TSTP Solution File: SEU197+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU197+2 : 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.njKVXEJs0e true
% Computer : n026.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 19:11:09 EDT 2023
% Result : Theorem 58.12s 8.92s
% Output : Refutation 58.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 17
% Syntax : Number of formulae : 118 ( 28 unt; 12 typ; 0 def)
% Number of atoms : 308 ( 65 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1256 ( 156 ~; 184 |; 4 &; 898 @)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 135 ( 0 ^; 134 !; 1 ?; 135 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_type,type,
relation: $i > $o ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(relation_rng_restriction_type,type,
relation_rng_restriction: $i > $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i > $i ).
thf(dt_k8_relat_1,axiom,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( relation @ ( relation_rng_restriction @ A @ B ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( relation @ ( relation_rng_restriction @ X0 @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[dt_k8_relat_1]) ).
thf(t115_relat_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( in @ A @ ( relation_rng @ ( relation_rng_restriction @ B @ C ) ) )
<=> ( ( in @ A @ B )
& ( in @ A @ ( relation_rng @ C ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( in @ A @ ( relation_rng @ ( relation_rng_restriction @ B @ C ) ) )
<=> ( ( in @ A @ B )
& ( in @ A @ ( relation_rng @ C ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t115_relat_1]) ).
thf(zip_derived_cl30,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14_001,plain,
! [X0: $i,X1: $i] :
( ( relation @ ( relation_rng_restriction @ X0 @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[dt_k8_relat_1]) ).
thf(zip_derived_cl14_002,plain,
! [X0: $i,X1: $i] :
( ( relation @ ( relation_rng_restriction @ X0 @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[dt_k8_relat_1]) ).
thf(zip_derived_cl32,plain,
( ( in @ sk__7 @ sk__8 )
| ( in @ sk__7 @ ( relation_rng @ ( relation_rng_restriction @ sk__8 @ 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_cl12,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_cl60,plain,
! [X0: $i] :
( ( in @ sk__7 @ sk__8 )
| ~ ( relation @ X0 )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ X0 ) @ sk__7 ) @ X0 )
| ( ( relation_rng @ ( relation_rng_restriction @ sk__8 @ sk__9 ) )
!= ( relation_rng @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl12]) ).
thf(zip_derived_cl226,plain,
( ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) @ sk__7 ) @ ( relation_rng_restriction @ sk__8 @ sk__9 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__8 @ sk__9 ) )
| ( in @ sk__7 @ sk__8 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl255,plain,
( ~ ( relation @ sk__9 )
| ( in @ sk__7 @ sk__8 )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) @ sk__7 ) @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl226]) ).
thf(zip_derived_cl30_003,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl256,plain,
( ( in @ sk__7 @ sk__8 )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) @ sk__7 ) @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl30]) ).
thf(d12_relat_1,axiom,
! [A: $i,B: $i] :
( ( relation @ B )
=> ! [C: $i] :
( ( relation @ C )
=> ( ( C
= ( relation_rng_restriction @ A @ B ) )
<=> ! [D: $i,E: $i] :
( ( in @ ( ordered_pair @ D @ E ) @ C )
<=> ( ( in @ E @ A )
& ( in @ ( ordered_pair @ D @ E ) @ B ) ) ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( relation @ X0 )
| ( X0
!= ( relation_rng_restriction @ X1 @ X2 ) )
| ( in @ X3 @ X1 )
| ~ ( in @ ( ordered_pair @ X4 @ X3 ) @ X0 )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[d12_relat_1]) ).
thf(zip_derived_cl307,plain,
! [X0: $i,X1: $i] :
( ( in @ sk__7 @ sk__8 )
| ~ ( relation @ X0 )
| ( in @ sk__7 @ X1 )
| ( ( relation_rng_restriction @ sk__8 @ sk__9 )
!= ( relation_rng_restriction @ X1 @ X0 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl256,zip_derived_cl3]) ).
thf(zip_derived_cl392,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ sk__9 )
| ( ( relation_rng_restriction @ sk__8 @ sk__9 )
!= ( relation_rng_restriction @ X1 @ X0 ) )
| ( in @ sk__7 @ X1 )
| ~ ( relation @ X0 )
| ( in @ sk__7 @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl307]) ).
