%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP330_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HHLrgbrFVs true
% Computer : n020.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 04:39:57 PM UTC 2025
% Result : Theorem 0.59s 1.08s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 12 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 129 ( 15 ~; 6 |; 0 &; 103 @)
% ( 2 <=>; 1 =>; 2 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 12 ( 11 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 19 ( 0 ^; 18 !; 1 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf('A_m_vec_bool_fun$_type',type,
'A_m_vec_bool_fun$': $tType ).
thf('A_m_vec$_type',type,
'A_m_vec$': $tType ).
thf('M_a_m_vec_fun$_type',type,
'M_a_m_vec_fun$': $tType ).
thf('M_a_fun$_type',type,
'M_a_fun$': $tType ).
thf('M_set$_type',type,
'M_set$': $tType ).
thf('A_n_vec_a_m_vec_fun$_type',type,
'A_n_vec_a_m_vec_fun$': $tType ).
thf('A_n_vec$_type',type,
'A_n_vec$': $tType ).
thf('N_a_n_vec_fun$_type',type,
'N_a_n_vec_fun$': $tType ).
thf('A_n_vec_n_vec$_type',type,
'A_n_vec_n_vec$': $tType ).
thf('N$_type',type,
'N$': $tType ).
thf('A_m_vec_set$_type',type,
'A_m_vec_set$': $tType ).
thf('j$_type',type,
'j$': 'N$' ).
thf('cart_basis_Rn$_type',type,
'cart_basis_Rn$': 'A_n_vec_n_vec$' ).
thf('uua$_type',type,
'uua$': 'A_m_vec_bool_fun$' ).
thf('sum$_type',type,
'sum$': 'M_a_m_vec_fun$' > 'M_set$' > 'A_m_vec$' ).
thf('fun_app$ar_type',type,
'fun_app$ar': 'A_n_vec_a_m_vec_fun$' > 'A_n_vec$' > 'A_m_vec$' ).
thf(sk__type,type,
sk_: 'A_m_vec$' > 'M_a_fun$' ).
thf('fun_app$_type',type,
'fun_app$': 'A_m_vec_bool_fun$' > 'A_m_vec$' > $o ).
thf('top$_type',type,
'top$': 'M_set$' ).
thf('uu$_type',type,
'uu$': 'M_a_fun$' > 'M_a_m_vec_fun$' ).
thf('collect$_type',type,
'collect$': 'A_m_vec_bool_fun$' > 'A_m_vec_set$' ).
thf('vec_nth$a_type',type,
'vec_nth$a': 'A_n_vec_n_vec$' > 'N_a_n_vec_fun$' ).
thf('thesis$_type',type,
'thesis$': $o ).
thf('fun_app$a_type',type,
'fun_app$a': 'N_a_n_vec_fun$' > 'N$' > 'A_n_vec$' ).
thf('member$a_type',type,
'member$a': 'A_m_vec$' > 'A_m_vec_set$' > $o ).
thf('top$b_type',type,
'top$b': 'A_m_vec_set$' ).
thf('f$_type',type,
'f$': 'A_n_vec_a_m_vec_fun$' ).
thf(axiom0,axiom,
! [A__questionmark_v0: 'A_m_vec$'] :
( ( 'fun_app$' @ 'uua$' @ A__questionmark_v0 )
<=> ? [A__questionmark_v1: 'M_a_fun$'] :
( ( 'sum$' @ ( 'uu$' @ A__questionmark_v1 ) @ 'top$' )
= A__questionmark_v0 ) ) ).
thf(zip_derived_cl0,plain,
! [X0: 'A_m_vec$'] :
( ( ( 'sum$' @ ( 'uu$' @ ( sk_ @ X0 ) ) @ 'top$' )
= X0 )
| ~ ( 'fun_app$' @ 'uua$' @ X0 ) ),
inference(cnf,[status(esa)],[axiom0]) ).
thf(hypothesis284,axiom,
! [A__questionmark_v0: 'M_a_fun$'] :
( ( ( 'sum$' @ ( 'uu$' @ A__questionmark_v0 ) @ 'top$' )
= ( 'fun_app$ar' @ 'f$' @ ( 'fun_app$a' @ ( 'vec_nth$a' @ 'cart_basis_Rn$' ) @ 'j$' ) ) )
=> 'thesis$' ) ).
thf(zip_derived_cl366,plain,
! [X0: 'M_a_fun$'] :
( 'thesis$'
| ( ( 'sum$' @ ( 'uu$' @ X0 ) @ 'top$' )
!= ( 'fun_app$ar' @ 'f$' @ ( 'fun_app$a' @ ( 'vec_nth$a' @ 'cart_basis_Rn$' ) @ 'j$' ) ) ) ),
inference(cnf,[status(esa)],[hypothesis284]) ).
thf(zip_derived_cl1393,plain,
( ! [X0: 'M_a_fun$'] :
( ( 'sum$' @ ( 'uu$' @ X0 ) @ 'top$' )
!= ( 'fun_app$ar' @ 'f$' @ ( 'fun_app$a' @ ( 'vec_nth$a' @ 'cart_basis_Rn$' ) @ 'j$' ) ) )
<= ! [X0: 'M_a_fun$'] :
( ( 'sum$' @ ( 'uu$' @ X0 ) @ 'top$' )
!= ( 'fun_app$ar' @ 'f$' @ ( 'fun_app$a' @ ( 'vec_nth$a' @ 'cart_basis_Rn$' ) @ 'j$' ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl366]) ).
