%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU504^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.T5XX6FaNoD 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 04:54:49 PM UTC 2025
% Result : Theorem 0.47s 0.80s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 63 ( 23 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 148 ( 6 ~; 0 |; 18 &; 71 @)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 4 usr; 5 con; 0-2 aty)
% ( 10 !!; 10 ??; 0 @@+; 0 @@-)
% Number of variables : 59 ( 26 ^; 19 !; 14 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
thf(exuE1_type,type,
exuE1: $o ).
thf(exu_type,type,
exu: ( $i > $o ) > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf('#sk1_type',type,
'#sk1': $i > $o ).
thf(exuE1,axiom,
( exuE1
= ( ! [Xphi: $i > $o] :
( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ? [Xx: $i] :
( ! [Xy: $i] :
( ( Xphi @ Xy )
=> ( Xx = Xy ) )
& ( Xphi @ Xx ) ) ) ) ) ).
thf('0',plain,
( exuE1
= ( ! [X4: $i > $o] :
( ( exu
@ ^ [V_1: $i] : ( X4 @ V_1 ) )
=> ? [X6: $i] :
( ! [X8: $i] :
( ( X4 @ X8 )
=> ( X6 = X8 ) )
& ( X4 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(exu,axiom,
( exu
= ( ^ [Xphi: $i > $o] :
? [Xx: $i] :
( ! [Xy: $i] :
( ( Xphi @ Xy )
=> ( Xx = Xy ) )
& ( Xphi @ Xx ) ) ) ) ).
thf('1',plain,
( exu
= ( ^ [Xphi: $i > $o] :
? [Xx: $i] :
( ! [Xy: $i] :
( ( Xphi @ Xy )
=> ( Xx = Xy ) )
& ( Xphi @ Xx ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[exu]) ).
thf('2',plain,
( exu
= ( ^ [V_1: $i > $o] :
? [X4: $i] :
( ! [X6: $i] :
( ( V_1 @ X6 )
=> ( X4 = X6 ) )
& ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(exuE3e,conjecture,
( exuE1
=> ! [Xphi: $i > $o] :
( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ? [Xx: $i] : ( Xphi @ Xx ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i > $o] :
( ? [X6: $i] :
( ( X4 @ X6 )
& ! [X8: $i] :
( ( X4 @ X8 )
=> ( X6 = X8 ) ) )
=> ? [X10: $i] :
( ( X4 @ X10 )
& ! [X12: $i] :
( ( X4 @ X12 )
=> ( X10 = X12 ) ) ) )
=> ! [X14: $i > $o] :
( ? [X16: $i] :
( ( X14 @ X16 )
& ! [X18: $i] :
( ( X14 @ X18 )
=> ( X16 = X18 ) ) )
=> ? [X20: $i] : ( X14 @ X20 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i > $o] :
( ? [X6: $i] :
( ( X4 @ X6 )
& ! [X8: $i] :
( ( X4 @ X8 )
=> ( X6 = X8 ) ) )
=> ? [X10: $i] :
( ( X4 @ X10 )
& ! [X12: $i] :
( ( X4 @ X12 )
=> ( X10 = X12 ) ) ) )
=> ! [X14: $i > $o] :
( ? [X16: $i] :
( ( X14 @ X16 )
& ! [X18: $i] :
( ( X14 @ X18 )
=> ( X16 = X18 ) ) )
=> ? [X20: $i] : ( X14 @ X20 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) )
=> ( ??
@ ^ [Y0: $i] : ( '#sk1' @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
( ( '#sk1' @ '#sk2' )
& ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' = Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
'#sk1' @ '#sk2',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl4,plain,
~ ( ??
@ ^ [Y0: $i] : ( '#sk1' @ Y0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
! [X2: $i] :
~ ( '#sk1' @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl12,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : SEU504^2 : TPTP v9.2.0. Released v3.7.0.
% 0.05/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.T5XX6FaNoD true
% 0.10/0.33 % Computer : n006.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Wed Oct 1 16:10:38 EDT 2025
% 0.10/0.34 % CPUTime :
% 0.10/0.34 % Running portfolio for 300 s
% 0.10/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.34 % Number of cores: 8
% 0.10/0.34 % Python version: Python 3.6.8
% 0.10/0.34 % Running in HO mode
% 0.46/0.66 % Total configuration time : 828
% 0.46/0.66 % Estimated wc time : 1656
% 0.46/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.46/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.46/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.46/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.47/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.47/0.80 % Solved by lams/35_full_unif4.sh.
% 0.47/0.80 % done 1 iterations in 0.014s
% 0.47/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.47/0.80 % SZS output start Refutation
% See solution above
% 0.47/0.80
% 0.47/0.80
% 0.47/0.80 % Terminating...
% 1.26/0.92 % Runner terminated.
% 1.26/0.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------