TSTP Solution File: SEU627^2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU627^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QOXPng0k7Q true
% Computer : n008.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 Aug 31 19:14:50 EDT 2023
% Result : Theorem 0.22s 0.79s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 25
% Syntax : Number of formulae : 79 ( 17 unt; 15 typ; 0 def)
% Number of atoms : 320 ( 42 equ; 0 cnn)
% Maximal formula atoms : 31 ( 5 avg)
% Number of connectives : 1310 ( 37 ~; 38 |; 0 &;1033 @)
% ( 0 <=>; 111 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 11 con; 0-2 aty)
% ( 91 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 212 ( 91 ^; 121 !; 0 ?; 212 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(upairinpowunion_type,type,
upairinpowunion: $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(subsetI2_type,type,
subsetI2: $o ).
thf('#sk1_type',type,
'#sk1': $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf('#sk5_type',type,
'#sk5': $i ).
thf(singletoninpowunion_type,type,
singletoninpowunion: $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(upairset2E_type,type,
upairset2E: $o ).
thf(upairinpowunion,axiom,
( upairinpowunion
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( in @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ).
thf('0',plain,
( upairinpowunion
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ! [X10: $i] :
( ( in @ X10 @ X6 )
=> ( in @ ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(upairset2E,axiom,
( upairset2E
= ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ( Xz = Xx )
| ( Xz = Xy ) ) ) ) ) ).
thf('1',plain,
( upairset2E
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) )
=> ( ( X8 = X4 )
| ( X8 = X6 ) ) ) ) ),
define([status(thm)]) ).
thf(singletoninpowunion,axiom,
( singletoninpowunion
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ).
thf('2',plain,
( singletoninpowunion
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ ( setadjoin @ X8 @ emptyset ) @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(subsetI2,axiom,
( subsetI2
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('3',plain,
( subsetI2
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(ubforcartprodlem1,conjecture,
( subsetI2
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairinpowunion
=> ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( subset @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ) ) ).
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] :
( ( in @ X14 @ X10 )
=> ( in @ ( setadjoin @ X14 @ emptyset ) @ ( powerset @ ( binunion @ X10 @ X12 ) ) ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ ( setadjoin @ X16 @ ( setadjoin @ X18 @ emptyset ) ) )
=> ( ( X20 = X18 )
| ( X20 = X16 ) ) )
=> ( ! [X22: $i,X24: $i,X26: $i] :
( ( in @ X26 @ X22 )
=> ! [X28: $i] :
( ( in @ X28 @ X24 )
=> ( in @ ( setadjoin @ X26 @ ( setadjoin @ X28 @ emptyset ) ) @ ( powerset @ ( binunion @ X22 @ X24 ) ) ) ) )
=> ! [X30: $i,X32: $i,X34: $i] :
( ( in @ X34 @ X30 )
=> ! [X36: $i] :
( ( in @ X36 @ X32 )
=> ( subset @ ( setadjoin @ ( setadjoin @ X34 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X34 @ ( setadjoin @ X36 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X30 @ X32 ) ) ) ) ) ) ) ) ) ).
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] :
( ( in @ X14 @ X10 )
=> ( in @ ( setadjoin @ X14 @ emptyset ) @ ( powerset @ ( binunion @ X10 @ X12 ) ) ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ ( setadjoin @ X16 @ ( setadjoin @ X18 @ emptyset ) ) )
=> ( ( X20 = X18 )
| ( X20 = X16 ) ) )
=> ( ! [X22: $i,X24: $i,X26: $i] :
( ( in @ X26 @ X22 )
=> ! [X28: $i] :
( ( in @ X28 @ X24 )
=> ( in @ ( setadjoin @ X26 @ ( setadjoin @ X28 @ emptyset ) ) @ ( powerset @ ( binunion @ X22 @ X24 ) ) ) ) )
=> ! [X30: $i,X32: $i,X34: $i] :
( ( in @ X34 @ X30 )
=> ! [X36: $i] :
( ( in @ X36 @ X32 )
=> ( subset @ ( setadjoin @ ( setadjoin @ X34 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X34 @ ( setadjoin @ X36 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X30 @ X32 ) ) ) ) ) ) ) ) ),
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] :
( ( in @ Y2 @ Y0 )
=> ( in @ ( setadjoin @ Y2 @ emptyset ) @ ( powerset @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) )
=> ( ( Y2 = Y1 )
| ( Y2 = Y0 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( setadjoin @ Y2 @ ( setadjoin @ Y3 @ emptyset ) ) @ ( powerset @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( subset @ ( setadjoin @ ( setadjoin @ Y2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y2 @ ( setadjoin @ Y3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ ( setadjoin @ Y2 @ emptyset ) @ ( powerset @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) )
=> ( ( Y2 = Y1 )
