%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU787^2 : 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.9l53tjFOf0 true
% Computer : n009.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 04:56:23 PM UTC 2025
% Result : Theorem 1.37s 2.74s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 49 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 316 ( 2 equ; 0 cnn)
% Maximal formula atoms : 25 ( 6 avg)
% Number of connectives : 1184 ( 62 ~; 59 |; 0 &; 814 @)
% ( 0 <=>; 185 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 9 con; 0-2 aty)
% ( 64 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 144 ( 64 ^; 80 !; 0 ?; 144 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk2_type',type,
'#sk2': $i ).
thf(breln1unionE_type,type,
breln1unionE: $o ).
thf('#sk5_type',type,
'#sk5': $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf('#sk6_type',type,
'#sk6': $o ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf('#sk3_type',type,
'#sk3': $i ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(breln1_type,type,
breln1: $i > $i > $o ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf('#sk4_type',type,
'#sk4': $i ).
thf(breln1unionE,axiom,
( breln1unionE
= ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ ( binunion @ R @ S ) )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ R )
| ( in @ ( kpair @ Xx @ Xy ) @ S ) ) ) ) ) ) ) ) ) ).
thf('0',plain,
( breln1unionE
= ( ! [X4: $i,X6: $i] :
( ( breln1 @ X4 @ X6 )
=> ! [X8: $i] :
( ( breln1 @ X4 @ X8 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ ( binunion @ X6 @ X8 ) )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ X6 )
| ( in @ ( kpair @ X10 @ X12 ) @ X8 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(breln1unionEcases,conjecture,
( breln1unionE
=> ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ ( binunion @ R @ S ) )
=> ! [Xphi: $o] :
( ( ( in @ ( kpair @ Xx @ Xy ) @ R )
=> Xphi )
=> ( ( ( in @ ( kpair @ Xx @ Xy ) @ S )
=> Xphi )
=> Xphi ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( breln1 @ X4 @ X6 )
=> ! [X8: $i] :
( ( breln1 @ X4 @ X8 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ ( binunion @ X6 @ X8 ) )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ X8 )
| ( in @ ( kpair @ X10 @ X12 ) @ X6 ) ) ) ) ) ) )
=> ! [X14: $i,X16: $i] :
( ( breln1 @ X14 @ X16 )
=> ! [X18: $i] :
( ( breln1 @ X14 @ X18 )
=> ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ! [X22: $i] :
( ( in @ X22 @ X14 )
=> ( ( in @ ( kpair @ X20 @ X22 ) @ ( binunion @ X16 @ X18 ) )
=> ! [X24: $o] :
( ( ( in @ ( kpair @ X20 @ X22 ) @ X16 )
=> X24 )
=> ( ( ( in @ ( kpair @ X20 @ X22 ) @ X18 )
=> X24 )
=> X24 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( breln1 @ X4 @ X6 )
=> ! [X8: $i] :
( ( breln1 @ X4 @ X8 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ ( binunion @ X6 @ X8 ) )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ X8 )
| ( in @ ( kpair @ X10 @ X12 ) @ X6 ) ) ) ) ) ) )
=> ! [X14: $i,X16: $i] :
( ( breln1 @ X14 @ X16 )
=> ! [X18: $i] :
( ( breln1 @ X14 @ X18 )
=> ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ! [X22: $i] :
( ( in @ X22 @ X14 )
=> ( ( in @ ( kpair @ X20 @ X22 ) @ ( binunion @ X16 @ X18 ) )
=> ! [X24: $o] :
( ( ( in @ ( kpair @ X20 @ X22 ) @ X16 )
=> X24 )
=> ( ( ( in @ ( kpair @ X20 @ X22 ) @ X18 )
=> X24 )
=> X24 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( breln1 @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( breln1 @ Y0 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
=> ( ( in @ ( kpair @ Y3 @ Y4 ) @ ( binunion @ Y1 @ Y2 ) )
=> ( ( in @ ( kpair @ Y3 @ Y4 ) @ Y2 )
| ( in @ ( kpair @ Y3 @ Y4 ) @ Y1 ) ) ) ) ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( breln1 @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( breln1 @ Y0 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
=> ( ( in @ ( kpair @ Y3 @ Y4 ) @ ( binunion @ Y1 @ Y2 ) )
=> ( !!
@ ^ [Y5: $o] :
( ( ( in @ ( kpair @ Y3 @ Y4 ) @ Y1 )
=> Y5 )
=> ( ( ( in @ ( kpair @ Y3 @ Y4 ) @ Y2 )
=> Y5 )
=> Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( breln1 @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( breln1 @ Y0 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
=> ( ( in @ ( kpair @ Y3 @ Y4 ) @ ( binunion @ Y1 @ Y2 ) )
=> ( !!
