%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU705^2 : 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.w3n094P5Zo true
% Computer : n028.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 04:55:52 PM UTC 2025
% Result : Theorem 0.56s 0.93s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 39 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 173 ( 49 equ; 5 cnn)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 563 ( 52 ~; 49 |; 31 &; 393 @)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 11 con; 0-4 aty)
% Number of variables : 149 ( 20 ^; 122 !; 7 ?; 149 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__12_type,type,
sk__12: $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i > $i > $o > $i > $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(subsetE_type,type,
subsetE: $o ).
thf(ifSingleton_type,type,
ifSingleton: $o ).
thf(sk__13_type,type,
sk__13: $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(setunion_type,type,
setunion: $i > $i ).
thf(sepSubset_type,type,
sepSubset: $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(if_type,type,
if: $i > $o > $i > $i > $i ).
thf(theprop_type,type,
theprop: $o ).
thf(singleton_type,type,
singleton: $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(ifSingleton,axiom,
( ifSingleton
= ( ! [A: $i,Xphi: $o,Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( singleton
@ ( dsetconstr @ A
@ ^ [Xz: $i] :
( ( Xphi
& ( Xz = Xx ) )
| ( ~ Xphi
& ( Xz = Xy ) ) ) ) ) ) ) ) ) ).
thf('0',plain,
( ifSingleton
= ( ! [X4: $i,X6: $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( singleton
@ ( dsetconstr @ X4
@ ^ [V_1: $i] :
( ( X6
& ( V_1 = X8 ) )
| ( ~ X6
& ( V_1 = X10 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(theprop,axiom,
( theprop
= ( ! [X: $i] :
( ( singleton @ X )
=> ( in @ ( setunion @ X ) @ X ) ) ) ) ).
thf('1',plain,
( theprop
= ( ! [X4: $i] :
( ( singleton @ X4 )
=> ( in @ ( setunion @ X4 ) @ X4 ) ) ) ),
define([status(thm)]) ).
thf(singleton,axiom,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ) ).
thf('2',plain,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[singleton]) ).
thf('3',plain,
( singleton
= ( ^ [V_1: $i] :
? [X4: $i] :
( ( V_1
= ( setadjoin @ X4 @ emptyset ) )
& ( in @ X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(sepSubset,axiom,
( sepSubset
= ( ! [A: $i,Xphi: $i > $o] :
( subset
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
@ A ) ) ) ).
thf('4',plain,
( sepSubset
= ( ! [X4: $i,X6: $i > $o] :
( subset
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) )
@ X4 ) ) ),
define([status(thm)]) ).
thf(subsetE,axiom,
( subsetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) ) ) ).
thf('5',plain,
( subsetE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(ifp,conjecture,
( subsetE
=> ( sepSubset
=> ( theprop
=> ( ifSingleton
=> ! [A: $i,Xphi: $o,Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( in @ ( if @ A @ Xphi @ Xx @ Xy ) @ A ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) )
=> ( ! [X10: $i,X12: $i > $o] :
( subset
@ ( dsetconstr @ X10
@ ^ [V_1: $i] : ( X12 @ V_1 ) )
@ X10 )
=> ( ! [X14: $i] :
( ? [X16: $i] :
( ( X14
= ( setadjoin @ X16 @ emptyset ) )
& ( in @ X16 @ X14 ) )
=> ( in @ ( setunion @ X14 ) @ X14 ) )
=> ( ! [X18: $i,X20: $o,X22: $i] :
( ( in @ X22 @ X18 )
=> ! [X24: $i] :
( ( in @ X24 @ X18 )
=> ? [X26: $i] :
( ( ( dsetconstr @ X18
@ ^ [V_2: $i] :
( ( ( V_2 = X24 )
& ~ X20 )
| ( ( V_2 = X22 )
& X20 ) ) )
= ( setadjoin @ X26 @ emptyset ) )
& ( in @ X26
@ ( dsetconstr @ X18
@ ^ [V_3: $i] :
( ( ( V_3 = X24 )
& ~ X20 )
| ( ( V_3 = X22 )
& X20 ) ) ) ) ) ) )
=> ! [X28: $i,X30: $o,X32: $i] :
( ( in @ X32 @ X28 )
=> ! [X34: $i] :
