TSTP Solution File: SEU055+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU055+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RIq6TvMLG0 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 19:10:20 EDT 2023
% Result : Theorem 1.63s 0.85s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 18
% Syntax : Number of formulae : 93 ( 48 unt; 13 typ; 0 def)
% Number of atoms : 148 ( 59 equ; 0 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 727 ( 54 ~; 52 |; 6 &; 605 @)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 59 ( 0 ^; 59 !; 0 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
thf(singleton_type,type,
singleton: $i > $i ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(function_type,type,
function: $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(relation_image_type,type,
relation_image: $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(one_to_one_type,type,
one_to_one: $i > $o ).
thf(sk__type,type,
sk_: $i > $i ).
thf(t20_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( ( set_difference @ ( singleton @ A ) @ ( singleton @ B ) )
= ( singleton @ A ) )
<=> ( A != B ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ( ( set_difference @ ( singleton @ X0 ) @ ( singleton @ X1 ) )
= ( singleton @ X0 ) )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[t20_zfmisc_1]) ).
thf(t124_funct_1,conjecture,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ! [B: $i,C: $i] :
( ( relation_image @ A @ ( set_difference @ B @ C ) )
= ( set_difference @ ( relation_image @ A @ B ) @ ( relation_image @ A @ C ) ) )
=> ( one_to_one @ A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ! [B: $i,C: $i] :
( ( relation_image @ A @ ( set_difference @ B @ C ) )
= ( set_difference @ ( relation_image @ A @ B ) @ ( relation_image @ A @ C ) ) )
=> ( one_to_one @ A ) ) ),
inference('cnf.neg',[status(esa)],[t124_funct_1]) ).
thf(zip_derived_cl29,plain,
function @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d8_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( one_to_one @ A )
<=> ! [B: $i,C: $i] :
( ( ( in @ B @ ( relation_dom @ A ) )
& ( in @ C @ ( relation_dom @ A ) )
& ( ( apply @ A @ B )
= ( apply @ A @ C ) ) )
=> ( B = C ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( ( apply @ X0 @ ( sk_ @ X0 ) )
= ( apply @ X0 @ ( sk__1 @ X0 ) ) )
| ( one_to_one @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_funct_1]) ).
thf(zip_derived_cl67,plain,
( ~ ( relation @ sk__7 )
| ( one_to_one @ sk__7 )
| ( ( apply @ sk__7 @ ( sk_ @ sk__7 ) )
= ( apply @ sk__7 @ ( sk__1 @ sk__7 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl6]) ).
thf(zip_derived_cl28,plain,
relation @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30,plain,
~ ( one_to_one @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl72,plain,
( ( apply @ sk__7 @ ( sk_ @ sk__7 ) )
= ( apply @ sk__7 @ ( sk__1 @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl28,zip_derived_cl30]) ).
thf(t117_funct_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( in @ A @ ( relation_dom @ B ) )
=> ( ( relation_image @ B @ ( singleton @ A ) )
= ( singleton @ ( apply @ B @ A ) ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ ( relation_dom @ X1 ) )
| ( ( relation_image @ X1 @ ( singleton @ X0 ) )
= ( singleton @ ( apply @ X1 @ X0 ) ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t117_funct_1]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ( relation_image @ sk__7 @ ( set_difference @ X0 @ X1 ) )
= ( set_difference @ ( relation_image @ sk__7 @ X0 ) @ ( relation_image @ sk__7 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl98,plain,
! [X0: $i,X1: $i] :
( ( ( relation_image @ sk__7 @ ( set_difference @ X1 @ ( singleton @ X0 ) ) )
= ( set_difference @ ( relation_image @ sk__7 @ X1 ) @ ( singleton @ ( apply @ sk__7 @ X0 ) ) ) )
| ~ ( relation @ sk__7 )
| ~ ( function @ sk__7 )
| ~ ( in @ X0 @ ( relation_dom @ sk__7 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl31]) ).