@ ^ [Y5: $o] :
( ( ( in @ ( kpair @ Y3 @ Y4 ) @ Y1 )
=> Y5 )
=> ( ( ( in @ ( kpair @ Y3 @ Y4 ) @ Y2 )
=> Y5 )
=> Y5 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( breln1 @ '#sk1' @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( breln1 @ '#sk1' @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ '#sk1' )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ '#sk1' )
=> ( ( in @ ( kpair @ Y2 @ Y3 ) @ ( binunion @ Y0 @ Y1 ) )
=> ( !!
@ ^ [Y4: $o] :
( ( ( in @ ( kpair @ Y2 @ Y3 ) @ Y0 )
=> Y4 )
=> ( ( ( in @ ( kpair @ Y2 @ Y3 ) @ Y1 )
=> Y4 )
=> Y4 ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
~ ( ( breln1 @ '#sk1' @ '#sk2' )
=> ( !!
@ ^ [Y0: $i] :
( ( breln1 @ '#sk1' @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ '#sk1' )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ '#sk1' )
=> ( ( in @ ( kpair @ Y1 @ Y2 ) @ ( binunion @ '#sk2' @ Y0 ) )
=> ( !!
@ ^ [Y3: $o] :
( ( ( in @ ( kpair @ Y1 @ Y2 ) @ '#sk2' )
=> Y3 )
=> ( ( ( in @ ( kpair @ Y1 @ Y2 ) @ Y0 )
=> Y3 )
=> Y3 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
breln1 @ '#sk1' @ '#sk2',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl9,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( breln1 @ '#sk1' @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ '#sk1' )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ '#sk1' )
=> ( ( in @ ( kpair @ Y1 @ Y2 ) @ ( binunion @ '#sk2' @ Y0 ) )
=> ( !!
@ ^ [Y3: $o] :
( ( ( in @ ( kpair @ Y1 @ Y2 ) @ '#sk2' )
=> Y3 )
=> ( ( ( in @ ( kpair @ Y1 @ Y2 ) @ Y0 )
=> Y3 )
=> Y3 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
~ ( ( breln1 @ '#sk1' @ '#sk3' )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk1' )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ '#sk1' )
=> ( ( in @ ( kpair @ Y0 @ Y1 ) @ ( binunion @ '#sk2' @ '#sk3' ) )
=> ( !!
@ ^ [Y2: $o] :
( ( ( in @ ( kpair @ Y0 @ Y1 ) @ '#sk2' )
=> Y2 )
=> ( ( ( in @ ( kpair @ Y0 @ Y1 ) @ '#sk3' )
=> Y2 )
=> Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl14,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk1' )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ '#sk1' )
=> ( ( in @ ( kpair @ Y0 @ Y1 ) @ ( binunion @ '#sk2' @ '#sk3' ) )
=> ( !!
@ ^ [Y2: $o] :
( ( ( in @ ( kpair @ Y0 @ Y1 ) @ '#sk2' )
=> Y2 )
=> ( ( ( in @ ( kpair @ Y0 @ Y1 ) @ '#sk3' )
=> Y2 )
=> Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl16,plain,
~ ( ( in @ '#sk4' @ '#sk1' )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk1' )
=> ( ( in @ ( kpair @ '#sk4' @ Y0 ) @ ( binunion @ '#sk2' @ '#sk3' ) )
=> ( !!
@ ^ [Y1: $o] :
( ( ( in @ ( kpair @ '#sk4' @ Y0 ) @ '#sk2' )
=> Y1 )
=> ( ( ( in @ ( kpair @ '#sk4' @ Y0 ) @ '#sk3' )
=> Y1 )
=> Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl19,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk1' )
=> ( ( in @ ( kpair @ '#sk4' @ Y0 ) @ ( binunion @ '#sk2' @ '#sk3' ) )
=> ( !!
@ ^ [Y1: $o] :
( ( ( in @ ( kpair @ '#sk4' @ Y0 ) @ '#sk2' )
=> Y1 )
=> ( ( ( in @ ( kpair @ '#sk4' @ Y0 ) @ '#sk3' )
=> Y1 )
=> Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl21,plain,
~ ( ( in @ '#sk5' @ '#sk1' )
=> ( ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ ( binunion @ '#sk2' @ '#sk3' ) )
=> ( !!
@ ^ [Y0: $o] :
( ( ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ '#sk2' )
=> Y0 )
=> ( ( ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ '#sk3' )
=> Y0 )
=> Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl24,plain,
~ ( ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ ( binunion @ '#sk2' @ '#sk3' ) )
=> ( !!
