%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU642^2 : 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.3zHF7dXlJk 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 04:55:31 PM UTC 2025
% Result : Theorem 0.83s 0.76s
% Output : Refutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 78 ( 45 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 220 ( 9 ~; 10 |; 0 &; 174 @)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 55 ( 0 ^; 55 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(singletonsuniq_type,type,
singletonsuniq: $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(uniqinunit_type,type,
uniqinunit: $o ).
thf(upairset2E_type,type,
upairset2E: $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(setadjoinIL_type,type,
setadjoinIL: $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(singletonsuniq,axiom,
( singletonsuniq
= ( ! [Xx: $i,Xy: $i] :
( ( ( setadjoin @ Xx @ emptyset )
= ( setadjoin @ Xy @ emptyset ) )
=> ( Xx = Xy ) ) ) ) ).
thf('0',plain,
( singletonsuniq
= ( ! [X4: $i,X6: $i] :
( ( ( setadjoin @ X4 @ emptyset )
= ( setadjoin @ X6 @ emptyset ) )
=> ( X4 = X6 ) ) ) ),
define([status(thm)]) ).
thf(upairset2E,axiom,
( upairset2E
= ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ( Xz = Xx )
| ( Xz = Xy ) ) ) ) ) ).
thf('1',plain,
( upairset2E
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) )
=> ( ( X8 = X4 )
| ( X8 = X6 ) ) ) ) ),
define([status(thm)]) ).
thf(uniqinunit,axiom,
( uniqinunit
= ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( Xx = Xy ) ) ) ) ).
thf('2',plain,
( uniqinunit
= ( ! [X4: $i,X6: $i] :
( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
=> ( X4 = X6 ) ) ) ),
define([status(thm)]) ).
thf(setadjoinIL,axiom,
( setadjoinIL
= ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
thf('3',plain,
( setadjoinIL
= ( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(setukpairinjL1,conjecture,
( setadjoinIL
=> ( uniqinunit
=> ( upairset2E
=> ( singletonsuniq
=> ! [Xx: $i,Xy: $i,Xz: $i] :
( ( in @ ( setadjoin @ Xz @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) )
=> ( Xx = Xz ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) )
=> ( ! [X8: $i,X10: $i] :
( ( in @ X8 @ ( setadjoin @ X10 @ emptyset ) )
=> ( X8 = X10 ) )
=> ( ! [X12: $i,X14: $i,X16: $i] :
( ( in @ X16 @ ( setadjoin @ X12 @ ( setadjoin @ X14 @ emptyset ) ) )
=> ( ( X16 = X12 )
| ( X16 = X14 ) ) )
=> ( ! [X18: $i,X20: $i] :
( ( ( setadjoin @ X18 @ emptyset )
= ( setadjoin @ X20 @ emptyset ) )
=> ( X18 = X20 ) )
=> ! [X22: $i,X24: $i,X26: $i] :
( ( in @ ( setadjoin @ X26 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X22 @ ( setadjoin @ X24 @ emptyset ) ) @ emptyset ) ) )
=> ( X22 = X26 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) )
=> ( ! [X8: $i,X10: $i] :
( ( in @ X8 @ ( setadjoin @ X10 @ emptyset ) )
=> ( X8 = X10 ) )
=> ( ! [X12: $i,X14: $i,X16: $i] :
( ( in @ X16 @ ( setadjoin @ X12 @ ( setadjoin @ X14 @ emptyset ) ) )
=> ( ( X16 = X12 )
| ( X16 = X14 ) ) )
=> ( ! [X18: $i,X20: $i] :
( ( ( setadjoin @ X18 @ emptyset )
= ( setadjoin @ X20 @ emptyset ) )
=> ( X18 = X20 ) )
=> ! [X22: $i,X24: $i,X26: $i] :
( ( in @ ( setadjoin @ X26 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X22 @ ( setadjoin @ X24 @ emptyset ) ) @ emptyset ) ) )
=> ( X22 = X26 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X7: $i,X8: $i] :
( ( X8 = X7 )
| ~ ( in @ X8 @ ( setadjoin @ X7 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
in @ ( setadjoin @ sk__11 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__9 @ ( setadjoin @ sk__10 @ emptyset ) ) @ emptyset ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X2: $i,X3: $i,X4: $i] :
( ( X3 = X2 )
| ( X3 = X4 )
| ~ ( in @ X3 @ ( setadjoin @ X4 @ ( setadjoin @ X2 @ emptyset ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl66,plain,
( ( ( setadjoin @ sk__11 @ emptyset )
= ( setadjoin @ sk__9 @ emptyset ) )
| ( ( setadjoin @ sk__11 @ emptyset )
= ( setadjoin @ sk__9 @ ( setadjoin @ sk__10 @ emptyset ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
! [X5: $i,X6: $i] :
( ( X6 = X5 )
| ( ( setadjoin @ X6 @ emptyset )
!= ( setadjoin @ X5 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
sk__9 != sk__11,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( sk__9 != X0 )
| ( ( setadjoin @ sk__11 @ emptyset )
!= ( setadjoin @ X0 @ emptyset ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).
thf(zip_derived_cl49,plain,
( ( setadjoin @ sk__11 @ emptyset )
!= ( setadjoin @ sk__9 @ emptyset ) ),
inference(simplify,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl70,plain,
( ( setadjoin @ sk__11 @ emptyset )
= ( setadjoin @ sk__9 @ ( setadjoin @ sk__10 @ emptyset ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl66,zip_derived_cl49]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] : ( in @ X0 @ ( setadjoin @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl74,plain,
in @ sk__9 @ ( setadjoin @ sk__11 @ emptyset ),
inference('sup+',[status(thm)],[zip_derived_cl70,zip_derived_cl0]) ).
thf(zip_derived_cl90,plain,
sk__9 = sk__11,
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl74]) ).
thf(zip_derived_cl2_001,plain,
sk__9 != sk__11,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl93,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl90,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU642^2 : TPTP v9.2.0. Released v3.7.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3zHF7dXlJk true
% 0.09/0.32 % Computer : n007.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Wed Oct 1 16:01:38 EDT 2025
% 0.09/0.32 % CPUTime :
% 0.09/0.32 % Running portfolio for 300 s
% 0.09/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.32 % Number of cores: 8
% 0.09/0.32 % Python version: Python 3.6.8
% 0.09/0.33 % Running in HO mode
% 0.48/0.61 % Total configuration time : 828
% 0.48/0.61 % Estimated wc time : 1656
% 0.48/0.61 % Estimated cpu time (8 cpus) : 207.0
% 0.67/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.67/0.69 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.67/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.67/0.70 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.83/0.76 % Solved by lams/40_c.s.sh.
% 0.83/0.76 % done 9 iterations in 0.035s
% 0.83/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.83/0.76 % SZS output start Refutation
% See solution above
% 0.83/0.76
% 0.83/0.76
% 0.83/0.76 % Terminating...
% 1.03/0.80 % Runner terminated.
% 1.03/0.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------