TSTP Solution File: SEU770^2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU770^2 : 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.3hFCbGFTyb true
% Computer : n014.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 19:17:21 EDT 2023
% Result : Theorem 214.20s 28.50s
% Output : Refutation 214.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 56
% Syntax : Number of formulae : 89 ( 34 unt; 30 typ; 0 def)
% Number of atoms : 309 ( 54 equ; 0 cnn)
% Maximal formula atoms : 37 ( 5 avg)
% Number of connectives : 955 ( 48 ~; 43 |; 40 &; 681 @)
% ( 0 <=>; 139 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 78 ( 78 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 30 usr; 13 con; 0-3 aty)
% ( 4 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 248 ( 61 ^; 179 !; 8 ?; 248 :)
% Comments :
%------------------------------------------------------------------------------
thf(dsetconstrI_type,type,
dsetconstrI: $o ).
thf(reflwellordering_type,type,
reflwellordering: $i > $i > $o ).
thf(ex1_type,type,
ex1: $i > ( $i > $o ) > $o ).
thf(sk__26_type,type,
sk__26: $i > ( $i > $o ) > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__34_type,type,
sk__34: $i > $i > $i ).
thf(sk__29_type,type,
sk__29: $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(dsetconstrEL_type,type,
dsetconstrEL: $o ).
thf(nonemptyI_type,type,
nonemptyI: $o ).
thf(nonempty_type,type,
nonempty: $i > $o ).
thf(ex1I_type,type,
ex1I: $o ).
thf(sk__31_type,type,
sk__31: $i > $i ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf('#l_lift12203_type',type,
'#l_lift12203': $i > $o ).
thf(refllinearorder_type,type,
refllinearorder: $i > $i > $o ).
thf(sk__27_type,type,
sk__27: $i ).
thf(sk__28_type,type,
sk__28: $i ).
thf(sk__32_type,type,
sk__32: $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(reflexive_type,type,
reflexive: $i > $i > $o ).
thf(transitive_type,type,
transitive: $i > $i > $o ).
thf(powersetI_type,type,
powersetI: $o ).
thf(sk__33_type,type,
sk__33: $i > $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(antisymmetric_type,type,
antisymmetric: $i > $i > $o ).
thf(sk__30_type,type,
sk__30: $i ).
thf(breln1Set_type,type,
breln1Set: $i > $i ).
thf(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(singleton_type,type,
singleton: $i > $o ).
thf(reflwellordering,axiom,
( reflwellordering
= ( ^ [A: $i,R: $i] :
( ( refllinearorder @ A @ R )
& ! [X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ( ( nonempty @ X )
=> ? [Xx: $i] :
( ! [Xy: $i] :
( ( in @ Xy @ X )
=> ( in @ ( kpair @ Xx @ Xy ) @ R ) )
& ( in @ Xx @ X ) ) ) ) ) ) ) ).
thf(refllinearorder,axiom,
( refllinearorder
= ( ^ [A: $i,R: $i] :
( ( reflexive @ A @ R )
& ( transitive @ A @ R )
& ( antisymmetric @ A @ R )
& ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ R )
| ( in @ ( kpair @ Xy @ Xx ) @ R ) ) ) ) ) ) ) ).
thf(antisymmetric,axiom,
( antisymmetric
= ( ^ [A: $i,R: $i] :
! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( ( in @ ( kpair @ Xx @ Xy ) @ R )
& ( in @ ( kpair @ Xy @ Xx ) @ R ) )
=> ( Xx = Xy ) ) ) ) ) ) ).
thf('0',plain,
( antisymmetric
= ( ^ [A: $i,R: $i] :
! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( ( in @ ( kpair @ Xx @ Xy ) @ R )
& ( in @ ( kpair @ Xy @ Xx ) @ R ) )
=> ( Xx = Xy ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[antisymmetric]) ).
thf('1',plain,
( antisymmetric
= ( ^ [V_1: $i,V_2: $i] :
! [X4: $i] :
( ( in @ X4 @ V_1 )
=> ! [X6: $i] :
( ( in @ X6 @ V_1 )
=> ( ( ( in @ ( kpair @ X4 @ X6 ) @ V_2 )
& ( in @ ( kpair @ X6 @ X4 ) @ V_2 ) )
=> ( X4 = X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf('2',plain,
( refllinearorder
= ( ^ [A: $i,R: $i] :
( ( reflexive @ A @ R )
& ( transitive @ A @ R )
& ( antisymmetric @ A @ R )
& ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ R )
| ( in @ ( kpair @ Xy @ Xx ) @ R ) ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[refllinearorder,'1']) ).
