%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU709^2 : 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.ugmILJtN6H true
% Computer : n001.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 04:55:53 PM UTC 2025
% Result : Theorem 0.54s 0.75s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 31 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 114 ( 30 equ; 0 cnn)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 353 ( 20 ~; 14 |; 0 &; 262 @)
% ( 4 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 12 con; 0-4 aty)
% Number of variables : 91 ( 0 ^; 91 !; 0 ?; 91 :)
% Comments :
%------------------------------------------------------------------------------
thf(secondinupair_type,type,
secondinupair: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(iftrue_type,type,
iftrue: $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(in__Cong_type,type,
in__Cong: $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(setadjoinIL_type,type,
setadjoinIL: $o ).
thf(sk__17_type,type,
sk__17: $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(sk__19_type,type,
sk__19: $i ).
thf(iffalse_type,type,
iffalse: $o ).
thf(if_type,type,
if: $i > $o > $i > $i > $i ).
thf(iffalse,axiom,
( iffalse
= ( ! [A: $i,Xphi: $o,Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ~ Xphi
=> ( ( if @ A @ Xphi @ Xx @ Xy )
= Xy ) ) ) ) ) ) ).
thf('0',plain,
( iffalse
= ( ! [X4: $i,X6: $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ~ X6
=> ( ( if @ X4 @ X6 @ X8 @ X10 )
= X10 ) ) ) ) ) ),
define([status(thm)]) ).
thf(iftrue,axiom,
( iftrue
= ( ! [A: $i,Xphi: $o,Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( Xphi
=> ( ( if @ A @ Xphi @ Xx @ Xy )
= Xx ) ) ) ) ) ) ).
thf('1',plain,
( iftrue
= ( ! [X4: $i,X6: $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( X6
=> ( ( if @ X4 @ X6 @ X8 @ X10 )
= X8 ) ) ) ) ) ),
define([status(thm)]) ).
thf(secondinupair,axiom,
( secondinupair
= ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
thf('2',plain,
( secondinupair
= ( ! [X4: $i,X6: $i] : ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) ) ),
define([status(thm)]) ).
thf(in__Cong,axiom,
( in__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) ) ) ) ).
thf('3',plain,
( in__Cong
= ( ! [X4: $i,X6: $i] :
( ( X4 = X6 )
=> ! [X8: $i,X10: $i] :
( ( X8 = X10 )
=> ( ( in @ X8 @ X4 )
<=> ( in @ X10 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(setadjoinIL,axiom,
( setadjoinIL
= ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
thf('4',plain,
( setadjoinIL
= ( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(iftrueorfalse,conjecture,
( setadjoinIL
=> ( in__Cong
=> ( secondinupair
=> ( iftrue
=> ( iffalse
=> ! [A: $i,Xphi: $o,Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( in @ ( if @ A @ Xphi @ Xx @ Xy ) @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) )
=> ( ! [X8: $i,X10: $i] :
( ( X8 = X10 )
=> ! [X12: $i,X14: $i] :
( ( X12 = X14 )
=> ( ( in @ X12 @ X8 )
<=> ( in @ X14 @ X10 ) ) ) )
=> ( ! [X16: $i,X18: $i] : ( in @ X18 @ ( setadjoin @ X16 @ ( setadjoin @ X18 @ emptyset ) ) )
=> ( ! [X20: $i,X22: $o,X24: $i] :
( ( in @ X24 @ X20 )
=> ! [X26: $i] :
( ( in @ X26 @ X20 )
=> ( X22
=> ( ( if @ X20 @ X22 @ X24 @ X26 )
= X24 ) ) ) )
=> ( ! [X28: $i,X30: $o,X32: $i] :
( ( in @ X32 @ X28 )
=> ! [X34: $i] :
( ( in @ X34 @ X28 )
=> ( ~ X30
=> ( ( if @ X28 @ X30 @ X32 @ X34 )
= X34 ) ) ) )
=> ! [X36: $i,X38: $o,X40: $i] :
( ( in @ X40 @ X36 )
=> ! [X42: $i] :
( ( in @ X42 @ X36 )
=> ( in @ ( if @ X36 @ X38 @ X40 @ X42 ) @ ( setadjoin @ X40 @ ( setadjoin @ X42 @ emptyset ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) )
=> ( ! [X8: $i,X10: $i] :
( ( X8 = X10 )
=> ! [X12: $i,X14: $i] :
( ( X12 = X14 )
=> ( ( in @ X12 @ X8 )
<=> ( in @ X14 @ X10 ) ) ) )
=> ( ! [X16: $i,X18: $i] : ( in @ X18 @ ( setadjoin @ X16 @ ( setadjoin @ X18 @ emptyset ) ) )
=> ( ! [X20: $i,X22: $o,X24: $i] :
