%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU545^2 : 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.sQNiUtPEDe true
% Computer : n007.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 04:55:00 PM UTC 2025
% Result : Theorem 0.63s 0.85s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 128 ( 45 equ; 0 cnn)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 285 ( 24 ~; 12 |; 19 &; 132 @)
% ( 0 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 5 usr; 5 con; 0-2 aty)
% ( 23 !!; 11 ??; 0 @@+; 0 @@-)
% Number of variables : 95 ( 40 ^; 41 !; 14 ?; 95 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk1_type',type,
'#sk1': $i > $o ).
thf(exuI1_type,type,
exuI1: $o ).
thf(exu_type,type,
exu: ( $i > $o ) > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf('#sk3_type',type,
'#sk3': $i > $i ).
thf(exuI1,axiom,
( exuI1
= ( ! [Xphi: $i > $o] :
( ? [Xx: $i] :
( ! [Xy: $i] :
( ( Xphi @ Xy )
=> ( Xx = Xy ) )
& ( Xphi @ Xx ) )
=> ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
thf('0',plain,
( exuI1
= ( ! [X4: $i > $o] :
( ? [X6: $i] :
( ! [X8: $i] :
( ( X4 @ X8 )
=> ( X6 = X8 ) )
& ( X4 @ X6 ) )
=> ( exu
@ ^ [V_1: $i] : ( X4 @ V_1 ) ) ) ) ),
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(exuI3,conjecture,
( exuI1
=> ! [Xphi: $i > $o] :
( ? [Xx: $i] : ( Xphi @ Xx )
=> ( ! [Xx: $i,Xy: $i] :
( ( Xphi @ Xx )
=> ( ( Xphi @ Xy )
=> ( Xx = Xy ) ) )
=> ( exu
@ ^ [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,X20: $i] :
( ( X14 @ X18 )
=> ( ( X14 @ X20 )
=> ( X18 = X20 ) ) )
=> ? [X22: $i] :
( ( X14 @ X22 )
& ! [X24: $i] :
( ( X14 @ X24 )
=> ( X22 = X24 ) ) ) ) ) ) ).
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,X20: $i] :
( ( X14 @ X18 )
=> ( ( X14 @ X20 )
=> ( X18 = X20 ) ) )
=> ? [X22: $i] :
( ( X14 @ X22 )
& ! [X24: $i] :
( ( X14 @ X24 )
=> ( X22 = X24 ) ) ) ) ) ),
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 ) )
=> ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y1 )
=> ( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y1 )
=> ( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ( ??
@ ^ [Y0: $i] : ( '#sk1' @ Y0 ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 )
=> ( ( '#sk1' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) )
=> ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ??
@ ^ [Y0: $i] : ( '#sk1' @ Y0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
'#sk1' @ '#sk2',
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5_001,plain,
'#sk1' @ '#sk2',
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl4,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 )
=> ( ( '#sk1' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) )
=> ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 )
=> ( ( '#sk1' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X2 )
=> ( ( '#sk1' @ Y0 )
=> ( X2 = Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i] :
( ( '#sk1' @ X2 )
=> ( ( '#sk1' @ X4 )
=> ( X2 = X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 )
| ( ( '#sk1' @ X4 )
=> ( X2 = X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl14,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X4 )
| ( X2 = X4 )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl17,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X4 )
| ( X2 = X4 )
| ~ ( '#sk1' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl24,plain,
! [X0: $i] :
( ~ ( '#sk1' @ X0 )
| ( X0 = '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl17]) ).
thf(zip_derived_cl7,plain,
~ ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: $i] :
~ ( ( '#sk1' @ X2 )
& ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
=> ( X2 = Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] :
( ~ ( '#sk1' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
=> ( X2 = Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl13,plain,
! [X2: $i] :
( ~ ( ( '#sk1' @ ( '#sk3' @ X2 ) )
=> ( X2
= ( '#sk3' @ X2 ) ) )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl15,plain,
! [X2: $i] :
( ( '#sk1' @ ( '#sk3' @ X2 ) )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ( ( '#sk3' @ X0 )
= '#sk2' )
| ~ ( '#sk1' @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl15]) ).
thf(zip_derived_cl38,plain,
( ( '#sk3' @ '#sk2' )
= '#sk2' ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl29]) ).
thf(zip_derived_cl5_002,plain,
'#sk1' @ '#sk2',
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl16,plain,
! [X2: $i] :
( ( X2
!= ( '#sk3' @ X2 ) )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl18,plain,
! [X2: $i] :
( ( X2
!= ( '#sk3' @ X2 ) )
| ~ ( '#sk1' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl19,plain,
( '#sk2'
!= ( '#sk3' @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl18]) ).
thf(zip_derived_cl41,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl38,zip_derived_cl19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU545^2 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sQNiUtPEDe true
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 16:01:53 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.58/0.69 % Total configuration time : 828
% 0.58/0.69 % Estimated wc time : 1656
% 0.58/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.63/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.63/0.81 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.63/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.63/0.83 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.63/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.63/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.63/0.85 % Solved by lams/35_full_unif4.sh.
% 0.63/0.85 % done 8 iterations in 0.022s
% 0.63/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.63/0.85 % SZS output start Refutation
% See solution above
% 0.63/0.85
% 0.63/0.85
% 0.63/0.85 % Terminating...
% 1.91/0.94 % Runner terminated.
% 1.91/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------