thf('3',plain,
( refllinearorder
= ( ^ [V_1: $i,V_2: $i] :
( ( reflexive @ V_1 @ V_2 )
& ( transitive @ V_1 @ V_2 )
& ( antisymmetric @ V_1 @ V_2 )
& ! [X4: $i] :
( ( in @ X4 @ V_1 )
=> ! [X6: $i] :
( ( in @ X6 @ V_1 )
=> ( ( in @ ( kpair @ X4 @ X6 ) @ V_2 )
| ( in @ ( kpair @ X6 @ X4 ) @ V_2 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(nonempty,axiom,
( nonempty
= ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
thf('4',plain,
( nonempty
= ( ^ [Xx: $i] : ( Xx != emptyset ) ) ),
inference(simplify_rw_rule,[status(thm)],[nonempty]) ).
thf('5',plain,
( nonempty
= ( ^ [V_1: $i] : ( V_1 != emptyset ) ) ),
define([status(thm)]) ).
thf('6',plain,
( reflwellordering
= ( ^ [A: $i,R: $i] :
( ( refllinearorder @ A @ R )
& ! [X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ( ( nonempty @ X )
=> ? [Xx: $i] :
( ! [Xy: $i] :
( ( in @ Xy @ X )
=> ( in @ ( kpair @ Xx @ Xy ) @ R ) )
& ( in @ Xx @ X ) ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[reflwellordering,'3','1','5']) ).
thf('7',plain,
( reflwellordering
= ( ^ [V_1: $i,V_2: $i] :
( ( refllinearorder @ V_1 @ V_2 )
& ! [X4: $i] :
( ( in @ X4 @ ( powerset @ V_1 ) )
=> ( ( nonempty @ X4 )
=> ? [X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ ( kpair @ X6 @ X8 ) @ V_2 ) )
& ( in @ X6 @ X4 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(ex1I,axiom,
( ex1I
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( Xphi @ Xy )
=> ( Xy = Xx ) ) )
=> ( ex1 @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
thf('8',plain,
( ex1I
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ( X6 @ X10 )
=> ( X10 = X8 ) ) )
=> ( ex1 @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(ex1,axiom,
( ex1
= ( ^ [A: $i,Xphi: $i > $o] :
( singleton
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
thf('9',plain,
( ex1
= ( ^ [A: $i,Xphi: $i > $o] :
( singleton
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ex1]) ).
thf('10',plain,
( ex1
= ( ^ [V_1: $i,V_2: $i > $o] :
( singleton
@ ( dsetconstr @ V_1
@ ^ [V_3: $i] : ( V_2 @ V_3 ) ) ) ) ),
define([status(thm)]) ).
thf(powersetI,axiom,
( powersetI
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) ) ) ).
thf('11',plain,
( powersetI
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) )
=> ( in @ X6 @ ( powerset @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(nonemptyI,axiom,
( nonemptyI
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( nonempty
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
thf('12',plain,
( nonemptyI
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( nonempty
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ 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('13',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(dsetconstrEL,axiom,
( dsetconstrEL
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf('14',plain,
( dsetconstrEL
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) ) ) ),
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('15',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(choice2fnsingleton,conjecture,
( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( nonemptyI
=> ( powersetI
=> ( ex1I
=> ! [A: $i,B: $i,Xphi: $i > $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ? [Xy: $i] :
( ( Xphi @ Xx @ Xy )
& ( in @ Xy @ B ) ) )
=> ! [R: $i] :
( ( in @ R @ ( breln1Set @ B ) )
