%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP130^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wwWaR8P26k true
% Computer : n029.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 Oct 2 04:38:55 PM UTC 2025
% Result : Theorem 0.50s 0.85s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 8 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 117 ( 4 ~; 0 |; 0 &; 107 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 6 con; 0-2 aty)
% ( 6 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 18 ( 6 ^; 12 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(real_type,type,
real: $tType ).
thf(int_type,type,
int: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(na_type,type,
na: int ).
thf(suc_type,type,
suc: nat > nat ).
thf(power_power_int_type,type,
power_power_int: int > nat > int ).
thf(p_type,type,
p: nat ).
thf(power_power_real_type,type,
power_power_real: real > nat > real ).
thf(ring_1_of_int_real_type,type,
ring_1_of_int_real: int > real ).
thf(ya_type,type,
ya: int ).
thf(ord_less_int_type,type,
ord_less_int: int > int > $o ).
thf(pm_type,type,
pm: nat ).
thf(ord_less_real_type,type,
ord_less_real: real > real > $o ).
thf(conj_0,conjecture,
ord_less_real @ ( ring_1_of_int_real @ na ) @ ( power_power_real @ ( ring_1_of_int_real @ ya ) @ ( suc @ pm ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ord_less_real @ ( ring_1_of_int_real @ na ) @ ( power_power_real @ ( ring_1_of_int_real @ ya ) @ ( suc @ pm ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl319,plain,
~ ( ord_less_real @ ( ring_1_of_int_real @ na ) @ ( power_power_real @ ( ring_1_of_int_real @ ya ) @ ( suc @ pm ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_86_p,axiom,
( p
= ( suc @ pm ) ) ).
thf(zip_derived_cl86,plain,
( p
= ( suc @ pm ) ),
inference(cnf,[status(esa)],[fact_86_p]) ).
thf(zip_derived_cl320,plain,
~ ( ord_less_real @ ( ring_1_of_int_real @ na ) @ ( power_power_real @ ( ring_1_of_int_real @ ya ) @ p ) ),
inference(demod,[status(thm)],[zip_derived_cl319,zip_derived_cl86]) ).
thf(fact_3_of__int__power__less__of__int__cancel__iff,axiom,
! [X: int,B: int,W: nat] :
( ( ord_less_real @ ( ring_1_of_int_real @ X ) @ ( power_power_real @ ( ring_1_of_int_real @ B ) @ W ) )
= ( ord_less_int @ X @ ( power_power_int @ B @ W ) ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: int] :
( !!
@ ^ [Y1: int] :
( !!
@ ^ [Y2: nat] :
( ( ord_less_real @ ( ring_1_of_int_real @ Y0 ) @ ( power_power_real @ ( ring_1_of_int_real @ Y1 ) @ Y2 ) )
= ( ord_less_int @ Y0 @ ( power_power_int @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_3_of__int__power__less__of__int__cancel__iff]) ).
thf(zip_derived_cl360,plain,
! [X2: int] :
( !!
@ ^ [Y0: int] :
( !!
@ ^ [Y1: nat] :
( ( ord_less_real @ ( ring_1_of_int_real @ X2 ) @ ( power_power_real @ ( ring_1_of_int_real @ Y0 ) @ Y1 ) )
= ( ord_less_int @ X2 @ ( power_power_int @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl361,plain,
! [X2: int,X4: int] :
( !!
@ ^ [Y0: nat] :
( ( ord_less_real @ ( ring_1_of_int_real @ X2 ) @ ( power_power_real @ ( ring_1_of_int_real @ X4 ) @ Y0 ) )
= ( ord_less_int @ X2 @ ( power_power_int @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl360]) ).
thf(zip_derived_cl362,plain,
! [X2: int,X4: int,X6: nat] :
( ( ord_less_real @ ( ring_1_of_int_real @ X2 ) @ ( power_power_real @ ( ring_1_of_int_real @ X4 ) @ X6 ) )
= ( ord_less_int @ X2 @ ( power_power_int @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl361]) ).
thf(zip_derived_cl363,plain,
! [X2: int,X4: int,X6: nat] :
( ( ord_less_real @ ( ring_1_of_int_real @ X2 ) @ ( power_power_real @ ( ring_1_of_int_real @ X4 ) @ X6 ) )
= ( ord_less_int @ X2 @ ( power_power_int @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl362]) ).
thf(zip_derived_cl367,plain,
~ ( ord_less_int @ na @ ( power_power_int @ ya @ p ) ),
inference('sup+',[status(thm)],[zip_derived_cl320,zip_derived_cl363]) ).
thf(fact_81_yyn,axiom,
ord_less_int @ na @ ( power_power_int @ ya @ p ) ).
thf(zip_derived_cl81,plain,
ord_less_int @ na @ ( power_power_int @ ya @ p ),
inference(cnf,[status(esa)],[fact_81_yyn]) ).
thf(zip_derived_cl374,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl367,zip_derived_cl81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ITP130^1 : TPTP v9.2.0. Released v7.5.0.
% 0.09/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wwWaR8P26k true
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 15:30:53 EDT 2025
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Running portfolio for 300 s
% 0.11/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in HO mode
% 0.47/0.61 % Total configuration time : 828
% 0.47/0.61 % Estimated wc time : 1656
% 0.47/0.61 % Estimated cpu time (8 cpus) : 207.0
% 0.47/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.47/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.48/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.48/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.48/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.48/0.72 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.48/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.48/0.74 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.48/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.50/0.85 % Solved by lams/35_full_unif4.sh.
% 0.50/0.85 % done 38 iterations in 0.105s
% 0.50/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.85 % SZS output start Refutation
% See solution above
% 0.50/0.85
% 0.50/0.85
% 0.50/0.85 % Terminating...
% 1.99/0.94 % Runner terminated.
% 1.99/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------