TSTP Solution File: ITP131^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP131^1 : 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.AAvYHP9R3d true
% Computer : n002.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 05:22:22 EDT 2023
% Result : Theorem 7.21s 1.49s
% Output : Refutation 7.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 28
% Syntax : Number of formulae : 49 ( 29 unt; 13 typ; 0 def)
% Number of atoms : 60 ( 25 equ; 1 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 200 ( 3 ~; 0 |; 0 &; 186 @)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 12 usr; 7 con; 0-2 aty)
% ( 7 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 49 ( 17 ^; 32 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(zero_zero_nat_type,type,
zero_zero_nat: nat ).
thf('#l_lift3_type',type,
'#l_lift3': nat > nat > nat ).
thf(p_type,type,
p: nat > nat ).
thf(i_type,type,
i: nat ).
thf(plus_plus_nat_type,type,
plus_plus_nat: nat > nat > nat ).
thf(ord_less_nat_type,type,
ord_less_nat: nat > nat > $o ).
thf(k_type,type,
k: nat ).
thf(ord_less_eq_nat_type,type,
ord_less_eq_nat: nat > nat > $o ).
thf('#l_lift2_type',type,
'#l_lift2': nat > nat > nat ).
thf(times_times_nat_type,type,
times_times_nat: nat > nat > nat ).
thf(n_type,type,
n: nat ).
thf(minus_minus_nat_type,type,
minus_minus_nat: nat > nat > nat ).
thf(fact_2_upper__bound,axiom,
ord_less_eq_nat @ ( plus_plus_nat @ ( times_times_nat @ ( p @ i ) @ i ) @ ( times_times_nat @ ( p @ k ) @ k ) ) @ n ).
thf(zip_derived_cl2,plain,
ord_less_eq_nat @ ( plus_plus_nat @ ( times_times_nat @ ( p @ i ) @ i ) @ ( times_times_nat @ ( p @ k ) @ k ) ) @ n,
inference(cnf,[status(esa)],[fact_2_upper__bound]) ).
thf(fact_129_add_Ocommute,axiom,
( plus_plus_nat
= ( ^ [A2: nat,B2: nat] : ( plus_plus_nat @ B2 @ A2 ) ) ) ).
thf(zip_derived_cl135,plain,
( plus_plus_nat
= ( ^ [Y0: nat,Y1: nat] : ( plus_plus_nat @ Y1 @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_129_add_Ocommute]) ).
thf(zip_derived_cl136,plain,
! [X1: nat,X2: nat] :
( ( '#l_lift2' @ X1 @ X2 )
= ( plus_plus_nat @ X2 @ X1 ) ),
define([status(thm)]) ).
thf(zip_derived_cl252,plain,
ord_less_eq_nat @ ( '#l_lift2' @ ( times_times_nat @ ( p @ k ) @ k ) @ ( times_times_nat @ ( p @ i ) @ i ) ) @ n,
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl136]) ).
thf(fact_136_mult_Ocommute,axiom,
( times_times_nat
= ( ^ [A2: nat,B2: nat] : ( times_times_nat @ B2 @ A2 ) ) ) ).
thf(zip_derived_cl144,plain,
( times_times_nat
= ( ^ [Y0: nat,Y1: nat] : ( times_times_nat @ Y1 @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_136_mult_Ocommute]) ).
thf(zip_derived_cl145,plain,
! [X1: nat,X2: nat] :
( ( '#l_lift3' @ X1 @ X2 )
= ( times_times_nat @ X2 @ X1 ) ),
define([status(thm)]) ).
thf(zip_derived_cl145_001,plain,
! [X1: nat,X2: nat] :
( ( '#l_lift3' @ X1 @ X2 )
= ( times_times_nat @ X2 @ X1 ) ),
define([status(thm)]) ).
thf(zip_derived_cl264,plain,
ord_less_eq_nat @ ( '#l_lift2' @ ( '#l_lift3' @ k @ ( p @ k ) ) @ ( '#l_lift3' @ i @ ( p @ i ) ) ) @ n,
inference(demod,[status(thm)],[zip_derived_cl252,zip_derived_cl145,zip_derived_cl145]) ).
thf(fact_3_lower__bound,axiom,
ord_less_nat @ n @ ( plus_plus_nat @ ( times_times_nat @ ( p @ i ) @ i ) @ ( times_times_nat @ ( p @ k ) @ k ) ) ).
thf(zip_derived_cl3,plain,
ord_less_nat @ n @ ( plus_plus_nat @ ( times_times_nat @ ( p @ i ) @ i ) @ ( times_times_nat @ ( p @ k ) @ k ) ),
inference(cnf,[status(esa)],[fact_3_lower__bound]) ).
thf(zip_derived_cl136_002,plain,
! [X1: nat,X2: nat] :
( ( '#l_lift2' @ X1 @ X2 )
= ( plus_plus_nat @ X2 @ X1 ) ),
define([status(thm)]) ).
thf(zip_derived_cl253,plain,
ord_less_nat @ n @ ( '#l_lift2' @ ( times_times_nat @ ( p @ k ) @ k ) @ ( times_times_nat @ ( p @ i ) @ i ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl136]) ).
thf(zip_derived_cl145_003,plain,
! [X1: nat,X2: nat] :
( ( '#l_lift3' @ X1 @ X2 )
= ( times_times_nat @ X2 @ X1 ) ),
define([status(thm)]) ).
thf(zip_derived_cl145_004,plain,
! [X1: nat,X2: nat] :
( ( '#l_lift3' @ X1 @ X2 )
= ( times_times_nat @ X2 @ X1 ) ),
define([status(thm)]) ).
