TSTP Solution File: SEU228+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU228+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uIAB5nwPh3 true
% Computer : n031.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 19:11:25 EDT 2023
% Result : Theorem 0.66s 0.90s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 24
% Syntax : Number of formulae : 82 ( 15 unt; 15 typ; 0 def)
% Number of atoms : 215 ( 52 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 817 ( 82 ~; 113 |; 14 &; 587 @)
% ( 11 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 3 con; 0-4 aty)
% Number of variables : 126 ( 0 ^; 123 !; 3 ?; 126 :)
% Comments :
%------------------------------------------------------------------------------
thf(apply_type,type,
apply: $i > $i > $i ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(function_type,type,
function: $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(relation_inverse_image_type,type,
relation_inverse_image: $i > $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i > $i > $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(relation_image_type,type,
relation_image: $i > $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(t145_funct_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( subset @ ( relation_image @ B @ ( relation_inverse_image @ B @ A ) ) @ A ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( relation_image @ X0 @ ( relation_inverse_image @ X0 @ X1 ) ) @ X1 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t145_funct_1]) ).
thf(d10_xboole_0,axiom,
! [A: $i,B: $i] :
( ( A = B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ~ ( subset @ X0 @ ( relation_image @ X1 @ ( relation_inverse_image @ X1 @ X0 ) ) )
| ( X0
= ( relation_image @ X1 @ ( relation_inverse_image @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl4]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk__4 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(t147_funct_1,conjecture,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( subset @ A @ ( relation_rng @ B ) )
=> ( ( relation_image @ B @ ( relation_inverse_image @ B @ A ) )
= A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( subset @ A @ ( relation_rng @ B ) )
=> ( ( relation_image @ B @ ( relation_inverse_image @ B @ A ) )
= A ) ) ),
inference('cnf.neg',[status(esa)],[t147_funct_1]) ).
thf(zip_derived_cl44,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl47,plain,
subset @ sk__12 @ ( relation_rng @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__4 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl79,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ X1 )
| ~ ( subset @ X0 @ X2 )
| ( in @ ( sk__4 @ X1 @ X0 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl19]) ).
thf(zip_derived_cl86,plain,
! [X0: $i] :
( ( in @ ( sk__4 @ X0 @ sk__12 ) @ ( relation_rng @ sk__13 ) )
| ( subset @ sk__12 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl79]) ).
thf(d5_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i] :
( ( B
= ( relation_rng @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] :
( ( C
= ( apply @ A @ D ) )
& ( in @ D @ ( relation_dom @ A ) ) ) ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( relation_rng @ X0 ) )
| ( X2
= ( apply @ X0 @ ( sk__7 @ X2 @ X0 ) ) )
| ~ ( in @ X2 @ X1 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_funct_1]) ).
thf(zip_derived_cl101,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__12 @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( sk__4 @ X0 @ sk__12 )
= ( apply @ X1 @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ X1 ) ) )
| ( ( relation_rng @ sk__13 )
!= ( relation_rng @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl25]) ).
thf(zip_derived_cl227,plain,
! [X0: $i] :
( ( ( relation_rng @ sk__13 )
!= ( relation_rng @ sk__13 ) )
| ( ( sk__4 @ X0 @ sk__12 )
= ( apply @ sk__13 @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) ) )
| ~ ( function @ sk__13 )
| ( subset @ sk__12 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl101]) ).
thf(zip_derived_cl45,plain,
function @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl231,plain,
! [X0: $i] :
( ( ( relation_rng @ sk__13 )
!= ( relation_rng @ sk__13 ) )
| ( ( sk__4 @ X0 @ sk__12 )
= ( apply @ sk__13 @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) ) )
| ( subset @ sk__12 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl45]) ).
thf(zip_derived_cl232,plain,
! [X0: $i] :
( ( subset @ sk__12 @ X0 )
| ( ( sk__4 @ X0 @ sk__12 )
= ( apply @ sk__13 @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl231]) ).
thf(zip_derived_cl21_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__4 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl232_002,plain,
! [X0: $i] :
( ( subset @ sk__12 @ X0 )
| ( ( sk__4 @ X0 @ sk__12 )
= ( apply @ sk__13 @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl231]) ).
thf(d13_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i,C: $i] :
( ( C
= ( relation_inverse_image @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ ( relation_dom @ A ) )
& ( in @ ( apply @ A @ D ) @ B ) ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2
!= ( relation_inverse_image @ X0 @ X1 ) )
| ( in @ X3 @ X2 )
| ~ ( in @ ( apply @ X0 @ X3 ) @ X1 )
| ~ ( in @ X3 @ ( relation_dom @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d13_funct_1]) ).
