%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP327_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.wYgYdVP0KF true
% Computer : n006.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 0.53s 0.87s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 9 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 59 ( 4 ~; 0 |; 0 &; 55 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Number of types : 7 ( 7 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
thf('A$_type',type,
'A$': $tType ).
thf('A_a_fun$_type',type,
'A_a_fun$': $tType ).
thf('A_a_a_fun_fun$_type',type,
'A_a_a_fun_fun$': $tType ).
thf('N_a_fun$_type',type,
'N_a_fun$': $tType ).
thf('A_n_vec$_type',type,
'A_n_vec$': $tType ).
thf('N$_type',type,
'N$': $tType ).
thf('N_bool_fun$_type',type,
'N_bool_fun$': $tType ).
thf('uu$_type',type,
'uu$': 'N_bool_fun$' ).
thf('i$_type',type,
'i$': 'N$' ).
thf('vec_nth$b_type',type,
'vec_nth$b': 'A_n_vec$' > 'N_a_fun$' ).
thf('x$_type',type,
'x$': 'A_n_vec$' ).
thf('times$e_type',type,
'times$e': 'A_a_a_fun_fun$' ).
thf('fun_app$d_type',type,
'fun_app$d': 'N_a_fun$' > 'N$' > 'A$' ).
thf('fun_app$m_type',type,
'fun_app$m': 'A_a_fun$' > 'A$' > 'A$' ).
thf('the$_type',type,
'the$': 'N_bool_fun$' > 'N$' ).
thf('fun_app$n_type',type,
'fun_app$n': 'A_a_a_fun_fun$' > 'A$' > 'A_a_fun$' ).
thf('zero$_type',type,
'zero$': 'A$' ).
thf('xa$_type',type,
'xa$': 'A_n_vec$' ).
thf(conjecture118,conjecture,
( ( 'fun_app$m' @ ( 'fun_app$n' @ 'times$e' @ ( 'fun_app$d' @ ( 'vec_nth$b' @ 'x$' ) @ ( 'the$' @ 'uu$' ) ) ) @ ( 'fun_app$d' @ ( 'vec_nth$b' @ 'xa$' ) @ 'i$' ) )
= 'zero$' ) ).
thf(zf_stmt_0,negated_conjecture,
( ( 'fun_app$m' @ ( 'fun_app$n' @ 'times$e' @ ( 'fun_app$d' @ ( 'vec_nth$b' @ 'x$' ) @ ( 'the$' @ 'uu$' ) ) ) @ ( 'fun_app$d' @ ( 'vec_nth$b' @ 'xa$' ) @ 'i$' ) )
!= 'zero$' ),
inference('cnf.neg',[status(esa)],[conjecture118]) ).
thf(zip_derived_cl76,plain,
( ( 'fun_app$m' @ ( 'fun_app$n' @ 'times$e' @ ( 'fun_app$d' @ ( 'vec_nth$b' @ 'x$' ) @ ( 'the$' @ 'uu$' ) ) ) @ ( 'fun_app$d' @ ( 'vec_nth$b' @ 'xa$' ) @ 'i$' ) )
!= 'zero$' ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(axiom119,axiom,
( ( 'fun_app$d' @ ( 'vec_nth$b' @ 'xa$' ) @ 'i$' )
= 'zero$' ) ).
thf(zip_derived_cl2,plain,
( ( 'fun_app$d' @ ( 'vec_nth$b' @ 'xa$' ) @ 'i$' )
= 'zero$' ),
inference(cnf,[status(esa)],[axiom119]) ).
thf(zip_derived_cl84,plain,
( ( 'fun_app$m' @ ( 'fun_app$n' @ 'times$e' @ ( 'fun_app$d' @ ( 'vec_nth$b' @ 'x$' ) @ ( 'the$' @ 'uu$' ) ) ) @ 'zero$' )
!= 'zero$' ),
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl2]) ).
thf(axiom142,axiom,
! [A__questionmark_v0: 'A$'] :
( ( 'fun_app$m' @ ( 'fun_app$n' @ 'times$e' @ A__questionmark_v0 ) @ 'zero$' )
= 'zero$' ) ).
thf(zip_derived_cl5,plain,
! [X0: 'A$'] :
( ( 'fun_app$m' @ ( 'fun_app$n' @ 'times$e' @ X0 ) @ 'zero$' )
= 'zero$' ),
inference(cnf,[status(esa)],[axiom142]) ).
thf(zip_derived_cl85,plain,
'zero$' != 'zero$',
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl5]) ).
thf(zip_derived_cl86,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP327_1 : TPTP v9.2.0. Released v8.0.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wYgYdVP0KF true
% 0.12/0.36 % Computer : n006.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Wed Oct 1 15:30:08 EDT 2025
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Running portfolio for 300 s
% 0.12/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Number of cores: 8
% 0.12/0.36 % Python version: Python 3.6.8
% 0.12/0.36 % Running in FO mode
% 0.51/0.65 % Total configuration time : 435
% 0.51/0.65 % Estimated wc time : 1092
% 0.51/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.87 % Solved by fo/fo4.sh.
% 0.53/0.87 % done 21 iterations in 0.090s
% 0.53/0.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.87 % SZS output start Refutation
% See solution above
% 0.53/0.87
% 0.53/0.87
% 0.53/0.87 % Terminating...
% 1.52/0.98 % Runner terminated.
% 1.52/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------