%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV428^1 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Qq0Pl3fNSu true
% Computer : n003.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 04:57:42 PM UTC 2025
% Result : Theorem 1.35s 0.80s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 46 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 176 ( 6 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 443 ( 20 ~; 15 |; 72 &; 317 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 82 ( 82 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 8 usr; 6 con; 0-2 aty)
% ( 2 !!; 10 ??; 0 @@+; 0 @@-)
% Number of variables : 92 ( 72 ^; 11 !; 9 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_type,type,
c: ( $i > $o ) > $o ).
thf('#form28_type',type,
'#form28': $o ).
thf(eps_type,type,
eps: ( $i > $o ) > $i ).
thf(setunion_type,type,
setunion: ( ( $i > $o ) > $o ) > $i > $o ).
thf(epsio_type,type,
epsio: ( ( $i > $o ) > $o ) > $i > $o ).
thf(choosenonempty_type,type,
choosenonempty: ( ( $i > $o ) > $o ) > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i > $o ).
thf(a_type,type,
a: $i ).
thf(choiceaxio,axiom,
! [P: ( $i > $o ) > $o] :
( ? [X: $i > $o] : ( P @ X )
=> ( P @ ( epsio @ P ) ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: ( $i > $o ) > $o] :
( ( ??
@ ^ [Y1: $i > $o] : ( Y0 @ Y1 ) )
=> ( Y0 @ ( epsio @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[choiceaxio]) ).
thf(zip_derived_cl11,plain,
! [X2: ( $i > $o ) > $o] :
( ( ??
@ ^ [Y0: $i > $o] : ( X2 @ Y0 ) )
=> ( X2 @ ( epsio @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl19,plain,
( ( ??
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) )
=> ( ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) )
@ ( eps
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) )
& ( c
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl28,plain,
( ~ ( ??
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) )
| ( ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) )
@ ( eps
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) )
& ( c
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl29,plain,
! [X2: $i > $o] :
( ~ ( ( X2 @ ( eps @ X2 ) )
& ( c @ X2 ) )
| ( ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) )
@ ( eps
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) )
& ( c
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl33,plain,
( ~ '#form28'
| ( ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) )
@ ( eps
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) )
& ( c
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl34,plain,
( ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) )
@ ( eps
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) )
| ~ '#form28' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl29_001,plain,
! [X2: $i > $o] :
( ~ ( ( X2 @ ( eps @ X2 ) )
& ( c @ X2 ) )
| ( ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) )
@ ( eps
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) )
& ( c
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl32,plain,
( ~ ( ( '#sk1' @ ( eps @ '#sk1' ) )
& ( c @ '#sk1' ) )
| ( ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) )
@ ( eps
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) )
& ( c
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl29]) ).
thf(setuniond,axiom,
( setunion
= ( ^ [C: ( $i > $o ) > $o,X: $i] :
? [Y: $i > $o] :
( ( Y @ X )
& ( C @ Y ) ) ) ) ).
thf('0',plain,
( setunion
= ( ^ [C: ( $i > $o ) > $o,X: $i] :
? [Y: $i > $o] :
( ( Y @ X )
& ( C @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[setuniond]) ).
thf('1',plain,
( setunion
= ( ^ [V_1: ( $i > $o ) > $o,V_2: $i] :
? [X4: $i > $o] :
( ( X4 @ V_2 )
& ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(ca,axiom,
setunion @ c @ a ).
thf(zf_stmt_0,axiom,
? [X4: $i > $o] :
( ( c @ X4 )
& ( X4 @ a ) ) ).
thf(zip_derived_cl2,plain,
( ??
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ a ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
( ( c @ '#sk1' )
& ( '#sk1' @ a ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
c @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl38,plain,
( ~ ( ( '#sk1' @ ( eps @ '#sk1' ) )
& $true )
| ( ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) )
@ ( eps
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) )
& ( c
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl5]) ).
thf(zip_derived_cl39,plain,
( ~ ( '#sk1' @ ( eps @ '#sk1' ) )
| ( ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) )
@ ( eps
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) )
& ( c
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl33_002,plain,
( ~ '#form28'
| ( ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) )
@ ( eps
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) )
& ( c
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl40,plain,
( '#form28'
| ~ ( '#sk1' @ ( eps @ '#sk1' ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl39,zip_derived_cl33]) ).
thf(zip_derived_cl6,plain,
'#sk1' @ a,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(choiceax,axiom,
! [P: $i > $o] :
( ? [X: $i] : ( P @ X )
=> ( P @ ( eps @ P ) ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( Y0 @ ( eps @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[choiceax]) ).
thf(zip_derived_cl7,plain,
! [X2: $i > $o] :
( ( ??
