TSTP Solution File: SEU181+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU181+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FYqfXQAwWB true
% Computer : n009.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 19:11:03 EDT 2023
% Result : Theorem 103.44s 15.48s
% Output : Refutation 103.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 19
% Syntax : Number of formulae : 154 ( 30 unt; 13 typ; 0 def)
% Number of atoms : 423 ( 146 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 1859 ( 167 ~; 266 |; 2 &;1410 @)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 2 con; 0-2 aty)
% Number of variables : 153 ( 0 ^; 151 !; 2 ?; 153 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(relation_inverse_type,type,
relation_inverse: $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(involutiveness_k4_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( relation_inverse @ ( relation_inverse @ A ) )
= A ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( ( relation_inverse @ ( relation_inverse @ X0 ) )
= X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[involutiveness_k4_relat_1]) ).
thf(zip_derived_cl13_001,plain,
! [X0: $i] :
( ( ( relation_inverse @ ( relation_inverse @ X0 ) )
= X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[involutiveness_k4_relat_1]) ).
thf(zip_derived_cl13_002,plain,
! [X0: $i] :
( ( ( relation_inverse @ ( relation_inverse @ X0 ) )
= X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[involutiveness_k4_relat_1]) ).
thf(dt_k4_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ( relation @ ( relation_inverse @ A ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( relation @ ( relation_inverse @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k4_relat_1]) ).
thf(zip_derived_cl13_003,plain,
! [X0: $i] :
( ( ( relation_inverse @ ( relation_inverse @ X0 ) )
= X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[involutiveness_k4_relat_1]) ).
thf(t37_relat_1,conjecture,
! [A: $i] :
( ( relation @ A )
=> ( ( ( relation_rng @ A )
= ( relation_dom @ ( relation_inverse @ A ) ) )
& ( ( relation_dom @ A )
= ( relation_rng @ ( relation_inverse @ A ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( relation @ A )
=> ( ( ( relation_rng @ A )
= ( relation_dom @ ( relation_inverse @ A ) ) )
& ( ( relation_dom @ A )
= ( relation_rng @ ( relation_inverse @ A ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t37_relat_1]) ).
thf(zip_derived_cl16,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13_004,plain,
! [X0: $i] :
( ( ( relation_inverse @ ( relation_inverse @ X0 ) )
= X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[involutiveness_k4_relat_1]) ).
thf(zip_derived_cl12_005,plain,
! [X0: $i] :
( ( relation @ ( relation_inverse @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k4_relat_1]) ).
thf(zip_derived_cl12_006,plain,
! [X0: $i] :
( ( relation @ ( relation_inverse @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k4_relat_1]) ).
thf(zip_derived_cl13_007,plain,
! [X0: $i] :
( ( ( relation_inverse @ ( relation_inverse @ X0 ) )
= X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[involutiveness_k4_relat_1]) ).
thf(zip_derived_cl12_008,plain,
! [X0: $i] :
( ( relation @ ( relation_inverse @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k4_relat_1]) ).
thf(zip_derived_cl16_009,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d5_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( B
= ( relation_rng @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] : ( in @ ( ordered_pair @ D @ C ) @ A ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__3 @ X0 @ X1 ) @ X0 )
| ( in @ ( ordered_pair @ ( sk__4 @ X0 @ X1 ) @ ( sk__3 @ X0 @ X1 ) ) @ X1 )
| ( X0
= ( relation_rng @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d5_relat_1]) ).
thf(zip_derived_cl30,plain,
! [X0: $i] :
( ( X0
= ( relation_rng @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__4 @ X0 @ sk__9 ) @ ( sk__3 @ X0 @ sk__9 ) ) @ sk__9 )
| ( in @ ( sk__3 @ X0 @ sk__9 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl4]) ).
thf(d7_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( relation @ B )
=> ( ( B
= ( relation_inverse @ A ) )
<=> ! [C: $i,D: $i] :
( ( in @ ( ordered_pair @ C @ D ) @ B )
<=> ( in @ ( ordered_pair @ D @ C ) @ A ) ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ( X0
!= ( relation_inverse @ X1 ) )
| ( in @ ( ordered_pair @ X2 @ X3 ) @ X1 )
| ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d7_relat_1]) ).
thf(zip_derived_cl114,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__3 @ X0 @ sk__9 ) @ X0 )
| ( X0
= ( relation_rng @ sk__9 ) )
| ~ ( relation @ X1 )
| ( in @ ( ordered_pair @ ( sk__3 @ X0 @ sk__9 ) @ ( sk__4 @ X0 @ sk__9 ) ) @ X1 )
| ( sk__9
!= ( relation_inverse @ X1 ) )
| ~ ( relation @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl9]) ).
