%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU782^2 : 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.ILLAvQCN5T 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 04:56:21 PM UTC 2025
% Result : Theorem 0.53s 1.01s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 12
% Syntax : Number of formulae : 62 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 270 ( 12 equ; 0 cnn)
% Maximal formula atoms : 25 ( 4 avg)
% Number of connectives : 911 ( 31 ~; 27 |; 0 &; 649 @)
% ( 0 <=>; 144 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 8 con; 0-3 aty)
% ( 60 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 185 ( 75 ^; 110 !; 0 ?; 185 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk3_type',type,
'#sk3': $i ).
thf(binunionEcases_type,type,
binunionEcases: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf('#sk2_type',type,
'#sk2': $i > $i > $i ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(subsetI1_type,type,
subsetI1: $o ).
thf(subsetE_type,type,
subsetE: $o ).
thf(breln1_type,type,
breln1: $i > $i > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(breln_type,type,
breln: $i > $i > $i > $o ).
thf(breln1,axiom,
( breln1
= ( ^ [A: $i,R: $i] : ( breln @ A @ A @ R ) ) ) ).
thf(breln,axiom,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ) ).
thf('0',plain,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln]) ).
thf('1',plain,
( breln
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( subset @ V_3 @ ( cartprod @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf('2',plain,
( breln1
= ( ^ [A: $i,R: $i] : ( breln @ A @ A @ R ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln1,'1']) ).
thf('3',plain,
( breln1
= ( ^ [V_1: $i,V_2: $i] : ( breln @ V_1 @ V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf(binunionEcases,axiom,
( binunionEcases
= ( ! [A: $i,B: $i,Xx: $i,Xphi: $o] :
( ( in @ Xx @ ( binunion @ A @ B ) )
=> ( ( ( in @ Xx @ A )
=> Xphi )
=> ( ( ( in @ Xx @ B )
=> Xphi )
=> Xphi ) ) ) ) ) ).
thf('4',plain,
( binunionEcases
= ( ! [X4: $i,X6: $i,X8: $i,X10: $o] :
( ( in @ X8 @ ( binunion @ X4 @ X6 ) )
=> ( ( ( in @ X8 @ X4 )
=> X10 )
=> ( ( ( in @ X8 @ X6 )
=> X10 )
=> X10 ) ) ) ) ),
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(subsetI1,axiom,
( subsetI1
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('6',plain,
( subsetI1
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(breln1unionprop,conjecture,
( subsetI1
=> ( subsetE
=> ( binunionEcases
=> ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ( breln1 @ A @ ( binunion @ R @ S ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( subset @ X10 @ X12 )
=> ( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) ) )
=> ( ! [X16: $i,X18: $i,X20: $i,X22: $o] :
( ( in @ X20 @ ( binunion @ X16 @ X18 ) )
=> ( ( ( in @ X20 @ X16 )
=> X22 )
=> ( ( ( in @ X20 @ X18 )
=> X22 )
=> X22 ) ) )
=> ! [X24: $i,X26: $i] :
( ( subset @ X26 @ ( cartprod @ X24 @ X24 ) )
=> ! [X28: $i] :
( ( subset @ X28 @ ( cartprod @ X24 @ X24 ) )
=> ( subset @ ( binunion @ X26 @ X28 ) @ ( cartprod @ X24 @ X24 ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( subset @ X10 @ X12 )
=> ( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) ) )
=> ( ! [X16: $i,X18: $i,X20: $i,X22: $o] :
( ( in @ X20 @ ( binunion @ X16 @ X18 ) )
=> ( ( ( in @ X20 @ X16 )
=> X22 )
=> ( ( ( in @ X20 @ X18 )
=> X22 )
=> X22 ) ) )
=> ! [X24: $i,X26: $i] :
( ( subset @ X26 @ ( cartprod @ X24 @ X24 ) )
=> ! [X28: $i] :
( ( subset @ X28 @ ( cartprod @ X24 @ X24 ) )
