%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU457^1 : TPTP v9.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.giAUjCBTkn true
% Computer : n004.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 04:54:43 PM UTC 2025
% Result : Theorem 0.42s 0.75s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 6 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 139 ( 8 ~; 18 |; 0 &; 98 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-3 aty)
% ( 6 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 31 ( 18 ^; 13 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(symm_type,type,
symm: ( $i > $i > $o ) > $o ).
thf(sc_type,type,
sc: ( $i > $i > $o ) > $i > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i > $i > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(symmetric_closure,axiom,
( sc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
( ( R @ Y @ X )
| ( R @ X @ Y ) ) ) ) ).
thf('0',plain,
( sc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
( ( R @ Y @ X )
| ( R @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[symmetric_closure]) ).
thf('1',plain,
( sc
= ( ^ [V_1: $i > $i > $o,V_2: $i,V_3: $i] :
( ( V_1 @ V_3 @ V_2 )
| ( V_1 @ V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(symmetric,axiom,
( symm
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ( R @ Y @ X ) ) ) ) ).
thf('2',plain,
( symm
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ( R @ Y @ X ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[symmetric]) ).
thf('3',plain,
( symm
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( V_1 @ X6 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(symmetric_closure_is_symmetric,conjecture,
! [R: $i > $i > $o] : ( symm @ ( sc @ R ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o,X6: $i,X8: $i] :
( ( ( X4 @ X6 @ X8 )
| ( X4 @ X8 @ X6 ) )
=> ( ( X4 @ X8 @ X6 )
| ( X4 @ X6 @ X8 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o,X6: $i,X8: $i] :
( ( ( X4 @ X6 @ X8 )
| ( X4 @ X8 @ X6 ) )
=> ( ( X4 @ X8 @ X6 )
| ( X4 @ X6 @ X8 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( Y0 @ Y1 @ Y2 )
| ( Y0 @ Y2 @ Y1 ) )
=> ( ( Y0 @ Y2 @ Y1 )
| ( Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y0 @ Y1 )
| ( '#sk1' @ Y1 @ Y0 ) )
=> ( ( '#sk1' @ Y1 @ Y0 )
| ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
| ( '#sk1' @ Y0 @ '#sk2' ) )
=> ( ( '#sk1' @ Y0 @ '#sk2' )
| ( '#sk1' @ '#sk2' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ( ( '#sk1' @ '#sk2' @ '#sk3' )
| ( '#sk1' @ '#sk3' @ '#sk2' ) )
=> ( ( '#sk1' @ '#sk3' @ '#sk2' )
| ( '#sk1' @ '#sk2' @ '#sk3' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
~ ( ( '#sk1' @ '#sk3' @ '#sk2' )
| ( '#sk1' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
~ ( '#sk1' @ '#sk2' @ '#sk3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl7,plain,
~ ( '#sk1' @ '#sk3' @ '#sk2' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl4,plain,
( ( '#sk1' @ '#sk2' @ '#sk3' )
| ( '#sk1' @ '#sk3' @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
( ( '#sk1' @ '#sk2' @ '#sk3' )
| ( '#sk1' @ '#sk3' @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
'#sk1' @ '#sk2' @ '#sk3',
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl6]) ).
thf(zip_derived_cl17,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : SEU457^1 : TPTP v9.2.0. Released v3.6.0.
% 0.04/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.giAUjCBTkn true
% 0.10/0.32 % Computer : n004.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 16:12:23 EDT 2025
% 0.10/0.33 % CPUTime :
% 0.10/0.33 % Running portfolio for 300 s
% 0.10/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.33 % Number of cores: 8
% 0.10/0.33 % Python version: Python 3.6.8
% 0.10/0.33 % Running in HO mode
% 0.38/0.59 % Total configuration time : 828
% 0.38/0.59 % Estimated wc time : 1656
% 0.38/0.59 % Estimated cpu time (8 cpus) : 207.0
% 0.41/0.67 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.41/0.68 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.41/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.42/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.42/0.75 % Solved by lams/35_full_unif4.sh.
% 0.42/0.75 % done 3 iterations in 0.037s
% 0.42/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.42/0.75 % SZS output start Refutation
% See solution above
% 0.42/0.75
% 0.42/0.75
% 0.42/0.75 % Terminating...
% 1.53/0.80 % Runner terminated.
% 1.53/0.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------