TSTP Solution File: ITP104^1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP104^1 : 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.VBkJuKrlDu true
% Computer : n005.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 05:22:12 EDT 2023
% Result : Theorem 25.19s 3.88s
% Output : Refutation 25.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 37 ( 9 unt; 12 typ; 0 def)
% Number of atoms : 53 ( 21 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 263 ( 12 ~; 6 |; 0 &; 223 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 5 con; 0-2 aty)
% ( 12 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 42 ( 12 ^; 30 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(list_a_type,type,
list_a: $tType ).
thf(list_list_a_type,type,
list_list_a: $tType ).
thf(divide_divide_nat_type,type,
divide_divide_nat: nat > nat > nat ).
thf(k_type,type,
k: nat ).
thf(listSl97544552lice_a_type,type,
listSl97544552lice_a: list_a > nat > list_list_a ).
thf(xs_type,type,
xs: list_a ).
thf(listSl1174287072ice2_a_type,type,
listSl1174287072ice2_a: list_a > nat > list_list_a ).
thf(m_type,type,
m: nat ).
thf(size_size_list_a_type,type,
size_size_list_a: list_a > nat ).
thf(ord_less_nat_type,type,
ord_less_nat: nat > nat > $o ).
thf(nth_list_a_type,type,
nth_list_a: list_list_a > nat > list_a ).
thf(fact_30_list__slice__nth__length,axiom,
! [M: nat,Xs: list_a,K: nat] :
( ( ord_less_nat @ M @ ( divide_divide_nat @ ( size_size_list_a @ Xs ) @ K ) )
=> ( ( size_size_list_a @ ( nth_list_a @ ( listSl97544552lice_a @ Xs @ K ) @ M ) )
= K ) ) ).
thf(zip_derived_cl30,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: list_a] :
( !!
@ ^ [Y2: nat] :
( ( ord_less_nat @ Y0 @ ( divide_divide_nat @ ( size_size_list_a @ Y1 ) @ Y2 ) )
=> ( ( size_size_list_a @ ( nth_list_a @ ( listSl97544552lice_a @ Y1 @ Y2 ) @ Y0 ) )
= Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_30_list__slice__nth__length]) ).
thf(zip_derived_cl4237,plain,
! [X2: nat] :
( !!
@ ^ [Y0: list_a] :
( !!
@ ^ [Y1: nat] :
( ( ord_less_nat @ X2 @ ( divide_divide_nat @ ( size_size_list_a @ Y0 ) @ Y1 ) )
=> ( ( size_size_list_a @ ( nth_list_a @ ( listSl97544552lice_a @ Y0 @ Y1 ) @ X2 ) )
= Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl4238,plain,
! [X2: nat,X4: list_a] :
( !!
@ ^ [Y0: nat] :
( ( ord_less_nat @ X2 @ ( divide_divide_nat @ ( size_size_list_a @ X4 ) @ Y0 ) )
=> ( ( size_size_list_a @ ( nth_list_a @ ( listSl97544552lice_a @ X4 @ Y0 ) @ X2 ) )
= Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4237]) ).
thf(zip_derived_cl4239,plain,
! [X2: nat,X4: list_a,X6: nat] :
( ( ord_less_nat @ X2 @ ( divide_divide_nat @ ( size_size_list_a @ X4 ) @ X6 ) )
=> ( ( size_size_list_a @ ( nth_list_a @ ( listSl97544552lice_a @ X4 @ X6 ) @ X2 ) )
= X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4238]) ).
thf(zip_derived_cl4240,plain,
! [X2: nat,X4: list_a,X6: nat] :
( ~ ( ord_less_nat @ X2 @ ( divide_divide_nat @ ( size_size_list_a @ X4 ) @ X6 ) )
| ( ( size_size_list_a @ ( nth_list_a @ ( listSl97544552lice_a @ X4 @ X6 ) @ X2 ) )
= X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4239]) ).
thf(zip_derived_cl4241,plain,
! [X2: nat,X4: list_a,X6: nat] :
( ~ ( ord_less_nat @ X2 @ ( divide_divide_nat @ ( size_size_list_a @ X4 ) @ X6 ) )
| ( ( size_size_list_a @ ( nth_list_a @ ( listSl97544552lice_a @ X4 @ X6 ) @ X2 ) )
= X6 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl4240]) ).
thf(fact_19_list__slice2__list__slice__nth,axiom,
! [M: nat,Xs: list_a,K: nat] :
( ( ord_less_nat @ M @ ( divide_divide_nat @ ( size_size_list_a @ Xs ) @ K ) )
=> ( ( nth_list_a @ ( listSl1174287072ice2_a @ Xs @ K ) @ M )
= ( nth_list_a @ ( listSl97544552lice_a @ Xs @ K ) @ M ) ) ) ).
thf(zip_derived_cl19,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: list_a] :
( !!
@ ^ [Y2: nat] :
( ( ord_less_nat @ Y0 @ ( divide_divide_nat @ ( size_size_list_a @ Y1 ) @ Y2 ) )
=> ( ( nth_list_a @ ( listSl1174287072ice2_a @ Y1 @ Y2 ) @ Y0 )
= ( nth_list_a @ ( listSl97544552lice_a @ Y1 @ Y2 ) @ Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_19_list__slice2__list__slice__nth]) ).
thf(zip_derived_cl2248,plain,
! [X2: nat] :
( !!
