%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU631^2 : 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.nluaJgNaji true
% Computer : n006.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 04:55:27 PM UTC 2025
% Result : Theorem 0.49s 0.78s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 71 ( 23 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 326 ( 10 ~; 6 |; 22 &; 272 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 9 con; 0-2 aty)
% ( 0 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 75 ( 30 ^; 29 !; 16 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__5_type,type,
sk__5: $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(cartprod,axiom,
( cartprod
= ( ^ [A: $i,B: $i] :
( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) )
@ ^ [Xx: $i] :
? [Xy: $i] :
( ? [Xz: $i] :
( ( Xx
= ( kpair @ Xy @ Xz ) )
& ( in @ Xz @ B ) )
& ( in @ Xy @ A ) ) ) ) ) ).
thf(kpair,axiom,
( kpair
= ( ^ [Xx: $i,Xy: $i] : ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ).
thf('0',plain,
( kpair
= ( ^ [Xx: $i,Xy: $i] : ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[kpair]) ).
thf('1',plain,
( kpair
= ( ^ [V_1: $i,V_2: $i] : ( setadjoin @ ( setadjoin @ V_1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ V_1 @ ( setadjoin @ V_2 @ emptyset ) ) @ emptyset ) ) ) ),
define([status(thm)]) ).
thf('2',plain,
( cartprod
= ( ^ [A: $i,B: $i] :
( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) )
@ ^ [Xx: $i] :
? [Xy: $i] :
( ? [Xz: $i] :
( ( Xx
= ( kpair @ Xy @ Xz ) )
& ( in @ Xz @ B ) )
& ( in @ Xy @ A ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cartprod,'1']) ).
thf('3',plain,
( cartprod
= ( ^ [V_1: $i,V_2: $i] :
( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ V_1 @ V_2 ) ) )
@ ^ [V_3: $i] :
? [X4: $i] :
( ? [X6: $i] :
( ( V_3
= ( kpair @ X4 @ X6 ) )
& ( in @ X6 @ V_2 ) )
& ( in @ X4 @ V_1 ) ) ) ) ),
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(cartprodmempair1,conjecture,
( dsetconstrER
=> ! [A: $i,B: $i,Xu: $i] :
( ( in @ Xu @ ( cartprod @ A @ B ) )
=> ? [Xx: $i] :
( ? [Xy: $i] :
( ( Xu
= ( kpair @ Xx @ Xy ) )
& ( in @ Xy @ B ) )
& ( 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 ) ) )
=> ( X6 @ X8 ) )
=> ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14
@ ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ X10 @ X12 ) ) )
@ ^ [V_2: $i] :
? [X16: $i] :
( ( in @ X16 @ X10 )
& ? [X18: $i] :
( ( in @ X18 @ X12 )
& ( V_2
= ( setadjoin @ ( setadjoin @ X16 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X16 @ ( setadjoin @ X18 @ emptyset ) ) @ emptyset ) ) ) ) ) ) )
=> ? [X20: $i] :
( ? [X22: $i] :
( ( X14
= ( setadjoin @ ( setadjoin @ X20 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X20 @ ( setadjoin @ X22 @ emptyset ) ) @ emptyset ) ) )
& ( in @ X22 @ X12 ) )
& ( in @ X20 @ X10 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) )
=> ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14
@ ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ X10 @ X12 ) ) )
@ ^ [V_2: $i] :
? [X16: $i] :
( ( in @ X16 @ X10 )
& ? [X18: $i] :
( ( in @ X18 @ X12 )
& ( V_2
= ( setadjoin @ ( setadjoin @ X16 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X16 @ ( setadjoin @ X18 @ emptyset ) ) @ emptyset ) ) ) ) ) ) )
=> ? [X20: $i] :
( ? [X22: $i] :
( ( X14
= ( setadjoin @ ( setadjoin @ X20 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X20 @ ( setadjoin @ X22 @ emptyset ) ) @ emptyset ) ) )
& ( in @ X22 @ X12 ) )
& ( in @ X20 @ X10 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( X0 @ X1 )
| ~ ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( X0 @ X1 )
| ~ ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
( in @ sk__5
@ ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ sk__3 @ sk__4 ) ) )
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__3 )
& ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ sk__4 )
& ( Y0
= ( setadjoin @ ( setadjoin @ Y1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl28,plain,
( ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__3 )
& ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ sk__4 )
& ( Y0
= ( setadjoin @ ( setadjoin @ Y1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) ) ) ) ) ) )
@ sk__5 ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).
thf(zip_derived_cl29,plain,
( ??
@ ^ [Y0: $i] :
( ( in @ Y0 @ sk__3 )
& ( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__4 )
& ( sk__5
= ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl35,plain,
( sk__5
= ( setadjoin @ ( setadjoin @ sk__6 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__6 @ ( setadjoin @ sk__7 @ emptyset ) ) @ emptyset ) ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl1,plain,
! [X3: $i,X4: $i] :
( ~ ( in @ X3 @ sk__4 )
| ( sk__5
!= ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) )
| ~ ( in @ X4 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl59,plain,
( ( sk__5 != sk__5 )
| ~ ( in @ sk__6 @ sk__3 )
| ~ ( in @ sk__7 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl1]) ).
thf(zip_derived_cl34,plain,
in @ sk__6 @ sk__3,
inference(cnf_otf,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl36,plain,
in @ sk__7 @ sk__4,
inference(cnf_otf,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl62,plain,
sk__5 != sk__5,
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl34,zip_derived_cl36]) ).
thf(zip_derived_cl63,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU631^2 : TPTP v9.2.0. Released v3.7.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nluaJgNaji true
% 0.12/0.34 % Computer : n006.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 16:09:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in HO mode
% 0.45/0.61 % Total configuration time : 828
% 0.45/0.61 % Estimated wc time : 1656
% 0.45/0.61 % Estimated cpu time (8 cpus) : 207.0
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.47/0.70 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.47/0.70 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.47/0.70 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.47/0.70 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.47/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.49/0.78 % Solved by lams/40_c_ic.sh.
% 0.49/0.78 % done 12 iterations in 0.053s
% 0.49/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.49/0.78 % SZS output start Refutation
% See solution above
% 0.49/0.78
% 0.49/0.78
% 0.49/0.78 % Terminating...
% 1.66/0.94 % Runner terminated.
% 1.69/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------