thf(zip_derived_cl28_001,plain,
relation @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29_002,plain,
function @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100,plain,
! [X0: $i,X1: $i] :
( ( ( relation_image @ sk__7 @ ( set_difference @ X1 @ ( singleton @ X0 ) ) )
= ( set_difference @ ( relation_image @ sk__7 @ X1 ) @ ( singleton @ ( apply @ sk__7 @ X0 ) ) ) )
| ~ ( in @ X0 @ ( relation_dom @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl28,zip_derived_cl29]) ).
thf(zip_derived_cl113,plain,
! [X0: $i] :
( ( ( relation_image @ sk__7 @ ( set_difference @ X0 @ ( singleton @ ( sk_ @ sk__7 ) ) ) )
= ( set_difference @ ( relation_image @ sk__7 @ X0 ) @ ( singleton @ ( apply @ sk__7 @ ( sk__1 @ sk__7 ) ) ) ) )
| ~ ( in @ ( sk_ @ sk__7 ) @ ( relation_dom @ sk__7 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl72,zip_derived_cl100]) ).
thf(zip_derived_cl29_003,plain,
function @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( in @ ( sk_ @ X0 ) @ ( relation_dom @ X0 ) )
| ( one_to_one @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_funct_1]) ).
thf(zip_derived_cl78,plain,
( ~ ( relation @ sk__7 )
| ( one_to_one @ sk__7 )
| ( in @ ( sk_ @ sk__7 ) @ ( relation_dom @ sk__7 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl8]) ).
thf(zip_derived_cl28_004,plain,
relation @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30_005,plain,
~ ( one_to_one @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83,plain,
in @ ( sk_ @ sk__7 ) @ ( relation_dom @ sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl28,zip_derived_cl30]) ).
thf(zip_derived_cl115,plain,
! [X0: $i] :
( ( relation_image @ sk__7 @ ( set_difference @ X0 @ ( singleton @ ( sk_ @ sk__7 ) ) ) )
= ( set_difference @ ( relation_image @ sk__7 @ X0 ) @ ( singleton @ ( apply @ sk__7 @ ( sk__1 @ sk__7 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl83]) ).
thf(zip_derived_cl100_006,plain,
! [X0: $i,X1: $i] :
( ( ( relation_image @ sk__7 @ ( set_difference @ X1 @ ( singleton @ X0 ) ) )
= ( set_difference @ ( relation_image @ sk__7 @ X1 ) @ ( singleton @ ( apply @ sk__7 @ X0 ) ) ) )
| ~ ( in @ X0 @ ( relation_dom @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl28,zip_derived_cl29]) ).
thf(zip_derived_cl131,plain,
! [X0: $i] :
( ( ( relation_image @ sk__7 @ ( set_difference @ X0 @ ( singleton @ ( sk__1 @ sk__7 ) ) ) )
= ( relation_image @ sk__7 @ ( set_difference @ X0 @ ( singleton @ ( sk_ @ sk__7 ) ) ) ) )
| ~ ( in @ ( sk__1 @ sk__7 ) @ ( relation_dom @ sk__7 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl115,zip_derived_cl100]) ).
thf(zip_derived_cl29_007,plain,
function @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ ( relation_dom @ X0 ) )
| ( one_to_one @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_funct_1]) ).
thf(zip_derived_cl57,plain,
( ~ ( relation @ sk__7 )
| ( one_to_one @ sk__7 )
| ( in @ ( sk__1 @ sk__7 ) @ ( relation_dom @ sk__7 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl7]) ).
thf(zip_derived_cl28_008,plain,
relation @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30_009,plain,
~ ( one_to_one @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62,plain,
in @ ( sk__1 @ sk__7 ) @ ( relation_dom @ sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl28,zip_derived_cl30]) ).
thf(zip_derived_cl134,plain,
! [X0: $i] :
( ( relation_image @ sk__7 @ ( set_difference @ X0 @ ( singleton @ ( sk__1 @ sk__7 ) ) ) )
= ( relation_image @ sk__7 @ ( set_difference @ X0 @ ( singleton @ ( sk_ @ sk__7 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl62]) ).