@ ^ [Y0: list_a] :
( !!
@ ^ [Y1: nat] :
( ( ord_less_nat @ X2 @ ( divide_divide_nat @ ( size_size_list_a @ Y0 ) @ Y1 ) )
=> ( ( nth_list_a @ ( listSl1174287072ice2_a @ Y0 @ Y1 ) @ X2 )
= ( nth_list_a @ ( listSl97544552lice_a @ Y0 @ Y1 ) @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl2249,plain,
! [X2: nat,X4: list_a] :
( !!
@ ^ [Y0: nat] :
( ( ord_less_nat @ X2 @ ( divide_divide_nat @ ( size_size_list_a @ X4 ) @ Y0 ) )
=> ( ( nth_list_a @ ( listSl1174287072ice2_a @ X4 @ Y0 ) @ X2 )
= ( nth_list_a @ ( listSl97544552lice_a @ X4 @ Y0 ) @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2248]) ).
thf(zip_derived_cl2250,plain,
! [X2: nat,X4: list_a,X6: nat] :
( ( ord_less_nat @ X2 @ ( divide_divide_nat @ ( size_size_list_a @ X4 ) @ X6 ) )
=> ( ( nth_list_a @ ( listSl1174287072ice2_a @ X4 @ X6 ) @ X2 )
= ( nth_list_a @ ( listSl97544552lice_a @ X4 @ X6 ) @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2249]) ).
thf(zip_derived_cl2251,plain,
! [X2: nat,X4: list_a,X6: nat] :
( ~ ( ord_less_nat @ X2 @ ( divide_divide_nat @ ( size_size_list_a @ X4 ) @ X6 ) )
| ( ( nth_list_a @ ( listSl1174287072ice2_a @ X4 @ X6 ) @ X2 )
= ( nth_list_a @ ( listSl97544552lice_a @ X4 @ X6 ) @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2250]) ).
thf(zip_derived_cl2252,plain,
! [X2: nat,X4: list_a,X6: nat] :
( ~ ( ord_less_nat @ X2 @ ( divide_divide_nat @ ( size_size_list_a @ X4 ) @ X6 ) )
| ( ( nth_list_a @ ( listSl1174287072ice2_a @ X4 @ X6 ) @ X2 )
= ( nth_list_a @ ( listSl97544552lice_a @ X4 @ X6 ) @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2251]) ).
thf(conj_1,conjecture,
( ( size_size_list_a @ ( nth_list_a @ ( listSl1174287072ice2_a @ xs @ k ) @ m ) )
= k ) ).
thf(zf_stmt_0,negated_conjecture,
( ( size_size_list_a @ ( nth_list_a @ ( listSl1174287072ice2_a @ xs @ k ) @ m ) )
!= k ),
inference('cnf.neg',[status(esa)],[conj_1]) ).
thf(zip_derived_cl349,plain,
( ( size_size_list_a @ ( nth_list_a @ ( listSl1174287072ice2_a @ xs @ k ) @ m ) )
!= k ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2253,plain,
( ( ( size_size_list_a @ ( nth_list_a @ ( listSl97544552lice_a @ xs @ k ) @ m ) )
!= k )
| ~ ( ord_less_nat @ m @ ( divide_divide_nat @ ( size_size_list_a @ xs ) @ k ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2252,zip_derived_cl349]) ).
thf(conj_0,axiom,
ord_less_nat @ m @ ( divide_divide_nat @ ( size_size_list_a @ xs ) @ k ) ).
thf(zip_derived_cl348,plain,
ord_less_nat @ m @ ( divide_divide_nat @ ( size_size_list_a @ xs ) @ k ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(zip_derived_cl2261,plain,
( ( size_size_list_a @ ( nth_list_a @ ( listSl97544552lice_a @ xs @ k ) @ m ) )
!= k ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl348]) ).
thf(zip_derived_cl4242,plain,
( ( k != k )
| ~ ( ord_less_nat @ m @ ( divide_divide_nat @ ( size_size_list_a @ xs ) @ k ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4241,zip_derived_cl2261]) ).
thf(zip_derived_cl348_001,plain,
ord_less_nat @ m @ ( divide_divide_nat @ ( size_size_list_a @ xs ) @ k ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(zip_derived_cl4245,plain,
k != k,
inference(demod,[status(thm)],[zip_derived_cl4242,zip_derived_cl348]) ).
thf(zip_derived_cl4246,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl4245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ITP104^1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VBkJuKrlDu true
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 11:33:08 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.37 % Running in HO mode
% 0.22/0.69 % Total configuration time : 828
% 0.22/0.69 % Estimated wc time : 1656
% 0.22/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.85 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 25.19/3.88 % Solved by lams/35_full_unif4.sh.
% 25.19/3.88 % done 402 iterations in 3.078s
% 25.19/3.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 25.19/3.88 % SZS output start Refutation
% See solution above
% 25.19/3.88
% 25.19/3.88
% 25.19/3.88 % Terminating...
% 25.85/4.01 % Runner terminated.
% 25.85/4.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------