thf(zip_derived_cl16_010,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl119,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__3 @ X0 @ sk__9 ) @ X0 )
| ( X0
= ( relation_rng @ sk__9 ) )
| ~ ( relation @ X1 )
| ( in @ ( ordered_pair @ ( sk__3 @ X0 @ sk__9 ) @ ( sk__4 @ X0 @ sk__9 ) ) @ X1 )
| ( sk__9
!= ( relation_inverse @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl16]) ).
thf(zip_derived_cl180,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( sk__9
!= ( relation_inverse @ ( relation_inverse @ X0 ) ) )
| ( in @ ( ordered_pair @ ( sk__3 @ X1 @ sk__9 ) @ ( sk__4 @ X1 @ sk__9 ) ) @ ( relation_inverse @ X0 ) )
| ( X1
= ( relation_rng @ sk__9 ) )
| ( in @ ( sk__3 @ X1 @ sk__9 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl119]) ).
thf(zip_derived_cl307,plain,
! [X0: $i,X1: $i] :
( ( sk__9 != X0 )
| ~ ( relation @ X0 )
| ( in @ ( sk__3 @ X1 @ sk__9 ) @ X1 )
| ( X1
= ( relation_rng @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__3 @ X1 @ sk__9 ) @ ( sk__4 @ X1 @ sk__9 ) ) @ ( relation_inverse @ X0 ) )
| ~ ( relation @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl180]) ).
thf(zip_derived_cl309,plain,
! [X0: $i,X1: $i] :
( ( in @ ( ordered_pair @ ( sk__3 @ X1 @ sk__9 ) @ ( sk__4 @ X1 @ sk__9 ) ) @ ( relation_inverse @ X0 ) )
| ( X1
= ( relation_rng @ sk__9 ) )
| ( in @ ( sk__3 @ X1 @ sk__9 ) @ X1 )
| ~ ( relation @ X0 )
| ( sk__9 != X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl307]) ).
thf(zip_derived_cl310,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( sk__9
!= ( relation_inverse @ X0 ) )
| ( in @ ( sk__3 @ X1 @ sk__9 ) @ X1 )
| ( X1
= ( relation_rng @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__3 @ X1 @ sk__9 ) @ ( sk__4 @ X1 @ sk__9 ) ) @ ( relation_inverse @ ( relation_inverse @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl309]) ).
thf(zip_derived_cl441,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( in @ ( ordered_pair @ ( sk__3 @ X1 @ sk__9 ) @ ( sk__4 @ X1 @ sk__9 ) ) @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ X0 ) ) ) )
| ( X1
= ( relation_rng @ sk__9 ) )
| ( in @ ( sk__3 @ X1 @ sk__9 ) @ X1 )
| ( sk__9
!= ( relation_inverse @ ( relation_inverse @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl310]) ).
thf(zip_derived_cl805,plain,
! [X0: $i,X1: $i] :
( ( sk__9 != X0 )
| ~ ( relation @ X0 )
| ( in @ ( sk__3 @ X1 @ sk__9 ) @ X1 )
| ( X1
= ( relation_rng @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__3 @ X1 @ sk__9 ) @ ( sk__4 @ X1 @ sk__9 ) ) @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ X0 ) ) ) )
| ~ ( relation @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl441]) ).
thf(zip_derived_cl807,plain,
! [X0: $i,X1: $i] :
( ( in @ ( ordered_pair @ ( sk__3 @ X1 @ sk__9 ) @ ( sk__4 @ X1 @ sk__9 ) ) @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ X0 ) ) ) )
| ( X1
= ( relation_rng @ sk__9 ) )
| ( in @ ( sk__3 @ X1 @ sk__9 ) @ X1 )
| ~ ( relation @ X0 )
| ( sk__9 != X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl805]) ).
thf(zip_derived_cl810,plain,
! [X0: $i] :
( ( sk__9 != sk__9 )
| ( in @ ( sk__3 @ X0 @ sk__9 ) @ X0 )
| ( X0
= ( relation_rng @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__3 @ X0 @ sk__9 ) @ ( sk__4 @ X0 @ sk__9 ) ) @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ sk__9 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl807]) ).
thf(zip_derived_cl811,plain,
! [X0: $i] :
( ( in @ ( ordered_pair @ ( sk__3 @ X0 @ sk__9 ) @ ( sk__4 @ X0 @ sk__9 ) ) @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ sk__9 ) ) ) )
| ( X0
= ( relation_rng @ sk__9 ) )
| ( in @ ( sk__3 @ X0 @ sk__9 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl810]) ).