=> ( ( reflwellordering @ B @ R )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( singleton
@ ( dsetconstr @ B
@ ^ [Xy: $i] :
( ( Xphi @ Xx @ Xy )
& ! [Xz: $i] :
( ( in @ Xz @ B )
=> ( ( Xphi @ Xx @ Xz )
=> ( in @ ( kpair @ Xy @ Xz ) @ R ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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 > $o,X14: $i] :
( ( in @ X14
@ ( dsetconstr @ X10
@ ^ [V_2: $i] : ( X12 @ V_2 ) ) )
=> ( in @ X14 @ X10 ) )
=> ( ! [X16: $i,X18: $i > $o,X20: $i] :
( ( in @ X20
@ ( dsetconstr @ X16
@ ^ [V_3: $i] : ( X18 @ V_3 ) ) )
=> ( X18 @ X20 ) )
=> ( ! [X22: $i,X24: $i > $o,X26: $i] :
( ( in @ X26 @ X22 )
=> ( ( X24 @ X26 )
=> ( ( dsetconstr @ X22
@ ^ [V_4: $i] : ( X24 @ V_4 ) )
!= emptyset ) ) )
=> ( ! [X28: $i,X30: $i] :
( ! [X32: $i] :
( ( in @ X32 @ X30 )
=> ( in @ X32 @ X28 ) )
=> ( in @ X30 @ ( powerset @ X28 ) ) )
=> ( ! [X34: $i,X36: $i > $o,X38: $i] :
( ( in @ X38 @ X34 )
=> ( ( X36 @ X38 )
=> ( ! [X40: $i] :
( ( in @ X40 @ X34 )
=> ( ( X36 @ X40 )
=> ( X40 = X38 ) ) )
=> ( singleton
@ ( dsetconstr @ X34
@ ^ [V_5: $i] : ( X36 @ V_5 ) ) ) ) ) )
=> ! [X42: $i,X44: $i,X46: $i > $i > $o] :
( ! [X48: $i] :
( ( in @ X48 @ X42 )
=> ? [X50: $i] :
( ( X46 @ X48 @ X50 )
& ( in @ X50 @ X44 ) ) )
=> ! [X52: $i] :
( ( in @ X52 @ ( breln1Set @ X44 ) )
=> ( ( ( reflexive @ X44 @ X52 )
& ( transitive @ X44 @ X52 )
& ! [X54: $i] :
( ( in @ X54 @ X44 )
=> ! [X56: $i] :
( ( in @ X56 @ X44 )
=> ( ( ( in @ ( kpair @ X54 @ X56 ) @ X52 )
& ( in @ ( kpair @ X56 @ X54 ) @ X52 ) )
=> ( X54 = X56 ) ) ) )
& ! [X58: $i] :
( ( in @ X58 @ X44 )
=> ! [X60: $i] :
( ( in @ X60 @ X44 )
=> ( ( in @ ( kpair @ X58 @ X60 ) @ X52 )
| ( in @ ( kpair @ X60 @ X58 ) @ X52 ) ) ) )
& ! [X62: $i] :
( ( in @ X62 @ ( powerset @ X44 ) )
=> ( ( X62 != emptyset )
=> ? [X64: $i] :
( ! [X66: $i] :
( ( in @ X66 @ X62 )
=> ( in @ ( kpair @ X64 @ X66 ) @ X52 ) )
& ( in @ X64 @ X62 ) ) ) ) )
=> ! [X68: $i] :
( ( in @ X68 @ X42 )
=> ( singleton
@ ( dsetconstr @ X44
@ ^ [V_6: $i] :
( ! [X70: $i] :
( ( in @ X70 @ X44 )
=> ( ( X46 @ X68 @ X70 )
=> ( in @ ( kpair @ V_6 @ X70 ) @ X52 ) ) )
& ( X46 @ X68 @ V_6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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 > $o,X14: $i] :
( ( in @ X14
@ ( dsetconstr @ X10
@ ^ [V_2: $i] : ( X12 @ V_2 ) ) )
=> ( in @ X14 @ X10 ) )
=> ( ! [X16: $i,X18: $i > $o,X20: $i] :
( ( in @ X20
@ ( dsetconstr @ X16
@ ^ [V_3: $i] : ( X18 @ V_3 ) ) )
=> ( X18 @ X20 ) )
=> ( ! [X22: $i,X24: $i > $o,X26: $i] :
( ( in @ X26 @ X22 )
=> ( ( X24 @ X26 )
=> ( ( dsetconstr @ X22
@ ^ [V_4: $i] : ( X24 @ V_4 ) )
!= emptyset ) ) )
=> ( ! [X28: $i,X30: $i] :
( ! [X32: $i] :
( ( in @ X32 @ X30 )
=> ( in @ X32 @ X28 ) )
=> ( in @ X30 @ ( powerset @ X28 ) ) )
=> ( ! [X34: $i,X36: $i > $o,X38: $i] :
( ( in @ X38 @ X34 )
=> ( ( X36 @ X38 )
=> ( ! [X40: $i] :
( ( in @ X40 @ X34 )
=> ( ( X36 @ X40 )
=> ( X40 = X38 ) ) )
=> ( singleton
@ ( dsetconstr @ X34
@ ^ [V_5: $i] : ( X36 @ V_5 ) ) ) ) ) )
=> ! [X42: $i,X44: $i,X46: $i > $i > $o] :
( ! [X48: $i] :
( ( in @ X48 @ X42 )
=> ? [X50: $i] :
( ( X46 @ X48 @ X50 )
& ( in @ X50 @ X44 ) ) )
=> ! [X52: $i] :
( ( in @ X52 @ ( breln1Set @ X44 ) )
=> ( ( ( reflexive @ X44 @ X52 )
& ( transitive @ X44 @ X52 )
& ! [X54: $i] :
( ( in @ X54 @ X44 )
=> ! [X56: $i] :
( ( in @ X56 @ X44 )
=> ( ( ( in @ ( kpair @ X54 @ X56 ) @ X52 )