| ( Y2 = Y0 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( setadjoin @ Y2 @ ( setadjoin @ Y3 @ emptyset ) ) @ ( powerset @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( subset @ ( setadjoin @ ( setadjoin @ Y2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y2 @ ( setadjoin @ Y3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ ( setadjoin @ Y2 @ emptyset ) @ ( powerset @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( in @ ( setadjoin @ Y1 @ emptyset ) @ ( powerset @ ( binunion @ X2 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl11,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ ( setadjoin @ Y0 @ emptyset ) @ ( powerset @ ( binunion @ X2 @ X4 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( in @ X6 @ X2 )
=> ( in @ ( setadjoin @ X6 @ emptyset ) @ ( powerset @ ( binunion @ X2 @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl22,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ X2 )
| ( in @ ( setadjoin @ X6 @ emptyset ) @ ( powerset @ ( binunion @ X2 @ X4 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl5,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) )
=> ( ( Y2 = Y1 )
| ( Y2 = Y0 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( setadjoin @ Y2 @ ( setadjoin @ Y3 @ emptyset ) ) @ ( powerset @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( subset @ ( setadjoin @ ( setadjoin @ Y2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y2 @ ( setadjoin @ Y3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( setadjoin @ Y2 @ ( setadjoin @ Y3 @ emptyset ) ) @ ( powerset @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( subset @ ( setadjoin @ ( setadjoin @ Y2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y2 @ ( setadjoin @ Y3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( setadjoin @ Y2 @ ( setadjoin @ Y3 @ emptyset ) ) @ ( powerset @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl18,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ ( setadjoin @ Y1 @ ( setadjoin @ Y2 @ emptyset ) ) @ ( powerset @ ( binunion @ X2 @ Y0 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X4 )
=> ( in @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ ( powerset @ ( binunion @ X2 @ X4 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl27,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( in @ X6 @ X2 )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ ( setadjoin @ X6 @ ( setadjoin @ Y0 @ emptyset ) ) @ ( powerset @ ( binunion @ X2 @ X4 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl30,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ X2 )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ ( setadjoin @ X6 @ ( setadjoin @ Y0 @ emptyset ) ) @ ( powerset @ ( binunion @ X2 @ X4 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl34,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( in @ X8 @ X4 )
=> ( in @ ( setadjoin @ X6 @ ( setadjoin @ X8 @ emptyset ) ) @ ( powerset @ ( binunion @ X2 @ X4 ) ) ) )
| ~ ( in @ X6 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl36,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( in @ X8 @ X4 )
| ( in @ ( setadjoin @ X6 @ ( setadjoin @ X8 @ emptyset ) ) @ ( powerset @ ( binunion @ X2 @ X4 ) ) )
| ~ ( in @ X6 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) )
=> ( ( Y2 = Y1 )
| ( Y2 = Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( setadjoin @ X2 @ ( setadjoin @ Y0 @ emptyset ) ) )
=> ( ( Y1 = Y0 )
| ( Y1 = X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl17,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) ) )
=> ( ( Y0 = X4 )
| ( Y0 = X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl23,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( in @ X6 @ ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) ) )
=> ( ( X6 = X4 )
| ( X6 = X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl26,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) ) )
| ( X6 = X4 )
| ( X6 = X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl29,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( X6 = X4 )
| ( X6 = X2 )
| ~ ( in @ X6 @ ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl33,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( X6 = X4 )
| ( X6 = X2 )
| ~ ( in @ X6 @ ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl29]) ).
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_cl15,plain,
! [X2: $i,X4: $i] :
( ~ ( ( in @ ( '#sk1' @ X2 @ X4 ) @ X2 )
=> ( in @ ( '#sk1' @ X2 @ X4 ) @ X4 ) )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X4: $i] :
( ( in @ ( '#sk1' @ X2 @ X4 ) @ X2 )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( '#sk1' @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ X2 )
= X1 )
| ( ( '#sk1' @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ X2 )
= X0 )
| ( subset @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl20]) ).