( ( in @ X34 @ X28 )
=> ( in @ ( if @ X28 @ X30 @ X32 @ X34 ) @ X28 ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) )
=> ( ! [X10: $i,X12: $i > $o] :
( subset
@ ( dsetconstr @ X10
@ ^ [V_1: $i] : ( X12 @ V_1 ) )
@ X10 )
=> ( ! [X14: $i] :
( ? [X16: $i] :
( ( X14
= ( setadjoin @ X16 @ emptyset ) )
& ( in @ X16 @ X14 ) )
=> ( in @ ( setunion @ X14 ) @ X14 ) )
=> ( ! [X18: $i,X20: $o,X22: $i] :
( ( in @ X22 @ X18 )
=> ! [X24: $i] :
( ( in @ X24 @ X18 )
=> ? [X26: $i] :
( ( ( dsetconstr @ X18
@ ^ [V_2: $i] :
( ( ( V_2 = X24 )
& ~ X20 )
| ( ( V_2 = X22 )
& X20 ) ) )
= ( setadjoin @ X26 @ emptyset ) )
& ( in @ X26
@ ( dsetconstr @ X18
@ ^ [V_3: $i] :
( ( ( V_3 = X24 )
& ~ X20 )
| ( ( V_3 = X22 )
& X20 ) ) ) ) ) ) )
=> ! [X28: $i,X30: $o,X32: $i] :
( ( in @ X32 @ X28 )
=> ! [X34: $i] :
( ( in @ X34 @ X28 )
=> ( in @ ( if @ X28 @ X30 @ X32 @ X34 ) @ X28 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X5: $i,X6: $i,X7: $i,X8: $o] :
( ~ ( in @ X5 @ X6 )
| ( ( dsetconstr @ X6
@ ^ [Y0: $i] :
( ( ( Y0 = X5 )
& ( (~) @ X8 ) )
| ( ( Y0 = X7 )
& X8 ) ) )
= ( setadjoin @ ( sk__11 @ X5 @ X7 @ X8 @ X6 ) @ emptyset ) )
| ~ ( in @ X7 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(if,axiom,
! [A: $i,Xphi: $o,Xx: $i,Xy: $i] :
( ( if @ A @ Xphi @ Xx @ Xy )
= ( setunion
@ ( dsetconstr @ A
@ ^ [Xz: $i] :
( ( ( Xz = Xy )
& ~ Xphi )
| ( ( Xz = Xx )
& Xphi ) ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $o,X3: $i] :
( ( if @ X0 @ X2 @ X3 @ X1 )
= ( setunion
@ ( dsetconstr @ X0
@ ^ [Y0: $i] :
( ( ( Y0 = X1 )
& ( (~) @ X2 ) )
| ( ( Y0 = X3 )
& X2 ) ) ) ) ),
inference(cnf,[status(esa)],[if]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $o,X2: $i,X3: $i] :
( ( ( if @ X0 @ X1 @ X2 @ X3 )
= ( setunion @ ( setadjoin @ ( sk__11 @ X3 @ X2 @ X1 @ X0 ) @ emptyset ) ) )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ X3 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
! [X3: $i,X4: $i] :
( ( in @ ( setunion @ X3 ) @ X3 )
| ~ ( in @ X4 @ X3 )
| ( X3
!= ( setadjoin @ X4 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
! [X4: $i] :
( ~ ( in @ X4 @ ( setadjoin @ X4 @ emptyset ) )
| ( in @ ( setunion @ ( setadjoin @ X4 @ emptyset ) ) @ ( setadjoin @ X4 @ emptyset ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7_001,plain,
! [X5: $i,X6: $i,X7: $i,X8: $o] :
( ~ ( in @ X5 @ X6 )
| ( ( dsetconstr @ X6
@ ^ [Y0: $i] :
( ( ( Y0 = X5 )
& ( (~) @ X8 ) )
| ( ( Y0 = X7 )
& X8 ) ) )
= ( setadjoin @ ( sk__11 @ X5 @ X7 @ X8 @ X6 ) @ emptyset ) )
| ~ ( in @ X7 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X9: $i,X10: $i > $o] :
( subset
@ ( dsetconstr @ X9
@ ^ [Y0: $i] : ( X10 @ Y0 ) )
@ X9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X9: $i,X10: $i > $o] : ( subset @ ( dsetconstr @ X9 @ X10 ) @ X9 ),
inference(ho_norm,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ( in @ X2 @ X1 )
| ~ ( in @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i > $o,X2: $i] :
( ~ ( in @ X2 @ ( dsetconstr @ X0 @ X1 ) )
| ( in @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl1]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $o,X2: $i,X3: $i,X4: $i] :
( ~ ( in @ X4 @ ( setadjoin @ ( sk__11 @ X3 @ X2 @ X1 @ X0 ) @ emptyset ) )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ X3 @ X0 )
| ( in @ X4 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl10]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $o,X2: $i,X3: $i] :
( ~ ( in @ ( sk__11 @ X3 @ X2 @ X1 @ X0 ) @ ( setadjoin @ ( sk__11 @ X3 @ X2 @ X1 @ X0 ) @ emptyset ) )
| ( in @ ( setunion @ ( setadjoin @ ( sk__11 @ X3 @ X2 @ X1 @ X0 ) @ emptyset ) ) @ X0 )
| ~ ( in @ X3 @ X0 )
| ~ ( in @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl30]) ).