thf(zip_derived_cl30_004,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl393,plain,
! [X0: $i,X1: $i] :
( ( ( relation_rng_restriction @ sk__8 @ sk__9 )
!= ( relation_rng_restriction @ X1 @ X0 ) )
| ( in @ sk__7 @ X1 )
| ~ ( relation @ X0 )
| ( in @ sk__7 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl392,zip_derived_cl30]) ).
thf(zip_derived_cl396,plain,
! [X0: $i] :
( ( in @ sk__7 @ sk__8 )
| ( in @ sk__7 @ X0 )
| ( ( relation_rng_restriction @ sk__8 @ sk__9 )
!= ( relation_rng_restriction @ X0 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl393]) ).
thf(zip_derived_cl397,plain,
( ( in @ sk__7 @ sk__8 )
| ( in @ sk__7 @ sk__8 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl396]) ).
thf(zip_derived_cl398,plain,
in @ sk__7 @ sk__8,
inference(simplify,[status(thm)],[zip_derived_cl397]) ).
thf(zip_derived_cl30_005,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( in @ ( ordered_pair @ ( sk_ @ X0 @ X1 @ X2 ) @ ( sk__1 @ X0 @ X1 @ X2 ) ) @ X0 )
| ~ ( in @ ( sk__1 @ X0 @ X1 @ X2 ) @ X2 )
| ~ ( in @ ( ordered_pair @ ( sk_ @ X0 @ X1 @ X2 ) @ ( sk__1 @ X0 @ X1 @ X2 ) ) @ X1 )
| ( X0
= ( relation_rng_restriction @ X2 @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d12_relat_1]) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( X0
= ( relation_rng_restriction @ X1 @ X0 ) )
| ~ ( in @ ( ordered_pair @ ( sk_ @ X0 @ X0 @ X1 ) @ ( sk__1 @ X0 @ X0 @ X1 ) ) @ X0 )
| ~ ( in @ ( sk__1 @ X0 @ X0 @ X1 ) @ X1 )
| ~ ( relation @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__1 @ X0 @ X0 @ X1 ) @ X1 )
| ~ ( in @ ( ordered_pair @ ( sk_ @ X0 @ X0 @ X1 ) @ ( sk__1 @ X0 @ X0 @ X1 ) ) @ X0 )
| ( X0
= ( relation_rng_restriction @ X1 @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl30_006,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30_007,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ( in @ ( ordered_pair @ ( sk_ @ X0 @ X1 @ X2 ) @ ( sk__1 @ X0 @ X1 @ X2 ) ) @ X0 )
| ( in @ ( ordered_pair @ ( sk_ @ X0 @ X1 @ X2 ) @ ( sk__1 @ X0 @ X1 @ X2 ) ) @ X1 )
| ( X0
= ( relation_rng_restriction @ X2 @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d12_relat_1]) ).
thf(zip_derived_cl128,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( sk__9
= ( relation_rng_restriction @ X1 @ X0 ) )
| ( in @ ( ordered_pair @ ( sk_ @ sk__9 @ X0 @ X1 ) @ ( sk__1 @ sk__9 @ X0 @ X1 ) ) @ X0 )
| ( in @ ( ordered_pair @ ( sk_ @ sk__9 @ X0 @ X1 ) @ ( sk__1 @ sk__9 @ X0 @ X1 ) ) @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl5]) ).
thf(zip_derived_cl1203,plain,
! [X0: $i] :
( ( in @ ( ordered_pair @ ( sk_ @ sk__9 @ sk__9 @ X0 ) @ ( sk__1 @ sk__9 @ sk__9 @ X0 ) ) @ sk__9 )
| ( in @ ( ordered_pair @ ( sk_ @ sk__9 @ sk__9 @ X0 ) @ ( sk__1 @ sk__9 @ sk__9 @ X0 ) ) @ sk__9 )
| ( sk__9
= ( relation_rng_restriction @ X0 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl128]) ).
thf(zip_derived_cl1204,plain,
! [X0: $i] :
( ( sk__9
= ( relation_rng_restriction @ X0 @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk_ @ sk__9 @ sk__9 @ X0 ) @ ( sk__1 @ sk__9 @ sk__9 @ X0 ) ) @ sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1203]) ).
thf(zip_derived_cl25925,plain,
! [X0: $i] :
( ~ ( relation @ sk__9 )
| ( sk__9
= ( relation_rng_restriction @ X0 @ sk__9 ) )
| ~ ( in @ ( sk__1 @ sk__9 @ sk__9 @ X0 ) @ X0 )
| ( sk__9
= ( relation_rng_restriction @ X0 @ sk__9 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl74,zip_derived_cl1204]) ).
