%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP341_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wsrso44Ncf true
% Computer : n027.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 04:39:58 PM UTC 2025
% Result : Theorem 0.33s 0.91s
% Output : Refutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 10 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 38 ( 3 ~; 0 |; 0 &; 35 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
thf('A_n_vec_n_vec$_type',type,
'A_n_vec_n_vec$': $tType ).
thf('A$_type',type,
'A$': $tType ).
thf('mat$_type',type,
'mat$': 'A$' > 'A_n_vec_n_vec$' ).
thf('matrix_matrix_mult$_type',type,
'matrix_matrix_mult$': 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$' ).
thf('a$_type',type,
'a$': 'A_n_vec_n_vec$' ).
thf('one$_type',type,
'one$': 'A$' ).
thf('p$_type',type,
'p$': 'A_n_vec_n_vec$' ).
thf('matrix_inv$_type',type,
'matrix_inv$': 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$' ).
thf(axiom9,axiom,
! [A__questionmark_v0: 'A_n_vec_n_vec$'] :
( ( 'matrix_matrix_mult$' @ A__questionmark_v0 @ ( 'mat$' @ 'one$' ) )
= A__questionmark_v0 ) ).
thf(zip_derived_cl5,plain,
! [X0: 'A_n_vec_n_vec$'] :
( ( 'matrix_matrix_mult$' @ X0 @ ( 'mat$' @ 'one$' ) )
= X0 ),
inference(cnf,[status(esa)],[axiom9]) ).
thf(axiom7,axiom,
( 'a$'
= ( 'matrix_matrix_mult$' @ ( 'matrix_inv$' @ 'p$' ) @ ( 'mat$' @ 'one$' ) ) ) ).
thf(zip_derived_cl3,plain,
( 'a$'
= ( 'matrix_matrix_mult$' @ ( 'matrix_inv$' @ 'p$' ) @ ( 'mat$' @ 'one$' ) ) ),
inference(cnf,[status(esa)],[axiom7]) ).
thf(zip_derived_cl58,plain,
( 'a$'
= ( 'matrix_inv$' @ 'p$' ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl3]) ).
thf(conjecture3,conjecture,
( ( 'matrix_matrix_mult$' @ ( 'matrix_inv$' @ 'p$' ) @ ( 'mat$' @ 'one$' ) )
= ( 'matrix_inv$' @ 'p$' ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( 'matrix_matrix_mult$' @ ( 'matrix_inv$' @ 'p$' ) @ ( 'mat$' @ 'one$' ) )
!= ( 'matrix_inv$' @ 'p$' ) ),
inference('cnf.neg',[status(esa)],[conjecture3]) ).
thf(zip_derived_cl53,plain,
( ( 'matrix_matrix_mult$' @ ( 'matrix_inv$' @ 'p$' ) @ ( 'mat$' @ 'one$' ) )
!= ( 'matrix_inv$' @ 'p$' ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_001,plain,
( 'a$'
= ( 'matrix_matrix_mult$' @ ( 'matrix_inv$' @ 'p$' ) @ ( 'mat$' @ 'one$' ) ) ),
inference(cnf,[status(esa)],[axiom7]) ).
thf(zip_derived_cl54,plain,
( 'a$'
!= ( 'matrix_inv$' @ 'p$' ) ),
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl3]) ).
thf(zip_derived_cl59,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl58,zip_derived_cl54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.20 % Problem : ITP341_1 : TPTP v9.2.0. Released v8.0.0.
% 0.12/0.21 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wsrso44Ncf true
% 0.12/0.44 % Computer : n027.cluster.edu
% 0.12/0.44 % Model : x86_64 x86_64
% 0.12/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.44 % Memory : 8042.1875MB
% 0.12/0.44 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.44 % CPULimit : 300
% 0.12/0.44 % WCLimit : 300
% 0.12/0.44 % DateTime : Wed Oct 1 15:29:08 EDT 2025
% 0.12/0.44 % CPUTime :
% 0.12/0.44 % Running portfolio for 300 s
% 0.12/0.44 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.44 % Number of cores: 8
% 0.12/0.44 % Python version: Python 3.6.8
% 0.12/0.44 % Running in FO mode
% 0.31/0.71 % Total configuration time : 435
% 0.31/0.71 % Estimated wc time : 1092
% 0.31/0.71 % Estimated cpu time (7 cpus) : 156.0
% 0.33/0.81 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.33/0.82 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.33/0.82 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.33/0.83 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.33/0.83 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.33/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.33/0.83 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.33/0.91 % Solved by fo/fo4.sh.
% 0.33/0.91 % done 18 iterations in 0.039s
% 0.33/0.91 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.33/0.91 % SZS output start Refutation
% See solution above
% 0.33/0.91
% 0.33/0.91
% 0.33/0.91 % Terminating...
% 1.21/0.94 % Runner terminated.
% 1.21/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------