thf(zip_derived_cl14,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( subset @ ( setadjoin @ ( setadjoin @ Y2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y2 @ ( setadjoin @ Y3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl19,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( subset @ ( setadjoin @ ( setadjoin @ Y1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ '#sk2' @ Y0 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl25,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ '#sk3' )
=> ( subset @ ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl28,plain,
~ ( ( in @ '#sk4' @ '#sk2' )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk3' )
=> ( subset @ ( setadjoin @ ( setadjoin @ '#sk4' @ emptyset ) @ ( setadjoin @ ( setadjoin @ '#sk4' @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl32,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk3' )
=> ( subset @ ( setadjoin @ ( setadjoin @ '#sk4' @ emptyset ) @ ( setadjoin @ ( setadjoin @ '#sk4' @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl35,plain,
~ ( ( in @ '#sk5' @ '#sk3' )
=> ( subset @ ( setadjoin @ ( setadjoin @ '#sk4' @ emptyset ) @ ( setadjoin @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl38,plain,
~ ( subset @ ( setadjoin @ ( setadjoin @ '#sk4' @ emptyset ) @ ( setadjoin @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl47,plain,
( ( ( '#sk1' @ ( setadjoin @ ( setadjoin @ '#sk4' @ emptyset ) @ ( setadjoin @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) )
= ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) )
| ( ( '#sk1' @ ( setadjoin @ ( setadjoin @ '#sk4' @ emptyset ) @ ( setadjoin @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) )
= ( setadjoin @ '#sk4' @ emptyset ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl38]) ).
thf(zip_derived_cl21,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ ( '#sk1' @ X2 @ X4 ) @ X4 )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl51,plain,
( ~ ( in @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) )
| ( ( '#sk1' @ ( setadjoin @ ( setadjoin @ '#sk4' @ emptyset ) @ ( setadjoin @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) )
= ( setadjoin @ '#sk4' @ emptyset ) )
| ( subset @ ( setadjoin @ ( setadjoin @ '#sk4' @ emptyset ) @ ( setadjoin @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl21]) ).
thf(zip_derived_cl38_001,plain,
~ ( subset @ ( setadjoin @ ( setadjoin @ '#sk4' @ emptyset ) @ ( setadjoin @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl63,plain,
( ( ( '#sk1' @ ( setadjoin @ ( setadjoin @ '#sk4' @ emptyset ) @ ( setadjoin @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) )
= ( setadjoin @ '#sk4' @ emptyset ) )
| ~ ( in @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl51,zip_derived_cl38]) ).
thf(zip_derived_cl21_002,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ ( '#sk1' @ X2 @ X4 ) @ X4 )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl65,plain,
( ~ ( in @ ( setadjoin @ '#sk4' @ emptyset ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) )
| ~ ( in @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) )
| ( subset @ ( setadjoin @ ( setadjoin @ '#sk4' @ emptyset ) @ ( setadjoin @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl21]) ).
thf(zip_derived_cl38_003,plain,
~ ( subset @ ( setadjoin @ ( setadjoin @ '#sk4' @ emptyset ) @ ( setadjoin @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl77,plain,
( ~ ( in @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) )
| ~ ( in @ ( setadjoin @ '#sk4' @ emptyset ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl38]) ).
thf(zip_derived_cl79,plain,
( ~ ( in @ '#sk4' @ '#sk2' )
| ~ ( in @ '#sk5' @ '#sk3' )
| ~ ( in @ ( setadjoin @ '#sk4' @ emptyset ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl77]) ).
thf(zip_derived_cl31,plain,
in @ '#sk4' @ '#sk2',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl37,plain,
in @ '#sk5' @ '#sk3',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl82,plain,
~ ( in @ ( setadjoin @ '#sk4' @ emptyset ) @ ( powerset @ ( binunion @ '#sk2' @ '#sk3' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl31,zip_derived_cl37]) ).
thf(zip_derived_cl87,plain,
~ ( in @ '#sk4' @ '#sk2' ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl82]) ).
thf(zip_derived_cl31_004,plain,
in @ '#sk4' @ '#sk2',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl90,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU627^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QOXPng0k7Q true
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 16:59:18 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.22/0.64 % Total configuration time : 828
% 0.22/0.64 % Estimated wc time : 1656
% 0.22/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.79 % Solved by lams/35_full_unif4.sh.
% 0.22/0.79 % done 27 iterations in 0.034s
% 0.22/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.79 % SZS output start Refutation
% See solution above
% 0.22/0.79
% 0.22/0.79
% 0.22/0.79 % Terminating...
% 1.34/0.86 % Runner terminated.
% 1.34/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------