thf(d4_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( B
= ( relation_dom @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] : ( in @ ( ordered_pair @ C @ D ) @ A ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( relation_dom @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_relat_1]) ).
thf(zip_derived_cl8394,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__3 @ X0 @ sk__9 ) @ X0 )
| ( X0
= ( relation_rng @ sk__9 ) )
| ~ ( relation @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ sk__9 ) ) ) )
| ( in @ ( sk__3 @ X0 @ sk__9 ) @ X1 )
| ( X1
!= ( relation_dom @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ sk__9 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl811,zip_derived_cl3]) ).
thf(zip_derived_cl8445,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ ( relation_inverse @ sk__9 ) )
| ~ ( relation @ ( relation_inverse @ sk__9 ) )
| ( X0
!= ( relation_dom @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ sk__9 ) ) ) ) )
| ( in @ ( sk__3 @ X1 @ sk__9 ) @ X0 )
| ( X1
= ( relation_rng @ sk__9 ) )
| ( in @ ( sk__3 @ X1 @ sk__9 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl8394]) ).
thf(zip_derived_cl8447,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__3 @ X1 @ sk__9 ) @ X1 )
| ( X1
= ( relation_rng @ sk__9 ) )
| ( in @ ( sk__3 @ X1 @ sk__9 ) @ X0 )
| ( X0
!= ( relation_dom @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ sk__9 ) ) ) ) )
| ~ ( relation @ ( relation_inverse @ sk__9 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8445]) ).
thf(zip_derived_cl8449,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ sk__9 )
| ( X0
!= ( relation_dom @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ sk__9 ) ) ) ) )
| ( in @ ( sk__3 @ X1 @ sk__9 ) @ X0 )
| ( X1
= ( relation_rng @ sk__9 ) )
| ( in @ ( sk__3 @ X1 @ sk__9 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl8447]) ).
thf(zip_derived_cl16_011,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8450,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( relation_dom @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ sk__9 ) ) ) ) )
| ( in @ ( sk__3 @ X1 @ sk__9 ) @ X0 )
| ( X1
= ( relation_rng @ sk__9 ) )
| ( in @ ( sk__3 @ X1 @ sk__9 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl8449,zip_derived_cl16]) ).
thf(zip_derived_cl8453,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 @ sk__9 ) @ X0 )
| ( X0
= ( relation_rng @ sk__9 ) )
| ( in @ ( sk__3 @ X0 @ sk__9 ) @ ( relation_dom @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ sk__9 ) ) ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl8450]) ).
thf(zip_derived_cl8747,plain,
( ( in @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ sk__9 ) ) ) ) @ sk__9 ) @ ( relation_dom @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ sk__9 ) ) ) ) )
| ( ( relation_dom @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ sk__9 ) ) ) )
= ( relation_rng @ sk__9 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl8453]) ).
thf(zip_derived_cl8753,plain,
( ( in @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ sk__9 ) ) ) ) @ sk__9 ) @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) )
| ~ ( relation @ sk__9 )
| ( ( relation_dom @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ sk__9 ) ) ) )
= ( relation_rng @ sk__9 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl8747]) ).
thf(zip_derived_cl16_012,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8756,plain,
( ( in @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ sk__9 ) ) ) ) @ sk__9 ) @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) )
| ( ( relation_dom @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ sk__9 ) ) ) )
= ( relation_rng @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8753,zip_derived_cl16]) ).
thf(zip_derived_cl8761,plain,
( ( in @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) )
| ~ ( relation @ sk__9 )
| ( ( relation_dom @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ sk__9 ) ) ) )
= ( relation_rng @ sk__9 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl8756]) ).
thf(zip_derived_cl16_013,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8762,plain,
( ( in @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) )
| ( ( relation_dom @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ sk__9 ) ) ) )
= ( relation_rng @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8761,zip_derived_cl16]) ).
thf(zip_derived_cl12_014,plain,
! [X0: $i] :
( ( relation @ ( relation_inverse @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k4_relat_1]) ).
thf(zip_derived_cl12_015,plain,
! [X0: $i] :
( ( relation @ ( relation_inverse @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k4_relat_1]) ).
thf(zip_derived_cl12_016,plain,
! [X0: $i] :
( ( relation @ ( relation_inverse @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k4_relat_1]) ).
thf(zip_derived_cl12_017,plain,
! [X0: $i] :
( ( relation @ ( relation_inverse @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k4_relat_1]) ).