@ ^ [Y0: $i] : ( X2 @ Y0 ) )
=> ( X2 @ ( eps @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl9,plain,
! [X2: $i > $o] :
( ~ ( ??
@ ^ [Y0: $i] : ( X2 @ Y0 ) )
| ( X2 @ ( eps @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl10,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( X2 @ X4 )
| ( X2 @ ( eps @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl43,plain,
( ^ [Y0: $i] :
( '#sk1'
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( eps
@ ^ [Y0: $i] :
( '#sk1'
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl10]) ).
thf(zip_derived_cl51,plain,
'#sk1' @ ( eps @ '#sk1' ),
inference(ho_norm,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl67,plain,
'#form28',
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl51]) ).
thf(zip_derived_cl75,plain,
( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) )
@ ( eps
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl67]) ).
thf(choosenonemptyd,axiom,
( choosenonempty
= ( ^ [C: ( $i > $o ) > $o] :
( epsio
@ ^ [Y: $i > $o] :
( ( C @ Y )
& ( Y @ ( eps @ Y ) ) ) ) ) ) ).
thf('2',plain,
( choosenonempty
= ( ^ [C: ( $i > $o ) > $o] :
( epsio
@ ^ [Y: $i > $o] :
( ( C @ Y )
& ( Y @ ( eps @ Y ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[choosenonemptyd]) ).
thf('3',plain,
( choosenonempty
= ( ^ [V_1: ( $i > $o ) > $o] :
( epsio
@ ^ [V_2: $i > $o] :
( ( V_1 @ V_2 )
& ( V_2 @ ( eps @ V_2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
( ? [X: $i] : ( choosenonempty @ c @ X )
& ( c @ ( choosenonempty @ c ) ) ) ).
thf(zf_stmt_1,conjecture,
( ? [X4: $i] :
( epsio
@ ^ [V_1: $i > $o] :
( ( V_1 @ ( eps @ V_1 ) )
& ( c @ V_1 ) )
@ X4 )
& ( c
@ ( epsio
@ ^ [V_2: $i > $o] :
( ( V_2 @ ( eps @ V_2 ) )
& ( c @ V_2 ) ) ) ) ) ).
thf(zf_stmt_2,negated_conjecture,
~ ( ? [X4: $i] :
( epsio
@ ^ [V_1: $i > $o] :
( ( V_1 @ ( eps @ V_1 ) )
& ( c @ V_1 ) )
@ X4 )
& ( c
@ ( epsio
@ ^ [V_2: $i > $o] :
( ( V_2 @ ( eps @ V_2 ) )
& ( c @ V_2 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
~ ( ( ??
@ ^ [Y0: $i] :
( epsio
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( eps @ Y1 ) )
& ( c @ Y1 ) )
@ Y0 ) )
& ( c
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl17,plain,
( ~ ( ??
@ ^ [Y0: $i] :
( epsio
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( eps @ Y1 ) )
& ( c @ Y1 ) )
@ Y0 ) )
| ~ ( c
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl18,plain,
! [X2: $i] :
( ~ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) )
@ X2 )
| ~ ( c
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl35,plain,
( ( c
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) )
| ~ '#form28' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl67_003,plain,
'#form28',
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl51]) ).
thf(zip_derived_cl73,plain,
( c
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl67]) ).
thf(zip_derived_cl74,plain,
! [X2: $i] :
~ ( epsio
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( eps @ Y0 ) )
& ( c @ Y0 ) )
@ X2 ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl73]) ).
thf(zip_derived_cl76,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEV428^1 : TPTP v9.2.0. Released v5.2.0.
% 0.10/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Qq0Pl3fNSu true
% 0.11/0.31 % Computer : n003.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Oct 1 15:40:23 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in HO mode
% 0.16/0.60 % Total configuration time : 828
% 0.16/0.60 % Estimated wc time : 1656
% 0.16/0.60 % Estimated cpu time (8 cpus) : 207.0
% 0.89/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.89/0.69 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.89/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.89/0.69 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.89/0.69 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.89/0.69 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.89/0.70 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.35/0.71 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.35/0.80 % Solved by lams/20_acsne_simpl.sh.
% 1.35/0.80 % done 15 iterations in 0.071s
% 1.35/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.35/0.80 % SZS output start Refutation
% See solution above
% 1.35/0.80
% 1.35/0.80
% 1.35/0.80 % Terminating...
% 1.63/0.93 % Runner terminated.
% 1.64/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------