thf(zip_derived_cl233,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( sk__4 @ X0 @ sk__12 ) @ X1 )
| ( subset @ sk__12 @ X0 )
| ~ ( relation @ sk__13 )
| ~ ( function @ sk__13 )
| ~ ( in @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) @ ( relation_dom @ sk__13 ) )
| ( in @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) @ X2 )
| ( X2
!= ( relation_inverse_image @ sk__13 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl18]) ).
thf(zip_derived_cl44_003,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45_004,plain,
function @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl236,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( sk__4 @ X0 @ sk__12 ) @ X1 )
| ( subset @ sk__12 @ X0 )
| ~ ( in @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) @ ( relation_dom @ sk__13 ) )
| ( in @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) @ X2 )
| ( X2
!= ( relation_inverse_image @ sk__13 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl233,zip_derived_cl44,zip_derived_cl45]) ).
thf(zip_derived_cl44_005,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl86_006,plain,
! [X0: $i] :
( ( in @ ( sk__4 @ X0 @ sk__12 ) @ ( relation_rng @ sk__13 ) )
| ( subset @ sk__12 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl79]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( relation_rng @ X0 ) )
| ( in @ ( sk__7 @ X2 @ X0 ) @ ( relation_dom @ X0 ) )
| ~ ( in @ X2 @ X1 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_funct_1]) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__12 @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( in @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ X1 ) @ ( relation_dom @ X1 ) )
| ( ( relation_rng @ sk__13 )
!= ( relation_rng @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl26]) ).
thf(zip_derived_cl147,plain,
! [X0: $i] :
( ( ( relation_rng @ sk__13 )
!= ( relation_rng @ sk__13 ) )
| ( in @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) @ ( relation_dom @ sk__13 ) )
| ~ ( function @ sk__13 )
| ( subset @ sk__12 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl102]) ).
thf(zip_derived_cl45_007,plain,
function @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl151,plain,
! [X0: $i] :
( ( ( relation_rng @ sk__13 )
!= ( relation_rng @ sk__13 ) )
| ( in @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) @ ( relation_dom @ sk__13 ) )
| ( subset @ sk__12 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl45]) ).
thf(zip_derived_cl152,plain,
! [X0: $i] :
( ( subset @ sk__12 @ X0 )
| ( in @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) @ ( relation_dom @ sk__13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl151]) ).
thf(zip_derived_cl385,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( relation_inverse_image @ sk__13 @ X1 ) )
| ( in @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) @ X2 )
| ( subset @ sk__12 @ X0 )
| ~ ( in @ ( sk__4 @ X0 @ sk__12 ) @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl236,zip_derived_cl152]) ).
thf(zip_derived_cl386,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__12 @ X0 )
| ( subset @ sk__12 @ X0 )
| ( in @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) @ X1 )
| ( X1
!= ( relation_inverse_image @ sk__13 @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl385]) ).
thf(zip_derived_cl389,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( relation_inverse_image @ sk__13 @ sk__12 ) )
| ( in @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) @ X1 )
| ( subset @ sk__12 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl386]) ).
thf(zip_derived_cl392,plain,
! [X0: $i] :
( ( subset @ sk__12 @ X0 )
| ( in @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) @ ( relation_inverse_image @ sk__13 @ sk__12 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl389]) ).
thf(zip_derived_cl152_008,plain,
! [X0: $i] :
( ( subset @ sk__12 @ X0 )
| ( in @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) @ ( relation_dom @ sk__13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl151]) ).
thf(d12_funct_1,axiom,
! [A: $i] :
( ( ( function @ A )
& ( relation @ A ) )
=> ! [B: $i,C: $i] :
( ( C
= ( relation_image @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i] :
( ( in @ E @ ( relation_dom @ A ) )
& ( in @ E @ B )
& ( D
= ( apply @ A @ E ) ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [E: $i,D: $i,B: $i,A: $i] :
( ( zip_tseitin_0 @ E @ D @ B @ A )
<=> ( ( D
= ( apply @ A @ E ) )
& ( in @ E @ B )
& ( in @ E @ ( relation_dom @ A ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 )
| ~ ( in @ X0 @ ( relation_dom @ X3 ) )
| ~ ( in @ X0 @ X2 )
| ( X1
!= ( apply @ X3 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_2,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i,C: $i] :
( ( C
= ( relation_image @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i] : ( zip_tseitin_0 @ E @ D @ B @ A ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2
!= ( relation_image @ X0 @ X1 ) )
| ( in @ X3 @ X2 )
| ~ ( zip_tseitin_0 @ X4 @ X3 @ X1 @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2
!= ( apply @ X0 @ X3 ) )
| ~ ( in @ X3 @ X1 )
| ~ ( in @ X3 @ ( relation_dom @ X0 ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( in @ X2 @ X4 )
| ( X4
!= ( relation_image @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl12]) ).
