%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU585^2 : 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.OQZdE5GNwC true
% Computer : n004.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 04:55:12 PM UTC 2025
% Result : Theorem 1.31s 0.74s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 102 ( 26 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 370 ( 18 ~; 22 |; 0 &; 266 @)
% ( 0 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 82 ( 6 ^; 76 !; 0 ?; 82 :)
% Comments :
%------------------------------------------------------------------------------
thf(setadjoinE_type,type,
setadjoinE: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(setunionE_type,type,
setunionE: $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__14_type,type,
sk__14: $o ).
thf(setunion_type,type,
setunion: $i > $i ).
thf(sk__10_type,type,
sk__10: $i > $i > $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(uniqinunit_type,type,
uniqinunit: $o ).
thf(binunion,axiom,
( binunion
= ( ^ [Xx: $i,Xy: $i] : ( setunion @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
thf('0',plain,
( binunion
= ( ^ [Xx: $i,Xy: $i] : ( setunion @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[binunion]) ).
thf('1',plain,
( binunion
= ( ^ [V_1: $i,V_2: $i] : ( setunion @ ( setadjoin @ V_1 @ ( setadjoin @ V_2 @ emptyset ) ) ) ) ),
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(setunionE,axiom,
( setunionE
= ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
=> ! [Xphi: $o] :
( ! [B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> Xphi ) )
=> Xphi ) ) ) ) ).
thf('3',plain,
( setunionE
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( setunion @ X4 ) )
=> ! [X8: $o] :
( ! [X10: $i] :
( ( in @ X6 @ X10 )
=> ( ( in @ X10 @ X4 )
=> X8 ) )
=> X8 ) ) ) ),
define([status(thm)]) ).
thf(setadjoinE,axiom,
( setadjoinE
= ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ! [Xphi: $o] :
( ( ( Xy = Xx )
=> Xphi )
=> ( ( ( in @ Xy @ A )
=> Xphi )
=> Xphi ) ) ) ) ) ).
thf('4',plain,
( setadjoinE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) )
=> ! [X10: $o] :
( ( ( X8 = X4 )
=> X10 )
=> ( ( ( in @ X8 @ X6 )
=> X10 )
=> X10 ) ) ) ) ),
define([status(thm)]) ).
thf(binunionEcases,conjecture,
( setadjoinE
=> ( setunionE
=> ( uniqinunit
=> ! [A: $i,B: $i,Xx: $i,Xphi: $o] :
( ( in @ Xx @ ( binunion @ A @ B ) )
=> ( ( ( in @ Xx @ A )
=> Xphi )
=> ( ( ( in @ Xx @ B )
=> Xphi )
=> Xphi ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) )
=> ! [X10: $o] :
( ( ( X8 = X4 )
=> X10 )
=> ( ( ( in @ X8 @ X6 )
=> X10 )
=> X10 ) ) )
=> ( ! [X12: $i,X14: $i] :
( ( in @ X14 @ ( setunion @ X12 ) )
=> ! [X16: $o] :
( ! [X18: $i] :
( ( in @ X14 @ X18 )
=> ( ( in @ X18 @ X12 )
=> X16 ) )
=> X16 ) )
=> ( ! [X20: $i,X22: $i] :
( ( in @ X20 @ ( setadjoin @ X22 @ emptyset ) )
=> ( X20 = X22 ) )
=> ! [X24: $i,X26: $i,X28: $i,X30: $o] :
( ( in @ X28 @ ( setunion @ ( setadjoin @ X24 @ ( setadjoin @ X26 @ emptyset ) ) ) )
=> ( ( ( in @ X28 @ X24 )
=> X30 )
=> ( ( ( in @ X28 @ X26 )
=> X30 )
=> X30 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) )
=> ! [X10: $o] :
( ( ( X8 = X4 )
=> X10 )
=> ( ( ( in @ X8 @ X6 )
=> X10 )
=> X10 ) ) )
=> ( ! [X12: $i,X14: $i] :
( ( in @ X14 @ ( setunion @ X12 ) )
=> ! [X16: $o] :
( ! [X18: $i] :
( ( in @ X14 @ X18 )
=> ( ( in @ X18 @ X12 )
=> X16 ) )
=> X16 ) )
=> ( ! [X20: $i,X22: $i] :
( ( in @ X20 @ ( setadjoin @ X22 @ emptyset ) )
=> ( X20 = X22 ) )
=> ! [X24: $i,X26: $i,X28: $i,X30: $o] :
( ( in @ X28 @ ( setunion @ ( setadjoin @ X24 @ ( setadjoin @ X26 @ emptyset ) ) ) )
=> ( ( ( in @ X28 @ X24 )
=> X30 )
=> ( ( ( in @ X28 @ X26 )
=> X30 )
=> X30 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
in @ sk__13 @ ( setunion @ ( setadjoin @ sk__11 @ ( setadjoin @ sk__12 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
! [X6: $o,X7: $i,X8: $i] :
( ( in @ ( sk__10 @ X7 @ X8 ) @ X8 )
| X6
| ~ ( in @ X7 @ ( setunion @ X8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__10 @ X1 @ X0 ) @ X0 )
| ~ ( in @ X1 @ ( setunion @ X0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl3,plain,
! [X0: $o,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| X0
| ( in @ X1 @ X3 )
| ~ ( in @ X1 @ ( setadjoin @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ ( in @ X0 @ ( setadjoin @ X1 @ X2 ) )
| ( in @ X0 @ X2 ) ),
inference(condensation,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ ( setunion @ ( setadjoin @ X1 @ X0 ) ) )
| ( in @ ( sk__10 @ X2 @ ( setadjoin @ X1 @ X0 ) ) @ X0 )
| ( ( sk__10 @ X2 @ ( setadjoin @ X1 @ X0 ) )
= X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl21]) ).