thf(zip_derived_cl30_018,plain,
! [X0: $i] :
( ( X0
= ( relation_rng @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__4 @ X0 @ sk__9 ) @ ( sk__3 @ X0 @ sk__9 ) ) @ sk__9 )
| ( in @ ( sk__3 @ X0 @ sk__9 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ( X0
!= ( relation_inverse @ X1 ) )
| ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
| ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d7_relat_1]) ).
thf(zip_derived_cl115,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__3 @ X0 @ sk__9 ) @ X0 )
| ( X0
= ( relation_rng @ sk__9 ) )
| ~ ( relation @ sk__9 )
| ( in @ ( ordered_pair @ ( sk__3 @ X0 @ sk__9 ) @ ( sk__4 @ X0 @ sk__9 ) ) @ X1 )
| ( X1
!= ( relation_inverse @ sk__9 ) )
| ~ ( relation @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl8]) ).
thf(zip_derived_cl16_019,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__3 @ X0 @ sk__9 ) @ X0 )
| ( X0
= ( relation_rng @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__3 @ X0 @ sk__9 ) @ ( sk__4 @ X0 @ sk__9 ) ) @ X1 )
| ( X1
!= ( relation_inverse @ sk__9 ) )
| ~ ( relation @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl16]) ).
thf(zip_derived_cl244,plain,
! [X0: $i] :
( ~ ( relation @ ( relation_inverse @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__3 @ X0 @ sk__9 ) @ ( sk__4 @ X0 @ sk__9 ) ) @ ( relation_inverse @ sk__9 ) )
| ( X0
= ( relation_rng @ sk__9 ) )
| ( in @ ( sk__3 @ X0 @ sk__9 ) @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl120]) ).
thf(zip_derived_cl247,plain,
! [X0: $i] :
( ~ ( relation @ sk__9 )
| ( in @ ( sk__3 @ X0 @ sk__9 ) @ X0 )
| ( X0
= ( relation_rng @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__3 @ X0 @ sk__9 ) @ ( sk__4 @ X0 @ sk__9 ) ) @ ( relation_inverse @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl244]) ).
thf(zip_derived_cl16_020,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl248,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 @ sk__9 ) @ X0 )
| ( X0
= ( relation_rng @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__3 @ X0 @ sk__9 ) @ ( sk__4 @ X0 @ sk__9 ) ) @ ( relation_inverse @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl247,zip_derived_cl16]) ).
thf(zip_derived_cl3_021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( relation_dom @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_relat_1]) ).
thf(zip_derived_cl1596,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( relation_rng @ sk__9 ) )
| ( in @ ( sk__3 @ X0 @ sk__9 ) @ X0 )
| ~ ( relation @ ( relation_inverse @ sk__9 ) )
| ( in @ ( sk__3 @ X0 @ sk__9 ) @ X1 )
| ( X1
!= ( relation_dom @ ( relation_inverse @ sk__9 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl3]) ).
thf(zip_derived_cl1600,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ sk__9 )
| ( X0
!= ( relation_dom @ ( relation_inverse @ sk__9 ) ) )
| ( in @ ( sk__3 @ X1 @ sk__9 ) @ X0 )
| ( in @ ( sk__3 @ X1 @ sk__9 ) @ X1 )
| ( X1
= ( relation_rng @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl1596]) ).
thf(zip_derived_cl16_022,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1601,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( relation_dom @ ( relation_inverse @ sk__9 ) ) )
| ( in @ ( sk__3 @ X1 @ sk__9 ) @ X0 )
| ( in @ ( sk__3 @ X1 @ sk__9 ) @ X1 )
| ( X1
= ( relation_rng @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1600,zip_derived_cl16]) ).
thf(zip_derived_cl1602,plain,
! [X0: $i] :
( ( X0
= ( relation_rng @ sk__9 ) )
| ( in @ ( sk__3 @ X0 @ sk__9 ) @ X0 )
| ( in @ ( sk__3 @ X0 @ sk__9 ) @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1601]) ).
thf(zip_derived_cl1619,plain,
( ( in @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) )
| ( ( relation_dom @ ( relation_inverse @ sk__9 ) )
= ( relation_rng @ sk__9 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1602]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( relation_dom @ X0 ) )
| ( in @ ( ordered_pair @ X2 @ ( sk__2 @ X2 @ X0 ) ) @ X0 )
| ~ ( in @ X2 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_relat_1]) ).