@ ^ [Y0: $o] :
( ( ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ '#sk2' )
=> Y0 )
=> ( ( ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ '#sk3' )
=> Y0 )
=> Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl26,plain,
in @ ( kpair @ '#sk4' @ '#sk5' ) @ ( binunion @ '#sk2' @ '#sk3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( breln1 @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( breln1 @ Y0 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
=> ( ( in @ ( kpair @ Y3 @ Y4 ) @ ( binunion @ Y1 @ Y2 ) )
=> ( ( in @ ( kpair @ Y3 @ Y4 ) @ Y2 )
| ( in @ ( kpair @ Y3 @ Y4 ) @ Y1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( breln1 @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( breln1 @ X2 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ X2 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ X2 )
=> ( ( in @ ( kpair @ Y2 @ Y3 ) @ ( binunion @ Y0 @ Y1 ) )
=> ( ( in @ ( kpair @ Y2 @ Y3 ) @ Y1 )
| ( in @ ( kpair @ Y2 @ Y3 ) @ Y0 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
! [X2: $i,X4: $i] :
( ( breln1 @ X2 @ X4 )
=> ( !!
@ ^ [Y0: $i] :
( ( breln1 @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ X2 )
=> ( ( in @ ( kpair @ Y1 @ Y2 ) @ ( binunion @ X4 @ Y0 ) )
=> ( ( in @ ( kpair @ Y1 @ Y2 ) @ Y0 )
| ( in @ ( kpair @ Y1 @ Y2 ) @ X4 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: $i,X4: $i] :
( ~ ( breln1 @ X2 @ X4 )
| ( !!
@ ^ [Y0: $i] :
( ( breln1 @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ X2 )
=> ( ( in @ ( kpair @ Y1 @ Y2 ) @ ( binunion @ X4 @ Y0 ) )
=> ( ( in @ ( kpair @ Y1 @ Y2 ) @ Y0 )
| ( in @ ( kpair @ Y1 @ Y2 ) @ X4 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( breln1 @ X2 @ X6 )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( ( in @ ( kpair @ Y0 @ Y1 ) @ ( binunion @ X4 @ X6 ) )
=> ( ( in @ ( kpair @ Y0 @ Y1 ) @ X6 )
| ( in @ ( kpair @ Y0 @ Y1 ) @ X4 ) ) ) ) ) ) ) )
| ~ ( breln1 @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( breln1 @ X2 @ X6 )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( ( in @ ( kpair @ Y0 @ Y1 ) @ ( binunion @ X4 @ X6 ) )
=> ( ( in @ ( kpair @ Y0 @ Y1 ) @ X6 )
| ( in @ ( kpair @ Y0 @ Y1 ) @ X4 ) ) ) ) ) ) )
| ~ ( breln1 @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( in @ X8 @ X2 )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( in @ ( kpair @ X8 @ Y0 ) @ ( binunion @ X4 @ X6 ) )
=> ( ( in @ ( kpair @ X8 @ Y0 ) @ X6 )
| ( in @ ( kpair @ X8 @ Y0 ) @ X4 ) ) ) ) ) )
| ~ ( breln1 @ X2 @ X4 )
| ~ ( breln1 @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl17,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( in @ X8 @ X2 )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( in @ ( kpair @ X8 @ Y0 ) @ ( binunion @ X4 @ X6 ) )
=> ( ( in @ ( kpair @ X8 @ Y0 ) @ X6 )
| ( in @ ( kpair @ X8 @ Y0 ) @ X4 ) ) ) ) )
| ~ ( breln1 @ X2 @ X6 )
| ~ ( breln1 @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
( ( ( in @ X10 @ X2 )
=> ( ( in @ ( kpair @ X8 @ X10 ) @ ( binunion @ X4 @ X6 ) )
=> ( ( in @ ( kpair @ X8 @ X10 ) @ X6 )
| ( in @ ( kpair @ X8 @ X10 ) @ X4 ) ) ) )
| ~ ( breln1 @ X2 @ X4 )
| ~ ( breln1 @ X2 @ X6 )
| ~ ( in @ X8 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl22,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
( ~ ( in @ X10 @ X2 )
| ( ( in @ ( kpair @ X8 @ X10 ) @ ( binunion @ X4 @ X6 ) )
=> ( ( in @ ( kpair @ X8 @ X10 ) @ X6 )
| ( in @ ( kpair @ X8 @ X10 ) @ X4 ) ) )
| ~ ( in @ X8 @ X2 )
| ~ ( breln1 @ X2 @ X6 )
| ~ ( breln1 @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl25,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
( ~ ( in @ ( kpair @ X8 @ X10 ) @ ( binunion @ X4 @ X6 ) )
| ( in @ ( kpair @ X8 @ X10 ) @ X6 )
| ( in @ ( kpair @ X8 @ X10 ) @ X4 )
| ~ ( breln1 @ X2 @ X4 )
| ~ ( breln1 @ X2 @ X6 )
| ~ ( in @ X8 @ X2 )
| ~ ( in @ X10 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl28,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
( ( in @ ( kpair @ X8 @ X10 ) @ X6 )
| ( in @ ( kpair @ X8 @ X10 ) @ X4 )
| ~ ( in @ X10 @ X2 )
| ~ ( in @ X8 @ X2 )
| ~ ( breln1 @ X2 @ X6 )
| ~ ( breln1 @ X2 @ X4 )
| ~ ( in @ ( kpair @ X8 @ X10 ) @ ( binunion @ X4 @ X6 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl38,plain,
! [X0: $i] :
( ~ ( breln1 @ X0 @ '#sk2' )
| ~ ( breln1 @ X0 @ '#sk3' )
| ~ ( in @ '#sk4' @ X0 )
| ~ ( in @ '#sk5' @ X0 )
| ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ '#sk2' )
| ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl28]) ).