thf(zip_derived_cl66,plain,
( ( ( sk__10 @ sk__13 @ ( setadjoin @ sk__11 @ ( setadjoin @ sk__12 @ emptyset ) ) )
= sk__11 )
| ( in @ ( sk__10 @ sk__13 @ ( setadjoin @ sk__11 @ ( setadjoin @ sk__12 @ emptyset ) ) ) @ ( setadjoin @ sk__12 @ emptyset ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl22]) ).
thf(zip_derived_cl4,plain,
! [X4: $i,X5: $i] :
( ( X5 = X4 )
| ~ ( in @ X5 @ ( setadjoin @ X4 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl81,plain,
( ( ( sk__10 @ sk__13 @ ( setadjoin @ sk__11 @ ( setadjoin @ sk__12 @ emptyset ) ) )
= sk__11 )
| ( ( sk__10 @ sk__13 @ ( setadjoin @ sk__11 @ ( setadjoin @ sk__12 @ emptyset ) ) )
= sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X6: $o,X7: $i,X8: $i] :
( ( in @ X7 @ ( sk__10 @ X7 @ X8 ) )
| X6
| ~ ( in @ X7 @ ( setunion @ X8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( in @ X1 @ ( sk__10 @ X1 @ X0 ) )
| ~ ( in @ X1 @ ( setunion @ X0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl88,plain,
( ( in @ sk__13 @ sk__12 )
| ( ( sk__10 @ sk__13 @ ( setadjoin @ sk__11 @ ( setadjoin @ sk__12 @ emptyset ) ) )
= sk__11 )
| ~ ( in @ sk__13 @ ( setunion @ ( setadjoin @ sk__11 @ ( setadjoin @ sk__12 @ emptyset ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl14]) ).
thf(zip_derived_cl6,plain,
( sk__14
| ~ ( in @ sk__13 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
~ sk__14,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
~ ( in @ sk__13 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl7]) ).
thf(zip_derived_cl5_001,plain,
in @ sk__13 @ ( setunion @ ( setadjoin @ sk__11 @ ( setadjoin @ sk__12 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl97,plain,
( ( sk__10 @ sk__13 @ ( setadjoin @ sk__11 @ ( setadjoin @ sk__12 @ emptyset ) ) )
= sk__11 ),
inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl12,zip_derived_cl5]) ).
thf(zip_derived_cl14_002,plain,
! [X0: $i,X1: $i] :
( ( in @ X1 @ ( sk__10 @ X1 @ X0 ) )
| ~ ( in @ X1 @ ( setunion @ X0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl103,plain,
( ( in @ sk__13 @ sk__11 )
| ~ ( in @ sk__13 @ ( setunion @ ( setadjoin @ sk__11 @ ( setadjoin @ sk__12 @ emptyset ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl97,zip_derived_cl14]) ).
thf(zip_derived_cl8,plain,
( sk__14
| ~ ( in @ sk__13 @ sk__11 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7_003,plain,
~ sk__14,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13,plain,
~ ( in @ sk__13 @ sk__11 ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl7]) ).
thf(zip_derived_cl5_004,plain,
in @ sk__13 @ ( setunion @ ( setadjoin @ sk__11 @ ( setadjoin @ sk__12 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl107,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl13,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU585^2 : TPTP v9.2.0. Released v3.7.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OQZdE5GNwC true
% 0.09/0.29 % Computer : n004.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Wed Oct 1 16:05:08 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.30 % Python version: Python 3.6.8
% 0.09/0.30 % Running in HO mode
% 0.54/0.58 % Total configuration time : 828
% 0.54/0.58 % Estimated wc time : 1656
% 0.54/0.58 % Estimated cpu time (8 cpus) : 207.0
% 1.01/0.66 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.01/0.68 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.01/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.01/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.01/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.01/0.69 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.31/0.72 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.31/0.74 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.31/0.74 % Solved by lams/40_c.s.sh.
% 1.31/0.74 % done 38 iterations in 0.053s
% 1.31/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.31/0.74 % SZS output start Refutation
% See solution above
% 1.31/0.74
% 1.31/0.74
% 1.31/0.74 % Terminating...
% 1.53/0.80 % Runner terminated.
% 1.53/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------