thf(zip_derived_cl30_008,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25930,plain,
! [X0: $i] :
( ( sk__9
= ( relation_rng_restriction @ X0 @ sk__9 ) )
| ~ ( in @ ( sk__1 @ sk__9 @ sk__9 @ X0 ) @ X0 )
| ( sk__9
= ( relation_rng_restriction @ X0 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25925,zip_derived_cl30]) ).
thf(zip_derived_cl25931,plain,
! [X0: $i] :
( ~ ( in @ ( sk__1 @ sk__9 @ sk__9 @ X0 ) @ X0 )
| ( sk__9
= ( relation_rng_restriction @ X0 @ sk__9 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl25930]) ).
thf(zip_derived_cl1204_009,plain,
! [X0: $i] :
( ( sk__9
= ( relation_rng_restriction @ X0 @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk_ @ sk__9 @ sk__9 @ X0 ) @ ( sk__1 @ sk__9 @ sk__9 @ X0 ) ) @ sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1203]) ).
thf(t20_relat_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( in @ ( ordered_pair @ A @ B ) @ C )
=> ( ( in @ A @ ( relation_dom @ C ) )
& ( in @ B @ ( relation_rng @ C ) ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ X2 )
| ( in @ X1 @ ( relation_rng @ X2 ) )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[t20_relat_1]) ).
thf(zip_derived_cl25918,plain,
! [X0: $i] :
( ( sk__9
= ( relation_rng_restriction @ X0 @ sk__9 ) )
| ~ ( relation @ sk__9 )
| ( in @ ( sk__1 @ sk__9 @ sk__9 @ X0 ) @ ( relation_rng @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1204,zip_derived_cl18]) ).
thf(zip_derived_cl30_010,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25936,plain,
! [X0: $i] :
( ( sk__9
= ( relation_rng_restriction @ X0 @ sk__9 ) )
| ( in @ ( sk__1 @ sk__9 @ sk__9 @ X0 ) @ ( relation_rng @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25918,zip_derived_cl30]) ).
thf(zip_derived_cl25949,plain,
( ( sk__9
= ( relation_rng_restriction @ ( relation_rng @ sk__9 ) @ sk__9 ) )
| ( sk__9
= ( relation_rng_restriction @ ( relation_rng @ sk__9 ) @ sk__9 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl25931,zip_derived_cl25936]) ).
thf(zip_derived_cl25950,plain,
( sk__9
= ( relation_rng_restriction @ ( relation_rng @ sk__9 ) @ sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25949]) ).
thf(zip_derived_cl25950_011,plain,
( sk__9
= ( relation_rng_restriction @ ( relation_rng @ sk__9 ) @ sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25949]) ).
thf(zip_derived_cl30_012,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14_013,plain,
! [X0: $i,X1: $i] :
( ( relation @ ( relation_rng_restriction @ X0 @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[dt_k8_relat_1]) ).
thf(zip_derived_cl14_014,plain,
! [X0: $i,X1: $i] :
( ( relation @ ( relation_rng_restriction @ X0 @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[dt_k8_relat_1]) ).
thf(zip_derived_cl33,plain,
( ( in @ sk__7 @ ( relation_rng @ sk__9 ) )
| ( in @ sk__7 @ ( relation_rng @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_015,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_cl61,plain,
! [X0: $i] :
( ( in @ sk__7 @ ( relation_rng @ sk__9 ) )
| ~ ( relation @ X0 )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ X0 ) @ sk__7 ) @ X0 )
| ( ( relation_rng @ ( relation_rng_restriction @ sk__8 @ sk__9 ) )
!= ( relation_rng @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl12]) ).
thf(zip_derived_cl230,plain,
( ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) @ sk__7 ) @ ( relation_rng_restriction @ sk__8 @ sk__9 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__8 @ sk__9 ) )
| ( in @ sk__7 @ ( relation_rng @ sk__9 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl300,plain,
( ~ ( relation @ sk__9 )
| ( in @ sk__7 @ ( relation_rng @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) @ sk__7 ) @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl230]) ).