=> ( subset @ ( binunion @ X26 @ X28 ) @ ( cartprod @ X24 @ X24 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( subset @ Y0 @ Y1 ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $o] :
( ( in @ Y2 @ ( binunion @ Y0 @ Y1 ) )
=> ( ( ( in @ Y2 @ Y0 )
=> Y3 )
=> ( ( ( in @ Y2 @ Y1 )
=> Y3 )
=> Y3 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y1 @ ( cartprod @ Y0 @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( subset @ Y2 @ ( cartprod @ Y0 @ Y0 ) )
=> ( subset @ ( binunion @ Y1 @ Y2 ) @ ( cartprod @ Y0 @ Y0 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( subset @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( in @ Y1 @ Y0 ) ) )
=> ( subset @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
! [X2: $i,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X4 ) ) )
=> ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X4 ) ) )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl14,plain,
! [X2: $i,X4: $i] :
( ~ ( ( in @ ( '#sk2' @ X2 @ X4 ) @ X2 )
=> ( in @ ( '#sk2' @ X2 @ X4 ) @ X4 ) )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl19,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ ( '#sk2' @ X2 @ X4 ) @ X4 )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $o] :
( ( in @ Y2 @ ( binunion @ Y0 @ Y1 ) )
=> ( ( ( in @ Y2 @ Y0 )
=> Y3 )
=> ( ( ( in @ Y2 @ Y1 )
=> Y3 )
=> Y3 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y1 @ ( cartprod @ Y0 @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( subset @ Y2 @ ( cartprod @ Y0 @ Y0 ) )
=> ( subset @ ( binunion @ Y1 @ Y2 ) @ ( cartprod @ Y0 @ Y0 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $o] :
( ( in @ Y2 @ ( binunion @ Y0 @ Y1 ) )
=> ( ( ( in @ Y2 @ Y0 )
=> Y3 )
=> ( ( ( in @ Y2 @ Y1 )
=> Y3 )
=> Y3 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y1 @ ( cartprod @ Y0 @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( subset @ Y2 @ ( cartprod @ Y0 @ Y0 ) )
=> ( subset @ ( binunion @ Y1 @ Y2 ) @ ( cartprod @ Y0 @ Y0 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y1 @ ( cartprod @ Y0 @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( subset @ Y2 @ ( cartprod @ Y0 @ Y0 ) )
=> ( subset @ ( binunion @ Y1 @ Y2 ) @ ( cartprod @ Y0 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( subset @ Y0 @ ( cartprod @ '#sk1' @ '#sk1' ) )
=> ( !!
@ ^ [Y1: $i] :
( ( subset @ Y1 @ ( cartprod @ '#sk1' @ '#sk1' ) )
=> ( subset @ ( binunion @ Y0 @ Y1 ) @ ( cartprod @ '#sk1' @ '#sk1' ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl17,plain,
~ ( ( subset @ '#sk3' @ ( cartprod @ '#sk1' @ '#sk1' ) )
=> ( !!
@ ^ [Y0: $i] :
( ( subset @ Y0 @ ( cartprod @ '#sk1' @ '#sk1' ) )
=> ( subset @ ( binunion @ '#sk3' @ Y0 ) @ ( cartprod @ '#sk1' @ '#sk1' ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl23,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( subset @ Y0 @ ( cartprod @ '#sk1' @ '#sk1' ) )
=> ( subset @ ( binunion @ '#sk3' @ Y0 ) @ ( cartprod @ '#sk1' @ '#sk1' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl26,plain,
~ ( ( subset @ '#sk4' @ ( cartprod @ '#sk1' @ '#sk1' ) )
=> ( subset @ ( binunion @ '#sk3' @ '#sk4' ) @ ( cartprod @ '#sk1' @ '#sk1' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl29,plain,
~ ( subset @ ( binunion @ '#sk3' @ '#sk4' ) @ ( cartprod @ '#sk1' @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl43,plain,
~ ( in @ ( '#sk2' @ ( binunion @ '#sk3' @ '#sk4' ) @ ( cartprod @ '#sk1' @ '#sk1' ) ) @ ( cartprod @ '#sk1' @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl29]) ).