thf(zip_derived_cl1621,plain,
! [X0: $i] :
( ( ( relation_dom @ ( relation_inverse @ sk__9 ) )
= ( relation_rng @ sk__9 ) )
| ~ ( relation @ X0 )
| ( in @ ( ordered_pair @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( sk__2 @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ X0 ) ) @ X0 )
| ( ( relation_dom @ ( relation_inverse @ sk__9 ) )
!= ( relation_dom @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1619,zip_derived_cl2]) ).
thf(zip_derived_cl4531,plain,
( ( in @ ( ordered_pair @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( sk__2 @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_inverse @ sk__9 ) ) ) @ ( relation_inverse @ sk__9 ) )
| ~ ( relation @ ( relation_inverse @ sk__9 ) )
| ( ( relation_dom @ ( relation_inverse @ sk__9 ) )
= ( relation_rng @ sk__9 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1621]) ).
thf(zip_derived_cl4546,plain,
( ~ ( relation @ sk__9 )
| ( ( relation_dom @ ( relation_inverse @ sk__9 ) )
= ( relation_rng @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( sk__2 @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_inverse @ sk__9 ) ) ) @ ( relation_inverse @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl4531]) ).
thf(zip_derived_cl16_023,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4547,plain,
( ( ( relation_dom @ ( relation_inverse @ sk__9 ) )
= ( relation_rng @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( sk__2 @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_inverse @ sk__9 ) ) ) @ ( relation_inverse @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4546,zip_derived_cl16]) ).
thf(zip_derived_cl9_024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ( X0
!= ( relation_inverse @ X1 ) )
| ( in @ ( ordered_pair @ X2 @ X3 ) @ X1 )
| ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d7_relat_1]) ).
thf(zip_derived_cl4647,plain,
! [X0: $i] :
( ( ( relation_dom @ ( relation_inverse @ sk__9 ) )
= ( relation_rng @ sk__9 ) )
| ~ ( relation @ X0 )
| ( in @ ( ordered_pair @ ( sk__2 @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_inverse @ sk__9 ) ) @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) ) @ X0 )
| ( ( relation_inverse @ sk__9 )
!= ( relation_inverse @ X0 ) )
| ~ ( relation @ ( relation_inverse @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4547,zip_derived_cl9]) ).
thf(zip_derived_cl23077,plain,
! [X0: $i] :
( ~ ( relation @ sk__9 )
| ( ( relation_inverse @ sk__9 )
!= ( relation_inverse @ X0 ) )
| ( in @ ( ordered_pair @ ( sk__2 @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_inverse @ sk__9 ) ) @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) ) @ X0 )
| ~ ( relation @ X0 )
| ( ( relation_dom @ ( relation_inverse @ sk__9 ) )
= ( relation_rng @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl4647]) ).
thf(zip_derived_cl16_025,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23078,plain,
! [X0: $i] :
( ( ( relation_inverse @ sk__9 )
!= ( relation_inverse @ X0 ) )
| ( in @ ( ordered_pair @ ( sk__2 @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_inverse @ sk__9 ) ) @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) ) @ X0 )
| ~ ( relation @ X0 )
| ( ( relation_dom @ ( relation_inverse @ sk__9 ) )
= ( relation_rng @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23077,zip_derived_cl16]) ).
thf(zip_derived_cl17,plain,
( ( ( relation_rng @ sk__9 )
!= ( relation_dom @ ( relation_inverse @ sk__9 ) ) )
| ( ( relation_dom @ sk__9 )
!= ( relation_rng @ ( relation_inverse @ sk__9 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16_026,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_027,plain,
! [X0: $i] :
( ( relation @ ( relation_inverse @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k4_relat_1]) ).
thf(zip_derived_cl12_028,plain,
! [X0: $i] :
( ( relation @ ( relation_inverse @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k4_relat_1]) ).
thf(zip_derived_cl12_029,plain,
! [X0: $i] :
( ( relation @ ( relation_inverse @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k4_relat_1]) ).
thf(zip_derived_cl12_030,plain,
! [X0: $i] :
( ( relation @ ( relation_inverse @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k4_relat_1]) ).
thf(zip_derived_cl16_031,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk_ @ X0 @ X1 ) @ X0 )
| ( in @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ ( sk__1 @ X0 @ X1 ) ) @ X1 )
| ( X0
= ( relation_dom @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_relat_1]) ).
thf(zip_derived_cl23,plain,
! [X0: $i] :
( ( X0
= ( relation_dom @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk_ @ X0 @ sk__9 ) @ ( sk__1 @ X0 @ sk__9 ) ) @ sk__9 )
| ( in @ ( sk_ @ X0 @ sk__9 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl0]) ).