thf(zip_derived_cl143,plain,
! [X0: $i] :
( ( ( relation_image @ sk__7 @ ( set_difference @ ( singleton @ X0 ) @ ( singleton @ ( sk__1 @ sk__7 ) ) ) )
= ( relation_image @ sk__7 @ ( singleton @ X0 ) ) )
| ( X0
= ( sk_ @ sk__7 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl134]) ).
thf(t3_boole,axiom,
! [A: $i] :
( ( set_difference @ A @ empty_set )
= A ) ).
thf(zip_derived_cl26,plain,
! [X0: $i] :
( ( set_difference @ X0 @ empty_set )
= X0 ),
inference(cnf,[status(esa)],[t3_boole]) ).
thf(zip_derived_cl72_010,plain,
( ( apply @ sk__7 @ ( sk_ @ sk__7 ) )
= ( apply @ sk__7 @ ( sk__1 @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl28,zip_derived_cl30]) ).
thf(zip_derived_cl23_011,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ ( relation_dom @ X1 ) )
| ( ( relation_image @ X1 @ ( singleton @ X0 ) )
= ( singleton @ ( apply @ X1 @ X0 ) ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t117_funct_1]) ).
thf(zip_derived_cl31_012,plain,
! [X0: $i,X1: $i] :
( ( relation_image @ sk__7 @ ( set_difference @ X0 @ X1 ) )
= ( set_difference @ ( relation_image @ sk__7 @ X0 ) @ ( relation_image @ sk__7 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl99,plain,
! [X0: $i,X1: $i] :
( ( ( relation_image @ sk__7 @ ( set_difference @ ( singleton @ X0 ) @ X1 ) )
= ( set_difference @ ( singleton @ ( apply @ sk__7 @ X0 ) ) @ ( relation_image @ sk__7 @ X1 ) ) )
| ~ ( relation @ sk__7 )
| ~ ( function @ sk__7 )
| ~ ( in @ X0 @ ( relation_dom @ sk__7 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl31]) ).
thf(zip_derived_cl28_013,plain,
relation @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29_014,plain,
function @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101,plain,
! [X0: $i,X1: $i] :
( ( ( relation_image @ sk__7 @ ( set_difference @ ( singleton @ X0 ) @ X1 ) )
= ( set_difference @ ( singleton @ ( apply @ sk__7 @ X0 ) ) @ ( relation_image @ sk__7 @ X1 ) ) )
| ~ ( in @ X0 @ ( relation_dom @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl28,zip_derived_cl29]) ).
thf(zip_derived_cl124,plain,
! [X0: $i] :
( ( ( relation_image @ sk__7 @ ( set_difference @ ( singleton @ ( sk_ @ sk__7 ) ) @ X0 ) )
= ( set_difference @ ( singleton @ ( apply @ sk__7 @ ( sk__1 @ sk__7 ) ) ) @ ( relation_image @ sk__7 @ X0 ) ) )
| ~ ( in @ ( sk_ @ sk__7 ) @ ( relation_dom @ sk__7 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl72,zip_derived_cl101]) ).
thf(zip_derived_cl83_015,plain,
in @ ( sk_ @ sk__7 ) @ ( relation_dom @ sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl28,zip_derived_cl30]) ).
thf(zip_derived_cl126,plain,
! [X0: $i] :
( ( relation_image @ sk__7 @ ( set_difference @ ( singleton @ ( sk_ @ sk__7 ) ) @ X0 ) )
= ( set_difference @ ( singleton @ ( apply @ sk__7 @ ( sk__1 @ sk__7 ) ) ) @ ( relation_image @ sk__7 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl83]) ).
thf(zip_derived_cl101_016,plain,
! [X0: $i,X1: $i] :
( ( ( relation_image @ sk__7 @ ( set_difference @ ( singleton @ X0 ) @ X1 ) )
= ( set_difference @ ( singleton @ ( apply @ sk__7 @ X0 ) ) @ ( relation_image @ sk__7 @ X1 ) ) )
| ~ ( in @ X0 @ ( relation_dom @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl28,zip_derived_cl29]) ).