thf(zip_derived_cl7_002,plain,
! [X5: $i,X6: $i,X7: $i,X8: $o] :
( ~ ( in @ X5 @ X6 )
| ( ( dsetconstr @ X6
@ ^ [Y0: $i] :
( ( ( Y0 = X5 )
& ( (~) @ X8 ) )
| ( ( Y0 = X7 )
& X8 ) ) )
= ( setadjoin @ ( sk__11 @ X5 @ X7 @ X8 @ X6 ) @ emptyset ) )
| ~ ( in @ X7 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X5: $i,X6: $i,X7: $i,X8: $o] :
( ~ ( in @ X5 @ X6 )
| ( in @ ( sk__11 @ X5 @ X7 @ X8 @ X6 )
@ ( dsetconstr @ X6
@ ^ [Y0: $i] :
( ( ( Y0 = X5 )
& ( (~) @ X8 ) )
| ( ( Y0 = X7 )
& X8 ) ) ) )
| ~ ( in @ X7 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $o,X2: $i,X3: $i] :
( ( in @ ( sk__11 @ X3 @ X2 @ X1 @ X0 ) @ ( setadjoin @ ( sk__11 @ X3 @ X2 @ X1 @ X0 ) @ emptyset ) )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ X3 @ X0 )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ X3 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl6]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $o,X2: $i,X3: $i] :
( ~ ( in @ X3 @ X0 )
| ~ ( in @ X2 @ X0 )
| ( in @ ( sk__11 @ X3 @ X2 @ X1 @ X0 ) @ ( setadjoin @ ( sk__11 @ X3 @ X2 @ X1 @ X0 ) @ emptyset ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $o,X2: $i,X3: $i] :
( ~ ( in @ X2 @ X0 )
| ~ ( in @ X3 @ X0 )
| ( in @ ( setunion @ ( setadjoin @ ( sk__11 @ X3 @ X2 @ X1 @ X0 ) @ emptyset ) ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl42,zip_derived_cl36]) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i,X2: $o,X3: $i] :
( ( in @ ( if @ X3 @ X2 @ X1 @ X0 ) @ X3 )
| ~ ( in @ X0 @ X3 )
| ~ ( in @ X1 @ X3 )
| ~ ( in @ X0 @ X3 )
| ~ ( in @ X1 @ X3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl81]) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i,X2: $o,X3: $i] :
( ~ ( in @ X1 @ X3 )
| ~ ( in @ X0 @ X3 )
| ( in @ ( if @ X3 @ X2 @ X1 @ X0 ) @ X3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl4,plain,
~ ( in @ ( if @ sk__12 @ sk__13 @ sk__14 @ sk__15 ) @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl95,plain,
( ~ ( in @ sk__15 @ sk__12 )
| ~ ( in @ sk__14 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl4]) ).
thf(zip_derived_cl3,plain,
in @ sk__15 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
in @ sk__14 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl104,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl3,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : SEU705^2 : TPTP v9.2.0. Released v3.7.0.
% 0.06/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.w3n094P5Zo true
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 16:15:08 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in HO mode
% 0.54/0.66 % Total configuration time : 828
% 0.54/0.66 % Estimated wc time : 1656
% 0.54/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.93 % Solved by lams/40_noforms.sh.
% 0.56/0.93 % done 31 iterations in 0.102s
% 0.56/0.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.93 % SZS output start Refutation
% See solution above
% 0.56/0.93
% 0.56/0.93
% 0.56/0.93 % Terminating...
% 0.57/1.00 % Runner terminated.
% 0.57/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------