( ( in @ X24 @ X20 )
=> ! [X26: $i] :
( ( in @ X26 @ X20 )
=> ( X22
=> ( ( if @ X20 @ X22 @ X24 @ X26 )
= X24 ) ) ) )
=> ( ! [X28: $i,X30: $o,X32: $i] :
( ( in @ X32 @ X28 )
=> ! [X34: $i] :
( ( in @ X34 @ X28 )
=> ( ~ X30
=> ( ( if @ X28 @ X30 @ X32 @ X34 )
= X34 ) ) ) )
=> ! [X36: $i,X38: $o,X40: $i] :
( ( in @ X40 @ X36 )
=> ! [X42: $i] :
( ( in @ X42 @ X36 )
=> ( in @ ( if @ X36 @ X38 @ X40 @ X42 ) @ ( setadjoin @ X40 @ ( setadjoin @ X42 @ emptyset ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
! [X8: $i,X9: $i,X10: $i,X11: $o] :
( ~ ( in @ X8 @ X9 )
| ( ( if @ X9 @ X11 @ X10 @ X8 )
= X10 )
| ~ X11
| ~ ( in @ X10 @ X9 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
~ ( in @ ( if @ sk__16 @ sk__17 @ sk__18 @ sk__19 ) @ ( setadjoin @ sk__18 @ ( setadjoin @ sk__19 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl43,plain,
( ~ sk__17
| ~ ( in @ ( if @ sk__16 @ $true @ sk__18 @ sk__19 ) @ ( setadjoin @ sk__18 @ ( setadjoin @ sk__19 @ emptyset ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl5,plain,
in @ sk__18 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
in @ sk__19 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X4: $i,X5: $i,X6: $o,X7: $i] :
( ~ ( in @ X4 @ X5 )
| ( ( if @ X5 @ X6 @ X7 @ X4 )
= X4 )
| X6
| ~ ( in @ X7 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $o] :
( ~ ( in @ X0 @ sk__16 )
| X1
| ( ( if @ sk__16 @ X1 @ X0 @ sk__19 )
= sk__19 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).
thf(zip_derived_cl49,plain,
! [X0: $o] :
( ( ( if @ sk__16 @ X0 @ sk__18 @ sk__19 )
= sk__19 )
| X0 ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl22]) ).
thf(zip_derived_cl42,plain,
( sk__17
| ~ ( in @ ( if @ sk__16 @ $false @ sk__18 @ sk__19 ) @ ( setadjoin @ sk__18 @ ( setadjoin @ sk__19 @ emptyset ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl125,plain,
( ~ ( in @ sk__19 @ ( setadjoin @ sk__18 @ ( setadjoin @ sk__19 @ emptyset ) ) )
| sk__17 ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl42]) ).
thf(zip_derived_cl1,plain,
! [X2: $i,X3: $i] : ( in @ X2 @ ( setadjoin @ X3 @ ( setadjoin @ X2 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl129,plain,
sk__17,
inference(demod,[status(thm)],[zip_derived_cl125,zip_derived_cl1]) ).
thf(zip_derived_cl133,plain,
~ ( in @ ( if @ sk__16 @ $true @ sk__18 @ sk__19 ) @ ( setadjoin @ sk__18 @ ( setadjoin @ sk__19 @ emptyset ) ) ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl129]) ).
thf(zip_derived_cl135,plain,
( ~ ( in @ sk__18 @ ( setadjoin @ sk__18 @ ( setadjoin @ sk__19 @ emptyset ) ) )
| ~ ( in @ sk__18 @ sk__16 )
| ~ ( in @ sk__19 @ sk__16 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl133]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] : ( in @ X0 @ ( setadjoin @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5_001,plain,
in @ sk__18 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3_002,plain,
in @ sk__19 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl139,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl0,zip_derived_cl5,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.13 % Problem : SEU709^2 : TPTP v9.2.0. Released v3.7.0.
% 0.02/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ugmILJtN6H true
% 0.13/0.36 % Computer : n001.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 16:09:38 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.37 % Running in HO mode
% 0.40/0.62 % Total configuration time : 828
% 0.40/0.62 % Estimated wc time : 1656
% 0.40/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.75 % Solved by lams/40_c.s.sh.
% 0.54/0.75 % done 24 iterations in 0.032s
% 0.54/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.75 % SZS output start Refutation
% See solution above
% 0.54/0.76
% 0.54/0.76
% 0.54/0.76 % Terminating...
% 1.84/0.84 % Runner terminated.
% 1.84/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------