& ( in @ ( kpair @ X56 @ X54 ) @ X52 ) )
=> ( X54 = X56 ) ) ) )
& ! [X58: $i] :
( ( in @ X58 @ X44 )
=> ! [X60: $i] :
( ( in @ X60 @ X44 )
=> ( ( in @ ( kpair @ X58 @ X60 ) @ X52 )
| ( in @ ( kpair @ X60 @ X58 ) @ X52 ) ) ) )
& ! [X62: $i] :
( ( in @ X62 @ ( powerset @ X44 ) )
=> ( ( X62 != emptyset )
=> ? [X64: $i] :
( ! [X66: $i] :
( ( in @ X66 @ X62 )
=> ( in @ ( kpair @ X64 @ X66 ) @ X52 ) )
& ( in @ X64 @ X62 ) ) ) ) )
=> ! [X68: $i] :
( ( in @ X68 @ X42 )
=> ( singleton
@ ( dsetconstr @ X44
@ ^ [V_6: $i] :
( ! [X70: $i] :
( ( in @ X70 @ X44 )
=> ( ( X46 @ X68 @ X70 )
=> ( in @ ( kpair @ V_6 @ X70 ) @ X52 ) ) )
& ( X46 @ X68 @ V_6 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19970,plain,
! [X15: $i,X16: $i > $o,X17: $i] :
( ( singleton @ ( dsetconstr @ X15 @ X16 ) )
| ~ ( in @ X17 @ X15 )
| ( ( sk__26 @ X17 @ X16 @ X15 )
!= X17 )
| ~ ( X16 @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
~ ( singleton
@ ( dsetconstr @ sk__28
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__28 )
=> ( ( sk__29 @ sk__32 @ Y1 )
=> ( in @ ( kpair @ Y0 @ Y1 ) @ sk__30 ) ) ) )
& ( sk__29 @ sk__32 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5_001,plain,
~ ( singleton
@ ( dsetconstr @ sk__28
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__28 )
=> ( ( sk__29 @ sk__32 @ Y1 )
=> ( in @ ( kpair @ Y0 @ Y1 ) @ sk__30 ) ) ) )
& ( sk__29 @ sk__32 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl19967,plain,
! [X1: $i] :
( ( '#l_lift12203' @ X1 )
= ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ sk__28 )
=> ( ( sk__29 @ sk__32 @ Y0 )
=> ( in @ ( kpair @ X1 @ Y0 ) @ sk__30 ) ) ) )
& ( sk__29 @ sk__32 @ X1 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl19968,plain,
~ ( singleton @ ( dsetconstr @ sk__28 @ '#l_lift12203' ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl5,zip_derived_cl19967]) ).
thf(zip_derived_cl19971,plain,
! [X15: $i,X16: $i > $o,X17: $i] :
( ( singleton @ ( dsetconstr @ X15 @ X16 ) )
| ~ ( in @ X17 @ X15 )
| ( in @ ( sk__26 @ X17 @ X16 @ X15 ) @ X15 )
| ~ ( X16 @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl19969,plain,
! [X15: $i,X16: $i > $o,X17: $i] :
( ( singleton @ ( dsetconstr @ X15 @ X16 ) )
| ~ ( in @ X17 @ X15 )
| ( X16 @ ( sk__26 @ X17 @ X16 @ X15 ) )
| ~ ( X16 @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
in @ sk__32 @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13,plain,
! [X14: $i] :
( ( sk__29 @ X14 @ ( sk__33 @ X14 ) )
| ~ ( in @ X14 @ sk__27 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6_002,plain,
in @ sk__32 @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl14,plain,
! [X14: $i] :
( ( in @ ( sk__33 @ X14 ) @ sk__28 )
| ~ ( in @ X14 @ sk__27 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl18,plain,
! [X18: $i,X19: $i > $o,X20: $i] :
( ( ( dsetconstr @ X18
@ ^ [Y0: $i] : ( X19 @ Y0 ) )
!= emptyset )
| ~ ( in @ X20 @ X18 )
| ~ ( X19 @ X20 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl45,plain,
! [X18: $i,X19: $i > $o,X20: $i] :
( ( ( dsetconstr @ X18 @ X19 )
!= emptyset )
| ~ ( in @ X20 @ X18 )
| ~ ( X19 @ X20 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl150,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( in @ X0 @ sk__27 )
| ~ ( X1 @ ( sk__33 @ X0 ) )
| ( ( dsetconstr @ sk__28 @ X1 )
!= emptyset ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl45]) ).