thf(zip_derived_cl22,plain,
subset @ '#sk3' @ ( cartprod @ '#sk1' @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl28,plain,
subset @ '#sk4' @ ( cartprod @ '#sk1' @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl18,plain,
! [X2: $i,X4: $i] :
( ( in @ ( '#sk2' @ X2 @ X4 ) @ X2 )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl29_001,plain,
~ ( subset @ ( binunion @ '#sk3' @ '#sk4' ) @ ( cartprod @ '#sk1' @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl45,plain,
in @ ( '#sk2' @ ( binunion @ '#sk3' @ '#sk4' ) @ ( cartprod @ '#sk1' @ '#sk1' ) ) @ ( binunion @ '#sk3' @ '#sk4' ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl29]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $o] :
( ( in @ Y2 @ ( binunion @ Y0 @ Y1 ) )
=> ( ( ( in @ Y2 @ Y0 )
=> Y3 )
=> ( ( ( in @ Y2 @ Y1 )
=> Y3 )
=> Y3 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $o] :
( ( in @ Y1 @ ( binunion @ X2 @ Y0 ) )
=> ( ( ( in @ Y1 @ X2 )
=> Y2 )
=> ( ( ( in @ Y1 @ Y0 )
=> Y2 )
=> Y2 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $o] :
( ( in @ Y0 @ ( binunion @ X2 @ X4 ) )
=> ( ( ( in @ Y0 @ X2 )
=> Y1 )
=> ( ( ( in @ Y0 @ X4 )
=> Y1 )
=> Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl21,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $o] :
( ( in @ X6 @ ( binunion @ X2 @ X4 ) )
=> ( ( ( in @ X6 @ X2 )
=> Y0 )
=> ( ( ( in @ X6 @ X4 )
=> Y0 )
=> Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl25,plain,
! [X2: $i,X4: $i,X6: $i,X8: $o] :
( ( in @ X6 @ ( binunion @ X2 @ X4 ) )
=> ( ( ( in @ X6 @ X2 )
=> X8 )
=> ( ( ( in @ X6 @ X4 )
=> X8 )
=> X8 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl27,plain,
! [X2: $i,X4: $i,X6: $i,X8: $o] :
( ~ ( in @ X6 @ ( binunion @ X2 @ X4 ) )
| ( ( ( in @ X6 @ X2 )
=> X8 )
=> ( ( ( in @ X6 @ X4 )
=> X8 )
=> X8 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl30,plain,
! [X2: $i,X4: $i,X6: $i,X8: $o] :
( ~ ( ( in @ X6 @ X2 )
=> X8 )
| ( ( ( in @ X6 @ X4 )
=> X8 )
=> X8 )
| ~ ( in @ X6 @ ( binunion @ X2 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl31,plain,
! [X2: $i,X4: $i,X6: $i,X8: $o] :
( ( in @ X6 @ X2 )
| ~ ( in @ X6 @ ( binunion @ X2 @ X4 ) )
| ( ( ( in @ X6 @ X4 )
=> X8 )
=> X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl33,plain,
! [X2: $i,X4: $i,X6: $i,X8: $o] :
( ~ ( ( in @ X6 @ X4 )
=> X8 )
| X8
| ~ ( in @ X6 @ ( binunion @ X2 @ X4 ) )
| ( in @ X6 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl35,plain,
! [X2: $i,X4: $i,X6: $i,X8: $o] :
( ( in @ X6 @ X4 )
| ( in @ X6 @ X2 )
| ~ ( in @ X6 @ ( binunion @ X2 @ X4 ) )
| X8 ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
| ( in @ X1 @ X2 )
| ~ ( in @ X1 @ ( binunion @ X2 @ X0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl53,plain,
( ( in @ ( '#sk2' @ ( binunion @ '#sk3' @ '#sk4' ) @ ( cartprod @ '#sk1' @ '#sk1' ) ) @ '#sk3' )
| ( in @ ( '#sk2' @ ( binunion @ '#sk3' @ '#sk4' ) @ ( cartprod @ '#sk1' @ '#sk1' ) ) @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl39]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ X2 @ Y0 )
