%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU638^2 : 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.rxY43wB7lD 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 04:55:30 PM UTC 2025
% Result : Theorem 0.59s 0.82s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 69 ( 15 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 190 ( 8 ~; 5 |; 8 &; 152 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 79 ( 28 ^; 43 !; 8 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
thf(dsetconstrEL_type,type,
dsetconstrEL: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__8_type,type,
sk__8: $i > $o ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(ex1_type,type,
ex1: $i > ( $i > $o ) > $o ).
thf(singleton_type,type,
singleton: $i > $o ).
thf(ex1,axiom,
( ex1
= ( ^ [A: $i,Xphi: $i > $o] :
( singleton
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
thf(singleton,axiom,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ) ).
thf('0',plain,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[singleton]) ).
thf('1',plain,
( singleton
= ( ^ [V_1: $i] :
? [X4: $i] :
( ( V_1
= ( setadjoin @ X4 @ emptyset ) )
& ( in @ X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf('2',plain,
( ex1
= ( ^ [A: $i,Xphi: $i > $o] :
( singleton
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ex1,'1']) ).
thf('3',plain,
( ex1
= ( ^ [V_1: $i,V_2: $i > $o] :
( singleton
@ ( dsetconstr @ V_1
@ ^ [V_3: $i] : ( V_2 @ V_3 ) ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrER,axiom,
( dsetconstrER
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) ) ) ).
thf('4',plain,
( dsetconstrER
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrEL,axiom,
( dsetconstrEL
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf('5',plain,
( dsetconstrEL
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(ex1E1,conjecture,
( dsetconstrEL
=> ( dsetconstrER
=> ! [A: $i,Xphi: $i > $o] :
( ( ex1 @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ? [Xx: $i] :
( ( Xphi @ Xx )
& ( in @ Xx @ A ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) )
=> ( ! [X10: $i,X12: $i > $o,X14: $i] :
( ( in @ X14
@ ( dsetconstr @ X10
@ ^ [V_2: $i] : ( X12 @ V_2 ) ) )
=> ( X12 @ X14 ) )
=> ! [X16: $i,X18: $i > $o] :
( ? [X20: $i] :
( ( ( dsetconstr @ X16
@ ^ [V_3: $i] : ( X18 @ V_3 ) )
= ( setadjoin @ X20 @ emptyset ) )
& ( in @ X20
@ ( dsetconstr @ X16
@ ^ [V_4: $i] : ( X18 @ V_4 ) ) ) )
=> ? [X22: $i] :
( ( X18 @ X22 )
& ( in @ X22 @ X16 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) )
=> ( ! [X10: $i,X12: $i > $o,X14: $i] :
( ( in @ X14
@ ( dsetconstr @ X10
@ ^ [V_2: $i] : ( X12 @ V_2 ) ) )
=> ( X12 @ X14 ) )
=> ! [X16: $i,X18: $i > $o] :
( ? [X20: $i] :
( ( ( dsetconstr @ X16
@ ^ [V_3: $i] : ( X18 @ V_3 ) )
= ( setadjoin @ X20 @ emptyset ) )
& ( in @ X20
@ ( dsetconstr @ X16
@ ^ [V_4: $i] : ( X18 @ V_4 ) ) ) )
=> ? [X22: $i] :
( ( X18 @ X22 )
& ( in @ X22 @ X16 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
( in @ sk__9
@ ( dsetconstr @ sk__7
@ ^ [Y0: $i] : ( sk__8 @ Y0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
in @ sk__9 @ ( dsetconstr @ sk__7 @ sk__8 ),
inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ( in @ X0 @ X1 )
| ~ ( in @ X0
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ( in @ X0 @ X1 )
| ~ ( in @ X0 @ ( dsetconstr @ X1 @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl8,plain,
in @ sk__9 @ sk__7,
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl7]) ).
thf(zip_derived_cl1,plain,
! [X3: $i] :
( ~ ( sk__8 @ X3 )
| ~ ( in @ X3 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
~ ( sk__8 @ sk__9 ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
! [X4: $i > $o,X5: $i,X6: $i] :
( ( X4 @ X5 )
| ~ ( in @ X5
@ ( dsetconstr @ X6
@ ^ [Y0: $i] : ( X4 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
! [X4: $i > $o,X5: $i,X6: $i] :
( ( X4 @ X5 )
| ~ ( in @ X5 @ ( dsetconstr @ X6 @ X4 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6_001,plain,
in @ sk__9 @ ( dsetconstr @ sk__7 @ sk__8 ),
inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl13,plain,
sk__8 @ sk__9,
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl6]) ).
thf(zip_derived_cl44,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU638^2 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rxY43wB7lD true
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 16:13:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in HO mode
% 0.55/0.66 % Total configuration time : 828
% 0.55/0.66 % Estimated wc time : 1656
% 0.55/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.82 % Solved by lams/40_c_ic.sh.
% 0.59/0.82 % done 9 iterations in 0.037s
% 0.59/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.82 % SZS output start Refutation
% See solution above
% 0.59/0.82
% 0.59/0.82
% 0.59/0.82 % Terminating...
% 0.63/0.89 % Runner terminated.
% 0.63/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------