thf(zip_derived_cl27,plain,
~ ( !!
@ ^ [Y0: $o] :
( ( ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ '#sk2' )
=> Y0 )
=> ( ( ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ '#sk3' )
=> Y0 )
=> Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl29,plain,
~ ( ( ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ '#sk2' )
=> '#sk6' )
=> ( ( ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ '#sk3' )
=> '#sk6' )
=> '#sk6' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl30,plain,
( ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ '#sk2' )
=> '#sk6' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl32,plain,
( ~ ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ '#sk2' )
| '#sk6' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl31,plain,
~ ( ( ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ '#sk3' )
=> '#sk6' )
=> '#sk6' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl34,plain,
~ '#sk6',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl36,plain,
~ ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ '#sk2' ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl34]) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ '#sk3' )
| ~ ( in @ '#sk5' @ X0 )
| ~ ( in @ '#sk4' @ X0 )
| ~ ( breln1 @ X0 @ '#sk3' )
| ~ ( breln1 @ X0 @ '#sk2' ) ),
inference(clc,[status(thm)],[zip_derived_cl38,zip_derived_cl36]) ).
thf(zip_derived_cl33,plain,
( ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ '#sk3' )
=> '#sk6' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl35,plain,
( ~ ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ '#sk3' )
| '#sk6' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl34_001,plain,
~ '#sk6',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl37,plain,
~ ( in @ ( kpair @ '#sk4' @ '#sk5' ) @ '#sk3' ),
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl34]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ~ ( breln1 @ X0 @ '#sk2' )
| ~ ( breln1 @ X0 @ '#sk3' )
| ~ ( in @ '#sk4' @ X0 )
| ~ ( in @ '#sk5' @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl40,zip_derived_cl37]) ).
thf(zip_derived_cl42,plain,
( ~ ( in @ '#sk5' @ '#sk1' )
| ~ ( in @ '#sk4' @ '#sk1' )
| ~ ( breln1 @ '#sk1' @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl41]) ).
thf(zip_derived_cl23,plain,
in @ '#sk5' @ '#sk1',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl18,plain,
in @ '#sk4' @ '#sk1',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl13,plain,
breln1 @ '#sk1' @ '#sk3',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl44,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl23,zip_derived_cl18,zip_derived_cl13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/1.05 % Problem : SEU787^2 : TPTP v9.2.0. Released v3.7.0.
% 0.12/1.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9l53tjFOf0 true
% 0.13/1.53 % Computer : n009.cluster.edu
% 0.13/1.53 % Model : x86_64 x86_64
% 0.13/1.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/1.53 % Memory : 8042.1875MB
% 0.13/1.53 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/1.53 % CPULimit : 300
% 0.13/1.53 % WCLimit : 300
% 0.13/1.53 % DateTime : Wed Oct 1 16:06:54 EDT 2025
% 0.13/1.54 % CPUTime :
% 0.13/1.54 % Running portfolio for 300 s
% 0.13/1.54 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/1.56 % Number of cores: 8
% 0.19/1.57 % Python version: Python 3.6.8
% 0.19/1.58 % Running in HO mode
% 0.28/2.16 % Total configuration time : 828
% 0.28/2.16 % Estimated wc time : 1656
% 0.28/2.16 % Estimated cpu time (8 cpus) : 207.0
% 1.28/2.56 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.28/2.58 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.29/2.59 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.29/2.60 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.29/2.61 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.29/2.63 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.30/2.65 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.30/2.66 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.37/2.74 % Solved by lams/35_full_unif4.sh.
% 1.37/2.74 % done 9 iterations in 0.055s
% 1.37/2.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.37/2.74 % SZS output start Refutation
% See solution above
% 1.37/2.74
% 1.37/2.74
% 1.37/2.74 % Terminating...
% 2.02/3.03 % Runner terminated.
% 2.02/3.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------