thf(zip_derived_cl1394,plain,
( 'thesis$'
<= 'thesis$' ),
inference(split,[status(esa)],[zip_derived_cl366]) ).
thf(conjecture283,conjecture,
'thesis$' ).
thf(zf_stmt_0,negated_conjecture,
~ 'thesis$',
inference('cnf.neg',[status(esa)],[conjecture283]) ).
thf(zip_derived_cl365,plain,
~ 'thesis$',
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
~ 'thesis$',
inference('s_sup-',[status(thm)],[zip_derived_cl1394,zip_derived_cl365]) ).
thf('1',plain,
( ! [X0: 'M_a_fun$'] :
( ( 'sum$' @ ( 'uu$' @ X0 ) @ 'top$' )
!= ( 'fun_app$ar' @ 'f$' @ ( 'fun_app$a' @ ( 'vec_nth$a' @ 'cart_basis_Rn$' ) @ 'j$' ) ) )
| 'thesis$' ),
inference(split,[status(esa)],[zip_derived_cl366]) ).
thf('2',plain,
! [X0: 'M_a_fun$'] :
( ( 'sum$' @ ( 'uu$' @ X0 ) @ 'top$' )
!= ( 'fun_app$ar' @ 'f$' @ ( 'fun_app$a' @ ( 'vec_nth$a' @ 'cart_basis_Rn$' ) @ 'j$' ) ) ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl1427,plain,
! [X0: 'M_a_fun$'] :
( ( 'sum$' @ ( 'uu$' @ X0 ) @ 'top$' )
!= ( 'fun_app$ar' @ 'f$' @ ( 'fun_app$a' @ ( 'vec_nth$a' @ 'cart_basis_Rn$' ) @ 'j$' ) ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1393,'2']) ).
thf(zip_derived_cl1428,plain,
! [X0: 'A_m_vec$'] :
( ~ ( 'fun_app$' @ 'uua$' @ X0 )
| ( X0
!= ( 'fun_app$ar' @ 'f$' @ ( 'fun_app$a' @ ( 'vec_nth$a' @ 'cart_basis_Rn$' ) @ 'j$' ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1427]) ).
thf(zip_derived_cl1437,plain,
~ ( 'fun_app$' @ 'uua$' @ ( 'fun_app$ar' @ 'f$' @ ( 'fun_app$a' @ ( 'vec_nth$a' @ 'cart_basis_Rn$' ) @ 'j$' ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1428]) ).
thf(axiom287,axiom,
( 'top$b'
= ( 'collect$' @ 'uua$' ) ) ).
thf(zip_derived_cl369,plain,
( 'top$b'
= ( 'collect$' @ 'uua$' ) ),
inference(cnf,[status(esa)],[axiom287]) ).
thf(axiom520,axiom,
! [A__questionmark_v0: 'A_m_vec$',A__questionmark_v1: 'A_m_vec_bool_fun$'] :
( ( 'member$a' @ A__questionmark_v0 @ ( 'collect$' @ A__questionmark_v1 ) )
<=> ( 'fun_app$' @ A__questionmark_v1 @ A__questionmark_v0 ) ) ).
thf(zip_derived_cl887,plain,
! [X0: 'A_m_vec_bool_fun$',X1: 'A_m_vec$'] :
( ( 'fun_app$' @ X0 @ X1 )
| ~ ( 'member$a' @ X1 @ ( 'collect$' @ X0 ) ) ),
inference(cnf,[status(esa)],[axiom520]) ).
thf(zip_derived_cl1638,plain,
! [X0: 'A_m_vec$'] :
( ( 'fun_app$' @ 'uua$' @ X0 )
| ~ ( 'member$a' @ X0 @ 'top$b' ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl369,zip_derived_cl887]) ).
thf(axiom319,axiom,
! [A__questionmark_v0: 'A_m_vec$'] : ( 'member$a' @ A__questionmark_v0 @ 'top$b' ) ).
thf(zip_derived_cl405,plain,
! [X0: 'A_m_vec$'] : ( 'member$a' @ X0 @ 'top$b' ),
inference(cnf,[status(esa)],[axiom319]) ).
thf(zip_derived_cl1641,plain,
! [X0: 'A_m_vec$'] : ( 'fun_app$' @ 'uua$' @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl1638,zip_derived_cl405]) ).
thf(zip_derived_cl1644,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1437,zip_derived_cl1641]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : ITP330_1 : TPTP v9.2.0. Released v8.0.0.
% 0.06/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HHLrgbrFVs true
% 0.14/0.35 % Computer : n020.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 : Wed Oct 1 15:35:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.55/0.66 % Total configuration time : 435
% 0.55/0.66 % Estimated wc time : 1092
% 0.55/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.89 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.59/0.94 % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s
% 0.59/1.01 % /export/starexec/sandbox2/solver/bin/fo/fo8.sh running for 50s
% 0.59/1.08 % Solved by fo/fo1_av.sh.
% 0.59/1.08 % done 217 iterations in 0.280s
% 0.59/1.08 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/1.08 % SZS output start Refutation
% See solution above
% 0.59/1.08
% 0.59/1.08
% 0.59/1.08 % Terminating...
% 3.96/1.25 % Runner terminated.
% 3.96/1.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------