thf(zip_derived_cl8_032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ( X0
!= ( relation_inverse @ X1 ) )
| ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
| ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d7_relat_1]) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk_ @ X0 @ sk__9 ) @ X0 )
| ( X0
= ( relation_dom @ sk__9 ) )
| ~ ( relation @ sk__9 )
| ( in @ ( ordered_pair @ ( sk__1 @ X0 @ sk__9 ) @ ( sk_ @ X0 @ sk__9 ) ) @ X1 )
| ( X1
!= ( relation_inverse @ sk__9 ) )
| ~ ( relation @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl8]) ).
thf(zip_derived_cl16_033,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk_ @ X0 @ sk__9 ) @ X0 )
| ( X0
= ( relation_dom @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__1 @ X0 @ sk__9 ) @ ( sk_ @ X0 @ sk__9 ) ) @ X1 )
| ( X1
!= ( relation_inverse @ sk__9 ) )
| ~ ( relation @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl16]) ).
thf(zip_derived_cl243,plain,
! [X0: $i] :
( ~ ( relation @ ( relation_inverse @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__1 @ X0 @ sk__9 ) @ ( sk_ @ X0 @ sk__9 ) ) @ ( relation_inverse @ sk__9 ) )
| ( X0
= ( relation_dom @ sk__9 ) )
| ( in @ ( sk_ @ X0 @ sk__9 ) @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl245,plain,
! [X0: $i] :
( ~ ( relation @ sk__9 )
| ( in @ ( sk_ @ X0 @ sk__9 ) @ X0 )
| ( X0
= ( relation_dom @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__1 @ X0 @ sk__9 ) @ ( sk_ @ X0 @ sk__9 ) ) @ ( relation_inverse @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl243]) ).
thf(zip_derived_cl16_034,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl246,plain,
! [X0: $i] :
( ( in @ ( sk_ @ X0 @ sk__9 ) @ X0 )
| ( X0
= ( relation_dom @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__1 @ X0 @ sk__9 ) @ ( sk_ @ X0 @ sk__9 ) ) @ ( relation_inverse @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl245,zip_derived_cl16]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( relation_rng @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_relat_1]) ).
thf(zip_derived_cl1501,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( relation_dom @ sk__9 ) )
| ( in @ ( sk_ @ X0 @ sk__9 ) @ X0 )
| ~ ( relation @ ( relation_inverse @ sk__9 ) )
| ( in @ ( sk_ @ X0 @ sk__9 ) @ X1 )
| ( X1
!= ( relation_rng @ ( relation_inverse @ sk__9 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl246,zip_derived_cl7]) ).
thf(zip_derived_cl1510,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ sk__9 )
| ( X0
!= ( relation_rng @ ( relation_inverse @ sk__9 ) ) )
| ( in @ ( sk_ @ X1 @ sk__9 ) @ X0 )
| ( in @ ( sk_ @ X1 @ sk__9 ) @ X1 )
| ( X1
= ( relation_dom @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl1501]) ).
thf(zip_derived_cl16_035,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1511,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( relation_rng @ ( relation_inverse @ sk__9 ) ) )
| ( in @ ( sk_ @ X1 @ sk__9 ) @ X0 )
| ( in @ ( sk_ @ X1 @ sk__9 ) @ X1 )
| ( X1
= ( relation_dom @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1510,zip_derived_cl16]) ).
thf(zip_derived_cl1512,plain,
! [X0: $i] :
( ( X0
= ( relation_dom @ sk__9 ) )
| ( in @ ( sk_ @ X0 @ sk__9 ) @ X0 )
| ( in @ ( sk_ @ X0 @ sk__9 ) @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1511]) ).
thf(zip_derived_cl1549,plain,
( ( in @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) )
| ( ( relation_rng @ ( relation_inverse @ sk__9 ) )
= ( relation_dom @ sk__9 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1512]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( relation_rng @ X0 ) )
| ( in @ ( ordered_pair @ ( sk__5 @ X2 @ X0 ) @ X2 ) @ X0 )
| ~ ( in @ X2 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_relat_1]) ).
thf(zip_derived_cl1552,plain,
! [X0: $i] :
( ( ( relation_rng @ ( relation_inverse @ sk__9 ) )
= ( relation_dom @ sk__9 ) )
| ~ ( relation @ X0 )
| ( in @ ( ordered_pair @ ( sk__5 @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ X0 ) @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) ) @ X0 )
| ( ( relation_rng @ ( relation_inverse @ sk__9 ) )
!= ( relation_rng @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl6]) ).
