%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU683^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.k2BgVK1NAz true
% Computer : n013.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 04:55:45 PM UTC 2025
% Result : Theorem 1.39s 0.82s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 93 ( 34 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 223 ( 14 ~; 12 |; 5 &; 159 @)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 71 ( 23 ^; 43 !; 5 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__10_type,type,
sk__10: $i ).
thf(dsetconstrI_type,type,
dsetconstrI: $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(ex1_type,type,
ex1: $i > ( $i > $o ) > $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(uniqinunit_type,type,
uniqinunit: $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(sk__7_type,type,
sk__7: $i > $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(uniqinunit,axiom,
( uniqinunit
= ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( Xx = Xy ) ) ) ) ).
thf('4',plain,
( uniqinunit
= ( ! [X4: $i,X6: $i] :
( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
=> ( X4 = X6 ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrI,axiom,
( dsetconstrI
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
thf('5',plain,
( dsetconstrI
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(ex1E2,conjecture,
( dsetconstrI
=> ( uniqinunit
=> ! [A: $i,Xphi: $i > $o] :
( ( ex1 @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( Xphi @ Xx )
=> ( ( Xphi @ Xy )
=> ( Xx = Xy ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
=> ( ! [X10: $i,X12: $i] :
( ( in @ X10 @ ( setadjoin @ X12 @ emptyset ) )
=> ( X10 = X12 ) )
=> ! [X14: $i,X16: $i > $o] :
( ? [X18: $i] :
( ( ( dsetconstr @ X14
@ ^ [V_2: $i] : ( X16 @ V_2 ) )
= ( setadjoin @ X18 @ emptyset ) )
& ( in @ X18
@ ( dsetconstr @ X14
@ ^ [V_3: $i] : ( X16 @ V_3 ) ) ) )
=> ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ! [X22: $i] :
( ( in @ X22 @ X14 )
=> ( ( X16 @ X20 )
=> ( ( X16 @ X22 )
=> ( X20 = X22 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
=> ( ! [X10: $i,X12: $i] :
( ( in @ X10 @ ( setadjoin @ X12 @ emptyset ) )
=> ( X10 = X12 ) )
=> ! [X14: $i,X16: $i > $o] :
( ? [X18: $i] :
( ( ( dsetconstr @ X14
@ ^ [V_2: $i] : ( X16 @ V_2 ) )
= ( setadjoin @ X18 @ emptyset ) )
& ( in @ X18
@ ( dsetconstr @ X14
@ ^ [V_3: $i] : ( X16 @ V_3 ) ) ) )
=> ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ! [X22: $i] :
( ( in @ X22 @ X14 )
=> ( ( X16 @ X20 )
=> ( ( X16 @ X22 )
=> ( X20 = X22 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
in @ sk__9 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
( ( dsetconstr @ sk__6
@ ^ [Y0: $i] : ( sk__7 @ Y0 ) )
= ( setadjoin @ sk__10 @ emptyset ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl36,plain,
( ( dsetconstr @ sk__6 @ sk__7 )
= ( setadjoin @ sk__10 @ emptyset ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl8,plain,
! [X3: $i,X4: $i] :
( ( X4 = X3 )
| ~ ( in @ X4 @ ( setadjoin @ X3 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( dsetconstr @ sk__6 @ sk__7 ) )
| ( X0 = sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl8]) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X1 )
| ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) )
| ~ ( in @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X1 )
| ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) )
| ~ ( in @ X1 @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl39,plain,
! [X0: $i] :
( ( X0 = sk__10 )
| ~ ( in @ X0 @ sk__6 )
| ~ ( sk__7 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl9]) ).
thf(zip_derived_cl45,plain,
( ~ ( sk__7 @ sk__9 )
| ( sk__9 = sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl39]) ).
thf(zip_derived_cl4,plain,
sk__7 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl51,plain,
sk__9 = sk__10,
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl4]) ).
thf(zip_derived_cl1,plain,
in @ sk__8 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl39_001,plain,
! [X0: $i] :
( ( X0 = sk__10 )
| ~ ( in @ X0 @ sk__6 )
| ~ ( sk__7 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl9]) ).
thf(zip_derived_cl46,plain,
( ~ ( sk__7 @ sk__8 )
| ( sk__8 = sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl39]) ).
thf(zip_derived_cl2,plain,
sk__7 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl52,plain,
sk__8 = sk__10,
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl2]) ).
thf(zip_derived_cl62,plain,
sk__9 = sk__8,
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl52]) ).
thf(zip_derived_cl3,plain,
sk__8 != sk__9,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl63,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl62,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU683^2 : TPTP v9.2.0. Released v3.7.0.
% 0.00/0.09 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.k2BgVK1NAz true
% 0.09/0.29 % Computer : n013.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 16:05:53 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % Running portfolio for 300 s
% 0.09/0.29 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % Number of cores: 8
% 0.09/0.29 % Python version: Python 3.6.8
% 0.09/0.29 % Running in HO mode
% 0.53/0.60 % Total configuration time : 828
% 0.53/0.60 % Estimated wc time : 1656
% 0.53/0.60 % Estimated cpu time (8 cpus) : 207.0
% 0.82/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.32/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.32/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.32/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.32/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.32/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.32/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.32/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.39/0.82 % Solved by lams/40_noforms.sh.
% 1.39/0.82 % done 13 iterations in 0.041s
% 1.39/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.39/0.82 % SZS output start Refutation
% See solution above
% 1.39/0.82
% 1.39/0.82
% 1.39/0.82 % Terminating...
% 1.68/0.94 % Runner terminated.
% 1.68/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------