !!
@ ^ [Y0: nat] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ X2 ) @ ( power_power_real @ ( numeral_numeral_real @ X4 ) @ Y0 ) )
= ( ord_less_eq_int @ X2 @ ( power_power_int @ ( numeral_numeral_int @ X4 ) @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl347]) ).
thf(zip_derived_cl349,plain,
! [X2: int,X4: num,X6: nat] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ X2 ) @ ( power_power_real @ ( numeral_numeral_real @ X4 ) @ X6 ) )
= ( ord_less_eq_int @ X2 @ ( power_power_int @ ( numeral_numeral_int @ X4 ) @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl348]) ).
thf(zip_derived_cl350,plain,
! [X2: int,X4: num,X6: nat] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ X2 ) @ ( power_power_real @ ( numeral_numeral_real @ X4 ) @ X6 ) )
= ( ord_less_eq_int @ X2 @ ( power_power_int @ ( numeral_numeral_int @ X4 ) @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl349]) ).
thf(conj_0,conjecture,
ord_less_eq_int @ d @ ( power_power_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ord_less_eq_int @ d @ ( power_power_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl320,plain,
~ ( ord_less_eq_int @ d @ ( power_power_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl671,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl49,zip_derived_cl637,zip_derived_cl350,zip_derived_cl320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP097^1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Xv5XWfgxis true
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 11:32:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.66 % Estimated wc time : 1656
% 0.21/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.77/0.96 % Solved by lams/30_sp5.sh.
% 1.77/0.96 % done 0 iterations in 0.140s
% 1.77/0.96 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.77/0.96 % SZS output start Refutation
% See solution above
% 1.77/0.96
% 1.77/0.96
% 1.77/0.96 % Terminating...
% 2.26/1.06 % Runner terminated.
% 2.26/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------