thf(zip_derived_cl4529,plain,
( ( in @ ( ordered_pair @ ( sk__5 @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_inverse @ sk__9 ) ) @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) ) @ ( relation_inverse @ sk__9 ) )
| ~ ( relation @ ( relation_inverse @ sk__9 ) )
| ( ( relation_rng @ ( relation_inverse @ sk__9 ) )
= ( relation_dom @ sk__9 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1552]) ).
thf(zip_derived_cl4544,plain,
( ~ ( relation @ sk__9 )
| ( ( relation_rng @ ( relation_inverse @ sk__9 ) )
= ( relation_dom @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__5 @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_inverse @ sk__9 ) ) @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) ) @ ( relation_inverse @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl4529]) ).
thf(zip_derived_cl16_036,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4545,plain,
( ( ( relation_rng @ ( relation_inverse @ sk__9 ) )
= ( relation_dom @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__5 @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_inverse @ sk__9 ) ) @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) ) @ ( relation_inverse @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4544,zip_derived_cl16]) ).
thf(zip_derived_cl9_037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ( X0
!= ( relation_inverse @ X1 ) )
| ( in @ ( ordered_pair @ X2 @ X3 ) @ X1 )
| ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d7_relat_1]) ).
thf(zip_derived_cl4593,plain,
! [X0: $i] :
( ( ( relation_rng @ ( relation_inverse @ sk__9 ) )
= ( relation_dom @ sk__9 ) )
| ~ ( relation @ X0 )
| ( in @ ( ordered_pair @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( sk__5 @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_inverse @ sk__9 ) ) ) @ X0 )
| ( ( relation_inverse @ sk__9 )
!= ( relation_inverse @ X0 ) )
| ~ ( relation @ ( relation_inverse @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4545,zip_derived_cl9]) ).
thf(zip_derived_cl23015,plain,
! [X0: $i] :
( ~ ( relation @ sk__9 )
| ( ( relation_inverse @ sk__9 )
!= ( relation_inverse @ X0 ) )
| ( in @ ( ordered_pair @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( sk__5 @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_inverse @ sk__9 ) ) ) @ X0 )
| ~ ( relation @ X0 )
| ( ( relation_rng @ ( relation_inverse @ sk__9 ) )
= ( relation_dom @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl4593]) ).
thf(zip_derived_cl16_038,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23016,plain,
! [X0: $i] :
( ( ( relation_inverse @ sk__9 )
!= ( relation_inverse @ X0 ) )
| ( in @ ( ordered_pair @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( sk__5 @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_inverse @ sk__9 ) ) ) @ X0 )
| ~ ( relation @ X0 )
| ( ( relation_rng @ ( relation_inverse @ sk__9 ) )
= ( relation_dom @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23015,zip_derived_cl16]) ).
thf(zip_derived_cl23019,plain,
( ( ( relation_rng @ ( relation_inverse @ sk__9 ) )
= ( relation_dom @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( sk__5 @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_inverse @ sk__9 ) ) ) @ sk__9 )
| ( ( relation_inverse @ sk__9 )
!= ( relation_inverse @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl23016]) ).
thf(zip_derived_cl23020,plain,
( ( in @ ( ordered_pair @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( sk__5 @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_inverse @ sk__9 ) ) ) @ sk__9 )
| ( ( relation_rng @ ( relation_inverse @ sk__9 ) )
= ( relation_dom @ sk__9 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl23019]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( sk_ @ X0 @ X1 ) @ X0 )
| ~ ( in @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ X2 ) @ X1 )
| ( X0
= ( relation_dom @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_relat_1]) ).
thf(zip_derived_cl23085,plain,
( ( ( relation_rng @ ( relation_inverse @ sk__9 ) )
= ( relation_dom @ sk__9 ) )
| ~ ( relation @ sk__9 )
| ( ( relation_rng @ ( relation_inverse @ sk__9 ) )
= ( relation_dom @ sk__9 ) )
| ~ ( in @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl23020,zip_derived_cl1]) ).
thf(zip_derived_cl16_039,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23090,plain,
( ( ( relation_rng @ ( relation_inverse @ sk__9 ) )
= ( relation_dom @ sk__9 ) )
| ( ( relation_rng @ ( relation_inverse @ sk__9 ) )
= ( relation_dom @ sk__9 ) )
| ~ ( in @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23085,zip_derived_cl16]) ).
thf(zip_derived_cl23091,plain,
( ~ ( in @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) )
| ( ( relation_rng @ ( relation_inverse @ sk__9 ) )
= ( relation_dom @ sk__9 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl23090]) ).