thf(zip_derived_cl157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ sk__12 @ X0 )
| ( X1
!= ( relation_image @ sk__13 @ X2 ) )
| ( in @ X3 @ X1 )
| ~ ( function @ sk__13 )
| ~ ( relation @ sk__13 )
| ~ ( in @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) @ X2 )
| ( X3
!= ( apply @ sk__13 @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl111]) ).
thf(zip_derived_cl45_009,plain,
function @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44_010,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ sk__12 @ X0 )
| ( X1
!= ( relation_image @ sk__13 @ X2 ) )
| ( in @ X3 @ X1 )
| ~ ( in @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) @ X2 )
| ( X3
!= ( apply @ sk__13 @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl45,zip_derived_cl44]) ).
thf(zip_derived_cl402,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ sk__12 @ X0 )
| ( X1
!= ( apply @ sk__13 @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) ) )
| ( in @ X1 @ X2 )
| ( X2
!= ( relation_image @ sk__13 @ ( relation_inverse_image @ sk__13 @ sk__12 ) ) )
| ( subset @ sk__12 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl159]) ).
thf(zip_derived_cl407,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( relation_image @ sk__13 @ ( relation_inverse_image @ sk__13 @ sk__12 ) ) )
| ( in @ X1 @ X2 )
| ( X1
!= ( apply @ sk__13 @ ( sk__7 @ ( sk__4 @ X0 @ sk__12 ) @ sk__13 ) ) )
| ( subset @ sk__12 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl402]) ).
thf(zip_derived_cl441,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( sk__4 @ X0 @ sk__12 ) )
| ( subset @ sk__12 @ X0 )
| ( subset @ sk__12 @ X0 )
| ( in @ X1 @ X2 )
| ( X2
!= ( relation_image @ sk__13 @ ( relation_inverse_image @ sk__13 @ sk__12 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl407]) ).
thf(zip_derived_cl443,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( relation_image @ sk__13 @ ( relation_inverse_image @ sk__13 @ sk__12 ) ) )
| ( in @ X1 @ X2 )
| ( subset @ sk__12 @ X0 )
| ( X1
!= ( sk__4 @ X0 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl441]) ).
thf(zip_derived_cl444,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( sk__4 @ X1 @ sk__12 ) )
| ( subset @ sk__12 @ X1 )
| ( in @ X0 @ ( relation_image @ sk__13 @ ( relation_inverse_image @ sk__13 @ sk__12 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl443]) ).
thf(zip_derived_cl447,plain,
! [X0: $i] :
( ( in @ ( sk__4 @ X0 @ sk__12 ) @ ( relation_image @ sk__13 @ ( relation_inverse_image @ sk__13 @ sk__12 ) ) )
| ( subset @ sk__12 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl444]) ).
thf(zip_derived_cl458,plain,
( ( subset @ sk__12 @ ( relation_image @ sk__13 @ ( relation_inverse_image @ sk__13 @ sk__12 ) ) )
| ( subset @ sk__12 @ ( relation_image @ sk__13 @ ( relation_inverse_image @ sk__13 @ sk__12 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl447]) ).
thf(zip_derived_cl459,plain,
subset @ sk__12 @ ( relation_image @ sk__13 @ ( relation_inverse_image @ sk__13 @ sk__12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl458]) ).
thf(zip_derived_cl465,plain,
( ( sk__12
= ( relation_image @ sk__13 @ ( relation_inverse_image @ sk__13 @ sk__12 ) ) )
| ~ ( function @ sk__13 )
| ~ ( relation @ sk__13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl459]) ).
thf(zip_derived_cl45_011,plain,
function @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44_012,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl466,plain,
( sk__12
= ( relation_image @ sk__13 @ ( relation_inverse_image @ sk__13 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl465,zip_derived_cl45,zip_derived_cl44]) ).
thf(zip_derived_cl46,plain,
( ( relation_image @ sk__13 @ ( relation_inverse_image @ sk__13 @ sk__12 ) )
!= sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl467,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl466,zip_derived_cl46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SEU228+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uIAB5nwPh3 true
% 0.14/0.36 % Computer : n031.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 22:55:20 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.21/0.37 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.65/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.65/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.65/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.65/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.66/0.90 % Solved by fo/fo4.sh.
% 0.66/0.90 % done 210 iterations in 0.101s
% 0.66/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.66/0.90 % SZS output start Refutation
% See solution above
% 0.66/0.90
% 0.66/0.90
% 0.66/0.91 % Terminating...
% 1.24/0.98 % Runner terminated.
% 1.24/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------