=> ( ( in @ Y1 @ X2 )
=> ( in @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl11,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( subset @ X2 @ X4 )
=> ( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( subset @ X2 @ X4 )
=> ( ( in @ X6 @ X2 )
=> ( in @ X6 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( subset @ X2 @ X4 )
| ( ( in @ X6 @ X2 )
=> ( in @ X6 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ X2 )
| ( in @ X6 @ X4 )
| ~ ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl65,plain,
! [X0: $i] :
( ( in @ ( '#sk2' @ ( binunion @ '#sk3' @ '#sk4' ) @ ( cartprod @ '#sk1' @ '#sk1' ) ) @ '#sk3' )
| ~ ( subset @ '#sk4' @ X0 )
| ( in @ ( '#sk2' @ ( binunion @ '#sk3' @ '#sk4' ) @ ( cartprod @ '#sk1' @ '#sk1' ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl24]) ).
thf(zip_derived_cl87,plain,
( ( in @ ( '#sk2' @ ( binunion @ '#sk3' @ '#sk4' ) @ ( cartprod @ '#sk1' @ '#sk1' ) ) @ ( cartprod @ '#sk1' @ '#sk1' ) )
| ( in @ ( '#sk2' @ ( binunion @ '#sk3' @ '#sk4' ) @ ( cartprod @ '#sk1' @ '#sk1' ) ) @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl65]) ).
thf(zip_derived_cl43_002,plain,
~ ( in @ ( '#sk2' @ ( binunion @ '#sk3' @ '#sk4' ) @ ( cartprod @ '#sk1' @ '#sk1' ) ) @ ( cartprod @ '#sk1' @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl29]) ).
thf(zip_derived_cl123,plain,
in @ ( '#sk2' @ ( binunion @ '#sk3' @ '#sk4' ) @ ( cartprod @ '#sk1' @ '#sk1' ) ) @ '#sk3',
inference(clc,[status(thm)],[zip_derived_cl87,zip_derived_cl43]) ).
thf(zip_derived_cl24_003,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ X2 )
| ( in @ X6 @ X4 )
| ~ ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl124,plain,
! [X0: $i] :
( ~ ( subset @ '#sk3' @ X0 )
| ( in @ ( '#sk2' @ ( binunion @ '#sk3' @ '#sk4' ) @ ( cartprod @ '#sk1' @ '#sk1' ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl24]) ).
thf(zip_derived_cl126,plain,
in @ ( '#sk2' @ ( binunion @ '#sk3' @ '#sk4' ) @ ( cartprod @ '#sk1' @ '#sk1' ) ) @ ( cartprod @ '#sk1' @ '#sk1' ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl124]) ).
thf(zip_derived_cl132,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU782^2 : TPTP v9.2.0. Released v3.7.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ILLAvQCN5T true
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Oct 1 16:04:53 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % Running portfolio for 300 s
% 0.12/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Number of cores: 8
% 0.12/0.32 % Python version: Python 3.6.8
% 0.12/0.32 % Running in HO mode
% 0.49/0.62 % Total configuration time : 828
% 0.49/0.62 % Estimated wc time : 1656
% 0.49/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.53/1.01 % Solved by lams/20_acsne_simpl.sh.
% 0.53/1.01 % done 33 iterations in 0.158s
% 0.53/1.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/1.01 % SZS output start Refutation
% See solution above
% 0.53/1.01
% 0.53/1.01
% 0.53/1.01 % Terminating...
% 3.88/1.13 % Runner terminated.
% 3.88/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------