thf(zip_derived_cl265,plain,
ord_less_nat @ n @ ( '#l_lift2' @ ( '#l_lift3' @ k @ ( p @ k ) ) @ ( '#l_lift3' @ i @ ( p @ i ) ) ),
inference(demod,[status(thm)],[zip_derived_cl253,zip_derived_cl145,zip_derived_cl145]) ).
thf(zip_derived_cl135_005,plain,
( plus_plus_nat
= ( ^ [Y0: nat,Y1: nat] : ( plus_plus_nat @ Y1 @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_129_add_Ocommute]) ).
thf(zip_derived_cl136_006,plain,
! [X1: nat,X2: nat] :
( ( '#l_lift2' @ X1 @ X2 )
= ( plus_plus_nat @ X2 @ X1 ) ),
define([status(thm)]) ).
thf(zip_derived_cl137,plain,
plus_plus_nat = '#l_lift2',
inference(lambda_lifting,[status(thm)],[zip_derived_cl135,zip_derived_cl136]) ).
thf(fact_68_diff__is__0__eq,axiom,
! [M: nat,N: nat] :
( ( ( minus_minus_nat @ M @ N )
= zero_zero_nat )
<=> ( ord_less_eq_nat @ M @ N ) ) ).
thf(zip_derived_cl74,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ( minus_minus_nat @ Y0 @ Y1 )
= zero_zero_nat )
<=> ( ord_less_eq_nat @ Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_68_diff__is__0__eq]) ).
thf(zip_derived_cl504,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( ( ( minus_minus_nat @ X2 @ Y0 )
= zero_zero_nat )
<=> ( ord_less_eq_nat @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl505,plain,
! [X2: nat,X4: nat] :
( ( ( minus_minus_nat @ X2 @ X4 )
= zero_zero_nat )
<=> ( ord_less_eq_nat @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl504]) ).
thf(zip_derived_cl506,plain,
! [X2: nat,X4: nat] :
( ( ( minus_minus_nat @ X2 @ X4 )
= zero_zero_nat )
= ( ord_less_eq_nat @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl505]) ).
thf(fact_66_zero__less__diff,axiom,
! [N: nat,M: nat] :
( ( ord_less_nat @ zero_zero_nat @ ( minus_minus_nat @ N @ M ) )
= ( ord_less_nat @ M @ N ) ) ).
thf(zip_derived_cl72,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ord_less_nat @ zero_zero_nat @ ( minus_minus_nat @ Y0 @ Y1 ) )
= ( ord_less_nat @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_66_zero__less__diff]) ).
thf(zip_derived_cl507,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( ( ord_less_nat @ zero_zero_nat @ ( minus_minus_nat @ X2 @ Y0 ) )
= ( ord_less_nat @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl508,plain,
! [X2: nat,X4: nat] :
( ( ord_less_nat @ zero_zero_nat @ ( minus_minus_nat @ X2 @ X4 ) )
= ( ord_less_nat @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl507]) ).
thf(zip_derived_cl509,plain,
! [X2: nat,X4: nat] :
( ( ord_less_nat @ zero_zero_nat @ ( minus_minus_nat @ X2 @ X4 ) )
= ( ord_less_nat @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl508]) ).
thf(zip_derived_cl136_007,plain,
! [X1: nat,X2: nat] :
( ( '#l_lift2' @ X1 @ X2 )
= ( plus_plus_nat @ X2 @ X1 ) ),
define([status(thm)]) ).
thf(fact_142_less__irrefl__nat,axiom,
! [N: nat] :
~ ( ord_less_nat @ N @ N ) ).
thf(zip_derived_cl152,plain,
( !!
@ ^ [Y0: nat] : ( (~) @ ( ord_less_nat @ Y0 @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_142_less__irrefl__nat]) ).
thf(zip_derived_cl257,plain,
! [X2: nat] :
~ ( ord_less_nat @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl152]) ).
thf(zip_derived_cl1202,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl264,zip_derived_cl265,zip_derived_cl137,zip_derived_cl506,zip_derived_cl509,zip_derived_cl136,zip_derived_cl257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ITP131^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AAvYHP9R3d true
% 0.09/0.30 % Computer : n002.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Sun Aug 27 13:35:18 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.30 % Python version: Python 3.6.8
% 0.09/0.30 % Running in HO mode
% 0.14/0.56 % Total configuration time : 828
% 0.14/0.56 % Estimated wc time : 1656
% 0.14/0.56 % Estimated cpu time (8 cpus) : 207.0
% 0.14/0.61 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.14/0.65 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.14/0.65 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.14/0.65 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.14/0.65 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.14/0.65 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.14/0.66 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.14/0.66 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.14/0.66 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.14/0.70 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.14/0.72 % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s
% 0.14/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s
% 0.14/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
% 0.14/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 30s
% 0.14/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 0.14/0.77 % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 16s
% 1.48/0.81 % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 20s
% 1.48/0.82 % /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 16s
% 1.98/0.93 % /export/starexec/sandbox2/solver/bin/lams/8_new_sh_or.sh running for 16s
% 2.17/0.99 % /export/starexec/sandbox2/solver/bin/lams/30_old_zip1.sh running for 36s
% 7.21/1.49 % Solved by lams/10_e_short2.sh.
% 7.21/1.49 % done 0 iterations in 0.638s
% 7.21/1.49 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.21/1.49 % SZS output start Refutation
% See solution above
% 7.21/1.49
% 7.21/1.49
% 7.21/1.49 % Terminating...
% 7.62/1.65 % Runner terminated.
% 7.69/1.67 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------