thf(zip_derived_cl152,plain,
! [X0: $i] :
( ( ( relation_image @ sk__7 @ ( set_difference @ ( singleton @ ( sk__1 @ sk__7 ) ) @ X0 ) )
= ( relation_image @ sk__7 @ ( set_difference @ ( singleton @ ( sk_ @ sk__7 ) ) @ X0 ) ) )
| ~ ( in @ ( sk__1 @ sk__7 ) @ ( relation_dom @ sk__7 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl126,zip_derived_cl101]) ).
thf(zip_derived_cl62_017,plain,
in @ ( sk__1 @ sk__7 ) @ ( relation_dom @ sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl28,zip_derived_cl30]) ).
thf(zip_derived_cl157,plain,
! [X0: $i] :
( ( relation_image @ sk__7 @ ( set_difference @ ( singleton @ ( sk__1 @ sk__7 ) ) @ X0 ) )
= ( relation_image @ sk__7 @ ( set_difference @ ( singleton @ ( sk_ @ sk__7 ) ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl62]) ).
thf(zip_derived_cl167,plain,
( ( relation_image @ sk__7 @ ( set_difference @ ( singleton @ ( sk__1 @ sk__7 ) ) @ empty_set ) )
= ( relation_image @ sk__7 @ ( singleton @ ( sk_ @ sk__7 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl157]) ).
thf(zip_derived_cl26_018,plain,
! [X0: $i] :
( ( set_difference @ X0 @ empty_set )
= X0 ),
inference(cnf,[status(esa)],[t3_boole]) ).
thf(zip_derived_cl169,plain,
( ( relation_image @ sk__7 @ ( singleton @ ( sk__1 @ sk__7 ) ) )
= ( relation_image @ sk__7 @ ( singleton @ ( sk_ @ sk__7 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl26]) ).
thf(zip_derived_cl23_019,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ ( relation_dom @ X1 ) )
| ( ( relation_image @ X1 @ ( singleton @ X0 ) )
= ( singleton @ ( apply @ X1 @ X0 ) ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t117_funct_1]) ).
thf(zip_derived_cl181,plain,
( ( ( relation_image @ sk__7 @ ( singleton @ ( sk__1 @ sk__7 ) ) )
= ( singleton @ ( apply @ sk__7 @ ( sk_ @ sk__7 ) ) ) )
| ~ ( relation @ sk__7 )
| ~ ( function @ sk__7 )
| ~ ( in @ ( sk_ @ sk__7 ) @ ( relation_dom @ sk__7 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl169,zip_derived_cl23]) ).
thf(zip_derived_cl72_020,plain,
( ( apply @ sk__7 @ ( sk_ @ sk__7 ) )
= ( apply @ sk__7 @ ( sk__1 @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl28,zip_derived_cl30]) ).
thf(zip_derived_cl28_021,plain,
relation @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29_022,plain,
function @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_023,plain,
in @ ( sk_ @ sk__7 ) @ ( relation_dom @ sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl28,zip_derived_cl30]) ).
thf(zip_derived_cl186,plain,
( ( relation_image @ sk__7 @ ( singleton @ ( sk__1 @ sk__7 ) ) )
= ( singleton @ ( apply @ sk__7 @ ( sk__1 @ sk__7 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl72,zip_derived_cl28,zip_derived_cl29,zip_derived_cl83]) ).
thf(zip_derived_cl115_024,plain,
! [X0: $i] :
( ( relation_image @ sk__7 @ ( set_difference @ X0 @ ( singleton @ ( sk_ @ sk__7 ) ) ) )
= ( set_difference @ ( relation_image @ sk__7 @ X0 ) @ ( singleton @ ( apply @ sk__7 @ ( sk__1 @ sk__7 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl83]) ).
thf(zip_derived_cl134_025,plain,
! [X0: $i] :
( ( relation_image @ sk__7 @ ( set_difference @ X0 @ ( singleton @ ( sk__1 @ sk__7 ) ) ) )
= ( relation_image @ sk__7 @ ( set_difference @ X0 @ ( singleton @ ( sk_ @ sk__7 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl62]) ).