thf(zip_derived_cl1549_040,plain,
( ( in @ ( sk_ @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_rng @ ( relation_inverse @ sk__9 ) ) )
| ( ( relation_rng @ ( relation_inverse @ sk__9 ) )
= ( relation_dom @ sk__9 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1512]) ).
thf(zip_derived_cl23092,plain,
( ( relation_rng @ ( relation_inverse @ sk__9 ) )
= ( relation_dom @ sk__9 ) ),
inference(clc,[status(thm)],[zip_derived_cl23091,zip_derived_cl1549]) ).
thf(zip_derived_cl23093,plain,
( ( ( relation_rng @ sk__9 )
!= ( relation_dom @ ( relation_inverse @ sk__9 ) ) )
| ( ( relation_dom @ sk__9 )
!= ( relation_dom @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl23092]) ).
thf(zip_derived_cl23094,plain,
( ( relation_rng @ sk__9 )
!= ( relation_dom @ ( relation_inverse @ sk__9 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl23093]) ).
thf(zip_derived_cl29428,plain,
! [X0: $i] :
( ( ( relation_inverse @ sk__9 )
!= ( relation_inverse @ X0 ) )
| ( in @ ( ordered_pair @ ( sk__2 @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_inverse @ sk__9 ) ) @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) ) @ X0 )
| ~ ( relation @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23078,zip_derived_cl23094]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( sk__3 @ X0 @ X1 ) @ X0 )
| ~ ( in @ ( ordered_pair @ X2 @ ( sk__3 @ X0 @ X1 ) ) @ X1 )
| ( X0
= ( relation_rng @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d5_relat_1]) ).
thf(zip_derived_cl29435,plain,
( ~ ( relation @ sk__9 )
| ( ( relation_inverse @ sk__9 )
!= ( relation_inverse @ sk__9 ) )
| ~ ( relation @ sk__9 )
| ( ( relation_dom @ ( relation_inverse @ sk__9 ) )
= ( relation_rng @ sk__9 ) )
| ~ ( in @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29428,zip_derived_cl5]) ).
thf(zip_derived_cl16_041,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16_042,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29440,plain,
( ( ( relation_inverse @ sk__9 )
!= ( relation_inverse @ sk__9 ) )
| ( ( relation_dom @ ( relation_inverse @ sk__9 ) )
= ( relation_rng @ sk__9 ) )
| ~ ( in @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29435,zip_derived_cl16,zip_derived_cl16]) ).
thf(zip_derived_cl29441,plain,
( ~ ( in @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) )
| ( ( relation_dom @ ( relation_inverse @ sk__9 ) )
= ( relation_rng @ sk__9 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl29440]) ).
thf(zip_derived_cl23094_043,plain,
( ( relation_rng @ sk__9 )
!= ( relation_dom @ ( relation_inverse @ sk__9 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl23093]) ).
thf(zip_derived_cl29442,plain,
~ ( in @ ( sk__3 @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) @ sk__9 ) @ ( relation_dom @ ( relation_inverse @ sk__9 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29441,zip_derived_cl23094]) ).
thf(zip_derived_cl29451,plain,
( ( relation_dom @ ( relation_inverse @ ( relation_inverse @ ( relation_inverse @ sk__9 ) ) ) )
= ( relation_rng @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8762,zip_derived_cl29442]) ).
thf(zip_derived_cl29625,plain,
( ( ( relation_dom @ ( relation_inverse @ sk__9 ) )
= ( relation_rng @ sk__9 ) )
| ~ ( relation @ sk__9 ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl29451]) ).
thf(zip_derived_cl16_044,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29627,plain,
( ( relation_dom @ ( relation_inverse @ sk__9 ) )
= ( relation_rng @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl29625,zip_derived_cl16]) ).
thf(zip_derived_cl23094_045,plain,
( ( relation_rng @ sk__9 )
!= ( relation_dom @ ( relation_inverse @ sk__9 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl23093]) ).
thf(zip_derived_cl29628,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29627,zip_derived_cl23094]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU181+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FYqfXQAwWB true
% 0.14/0.34 % Computer : n009.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 12:11:51 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 103.44/15.48 % Solved by fo/fo4.sh.
% 103.44/15.48 % done 13404 iterations in 14.682s
% 103.44/15.48 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 103.44/15.48 % SZS output start Refutation
% See solution above
% 103.44/15.48
% 103.44/15.48
% 103.44/15.48 % Terminating...
% 103.90/15.59 % Runner terminated.
% 103.90/15.60 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------