thf(zip_derived_cl236,plain,
! [X0: $i > $o] :
( ( ( dsetconstr @ sk__28 @ X0 )
!= emptyset )
| ~ ( X0 @ ( sk__33 @ sk__32 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl150]) ).
thf(zip_derived_cl19973,plain,
! [X21: $i,X22: $i,X23: $i > $o] :
( ( in @ X21 @ X22 )
| ~ ( in @ X21 @ ( dsetconstr @ X22 @ X23 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X6: $i,X7: $i] :
( ( in @ X6 @ ( powerset @ X7 ) )
| ( in @ ( sk__34 @ X6 @ X7 ) @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl19,plain,
! [X21: $i,X22: $i,X23: $i > $o] :
( ( in @ X21 @ X22 )
| ~ ( in @ X21
@ ( dsetconstr @ X22
@ ^ [Y0: $i] : ( X23 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl643,plain,
! [X21: $i,X22: $i,X23: $i > $o] :
( ( in @ X21 @ X22 )
| ~ ( in @ X21 @ ( dsetconstr @ X22 @ X23 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl644,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( in @ ( dsetconstr @ X1 @ X0 ) @ ( powerset @ X2 ) )
| ( in @ ( sk__34 @ ( dsetconstr @ X1 @ X0 ) @ X2 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl643]) ).
thf(zip_derived_cl7,plain,
! [X8: $i] :
( ( X8 = emptyset )
| ( in @ ( sk__31 @ X8 ) @ X8 )
| ~ ( in @ X8 @ ( powerset @ sk__28 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl19966,plain,
! [X3: $i > $o,X4: $i,X5: $i] :
( ( X3 @ X4 )
| ~ ( in @ X4 @ ( dsetconstr @ X5 @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X6: $i,X7: $i] :
( ( in @ X6 @ ( powerset @ X7 ) )
| ~ ( in @ ( sk__34 @ X6 @ X7 ) @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl19972,plain,
! [X18: $i,X19: $i > $o,X20: $i] :
( ( ( dsetconstr @ X18 @ X19 )
!= emptyset )
| ~ ( in @ X20 @ X18 )
| ~ ( X19 @ X20 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl19965,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X1 )
| ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) )
| ~ ( in @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl19967_003,plain,
! [X1: $i] :
( ( '#l_lift12203' @ X1 )
= ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ sk__28 )
=> ( ( sk__29 @ sk__32 @ Y0 )
=> ( in @ ( kpair @ X1 @ Y0 ) @ sk__30 ) ) ) )
& ( sk__29 @ sk__32 @ X1 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl10,plain,
! [X12: $i,X13: $i] :
( ~ ( in @ X12 @ sk__28 )
| ( X13 = X12 )
| ~ ( in @ ( kpair @ X12 @ X13 ) @ sk__30 )
| ~ ( in @ ( kpair @ X13 @ X12 ) @ sk__30 )
| ~ ( in @ X13 @ sk__28 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X8: $i,X9: $i] :
( ( X8 = emptyset )
| ~ ( in @ X9 @ X8 )
| ( in @ ( kpair @ ( sk__31 @ X8 ) @ X9 ) @ sk__30 )
| ~ ( in @ X8 @ ( powerset @ sk__28 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl20009,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl19970,zip_derived_cl19968,zip_derived_cl19971,zip_derived_cl19969,zip_derived_cl6,zip_derived_cl13,zip_derived_cl236,zip_derived_cl19973,zip_derived_cl644,zip_derived_cl7,zip_derived_cl19966,zip_derived_cl2,zip_derived_cl19972,zip_derived_cl19965,zip_derived_cl19967,zip_derived_cl10,zip_derived_cl8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU770^2 : TPTP v8.1.2. Released v3.7.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3hFCbGFTyb true
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 14:31:34 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.20/0.70 % Total configuration time : 828
% 0.20/0.70 % Estimated wc time : 1656
% 0.20/0.70 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.61/0.82 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.61/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 214.20/28.50 % Solved by lams/40_noforms.sh.
% 214.20/28.50 % done 1692 iterations in 27.638s
% 214.20/28.50 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 214.20/28.50 % SZS output start Refutation
% See solution above
% 214.20/28.50
% 214.20/28.50
% 214.20/28.50 % Terminating...
% 214.20/28.57 % Runner terminated.
% 214.20/28.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------