thf(zip_derived_cl135,plain,
! [X0: $i] :
( ( relation_image @ sk__7 @ ( set_difference @ X0 @ ( singleton @ ( sk__1 @ sk__7 ) ) ) )
= ( set_difference @ ( relation_image @ sk__7 @ X0 ) @ ( singleton @ ( apply @ sk__7 @ ( sk__1 @ sk__7 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl134]) ).
thf(zip_derived_cl278,plain,
( ( relation_image @ sk__7 @ ( set_difference @ ( singleton @ ( sk__1 @ sk__7 ) ) @ ( singleton @ ( sk__1 @ sk__7 ) ) ) )
= ( set_difference @ ( singleton @ ( apply @ sk__7 @ ( sk__1 @ sk__7 ) ) ) @ ( singleton @ ( apply @ sk__7 @ ( sk__1 @ sk__7 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl186,zip_derived_cl135]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ( X1 != X0 )
| ( ( set_difference @ ( singleton @ X1 ) @ ( singleton @ X0 ) )
!= ( singleton @ X1 ) ) ),
inference(cnf,[status(esa)],[t20_zfmisc_1]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ( set_difference @ ( singleton @ X0 ) @ ( singleton @ X0 ) )
!= ( singleton @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl318,plain,
( ( relation_image @ sk__7 @ ( set_difference @ ( singleton @ ( sk__1 @ sk__7 ) ) @ ( singleton @ ( sk__1 @ sk__7 ) ) ) )
!= ( singleton @ ( apply @ sk__7 @ ( sk__1 @ sk__7 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl278,zip_derived_cl32]) ).
thf(zip_derived_cl379,plain,
( ( ( relation_image @ sk__7 @ ( singleton @ ( sk__1 @ sk__7 ) ) )
!= ( singleton @ ( apply @ sk__7 @ ( sk__1 @ sk__7 ) ) ) )
| ( ( sk__1 @ sk__7 )
= ( sk_ @ sk__7 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl318]) ).
thf(zip_derived_cl186_026,plain,
( ( relation_image @ sk__7 @ ( singleton @ ( sk__1 @ sk__7 ) ) )
= ( singleton @ ( apply @ sk__7 @ ( sk__1 @ sk__7 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl72,zip_derived_cl28,zip_derived_cl29,zip_derived_cl83]) ).
thf(zip_derived_cl404,plain,
( ( ( singleton @ ( apply @ sk__7 @ ( sk__1 @ sk__7 ) ) )
!= ( singleton @ ( apply @ sk__7 @ ( sk__1 @ sk__7 ) ) ) )
| ( ( sk__1 @ sk__7 )
= ( sk_ @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl379,zip_derived_cl186]) ).
thf(zip_derived_cl405,plain,
( ( sk__1 @ sk__7 )
= ( sk_ @ sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl404]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( ( sk_ @ X0 )
!= ( sk__1 @ X0 ) )
| ( one_to_one @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_funct_1]) ).
thf(zip_derived_cl414,plain,
( ( ( sk__1 @ sk__7 )
!= ( sk__1 @ sk__7 ) )
| ~ ( relation @ sk__7 )
| ~ ( function @ sk__7 )
| ( one_to_one @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl5]) ).
thf(zip_derived_cl28_027,plain,
relation @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29_028,plain,
function @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30_029,plain,
~ ( one_to_one @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl415,plain,
( ( sk__1 @ sk__7 )
!= ( sk__1 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl414,zip_derived_cl28,zip_derived_cl29,zip_derived_cl30]) ).
thf(zip_derived_cl416,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl415]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU055+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RIq6TvMLG0 true
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 21:02:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.63/0.85 % Solved by fo/fo4.sh.
% 1.63/0.85 % done 110 iterations in 0.081s
% 1.63/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.63/0.85 % SZS output start Refutation
% See solution above
% 1.63/0.85
% 1.63/0.85
% 1.63/0.85 % Terminating...
% 1.63/0.94 % Runner terminated.
% 1.63/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------