thf(zip_derived_cl30_016,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl301,plain,
( ( in @ sk__7 @ ( relation_rng @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) @ sk__7 ) @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl300,zip_derived_cl30]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( relation @ X0 )
| ( X0
!= ( relation_rng_restriction @ X1 @ X2 ) )
| ( in @ ( ordered_pair @ X3 @ X4 ) @ X2 )
| ~ ( in @ ( ordered_pair @ X3 @ X4 ) @ X0 )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[d12_relat_1]) ).
thf(zip_derived_cl408,plain,
! [X0: $i,X1: $i] :
( ( in @ sk__7 @ ( relation_rng @ sk__9 ) )
| ~ ( relation @ X0 )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) @ sk__7 ) @ X0 )
| ( ( relation_rng_restriction @ sk__8 @ sk__9 )
!= ( relation_rng_restriction @ X1 @ X0 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl2]) ).
thf(zip_derived_cl4626,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ sk__9 )
| ( ( relation_rng_restriction @ sk__8 @ sk__9 )
!= ( relation_rng_restriction @ X1 @ X0 ) )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) @ sk__7 ) @ X0 )
| ~ ( relation @ X0 )
| ( in @ sk__7 @ ( relation_rng @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl408]) ).
thf(zip_derived_cl30_017,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4627,plain,
! [X0: $i,X1: $i] :
( ( ( relation_rng_restriction @ sk__8 @ sk__9 )
!= ( relation_rng_restriction @ X1 @ X0 ) )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) @ sk__7 ) @ X0 )
| ~ ( relation @ X0 )
| ( in @ sk__7 @ ( relation_rng @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4626,zip_derived_cl30]) ).
thf(zip_derived_cl5100,plain,
! [X0: $i] :
( ( in @ sk__7 @ ( relation_rng @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) @ sk__7 ) @ sk__9 )
| ( ( relation_rng_restriction @ sk__8 @ sk__9 )
!= ( relation_rng_restriction @ X0 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl4627]) ).
thf(zip_derived_cl5109,plain,
( ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) @ sk__7 ) @ sk__9 )
| ( in @ sk__7 @ ( relation_rng @ sk__9 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5100]) ).
thf(zip_derived_cl18_018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ X2 )
| ( in @ X1 @ ( relation_rng @ X2 ) )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[t20_relat_1]) ).
thf(zip_derived_cl5117,plain,
( ( in @ sk__7 @ ( relation_rng @ sk__9 ) )
| ~ ( relation @ sk__9 )
| ( in @ sk__7 @ ( relation_rng @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5109,zip_derived_cl18]) ).
thf(zip_derived_cl30_019,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5123,plain,
( ( in @ sk__7 @ ( relation_rng @ sk__9 ) )
| ( in @ sk__7 @ ( relation_rng @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5117,zip_derived_cl30]) ).
thf(zip_derived_cl5124,plain,
in @ sk__7 @ ( relation_rng @ sk__9 ),
inference(simplify,[status(thm)],[zip_derived_cl5123]) ).
thf(zip_derived_cl12_020,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_cl5129,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ X0 ) @ sk__7 ) @ X0 )
| ( ( relation_rng @ sk__9 )
!= ( relation_rng @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5124,zip_derived_cl12]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( relation @ X0 )
| ( X0
!= ( relation_rng_restriction @ X1 @ X2 ) )
| ( in @ ( ordered_pair @ X3 @ X4 ) @ X0 )
| ~ ( in @ ( ordered_pair @ X3 @ X4 ) @ X2 )
| ~ ( in @ X4 @ X1 )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[d12_relat_1]) ).
thf(zip_derived_cl5911,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( relation_rng @ sk__9 )
!= ( relation_rng @ X0 ) )
| ~ ( relation @ X0 )
| ~ ( relation @ X0 )
| ~ ( in @ sk__7 @ X1 )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ X0 ) @ sk__7 ) @ X2 )
| ( X2
!= ( relation_rng_restriction @ X1 @ X0 ) )
| ~ ( relation @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5129,zip_derived_cl1]) ).
thf(zip_derived_cl5917,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X2 )
| ( X2
!= ( relation_rng_restriction @ X1 @ X0 ) )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ X0 ) @ sk__7 ) @ X2 )
| ~ ( in @ sk__7 @ X1 )
| ~ ( relation @ X0 )
| ( ( relation_rng @ sk__9 )
!= ( relation_rng @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5911]) ).
thf(zip_derived_cl25976,plain,
! [X0: $i] :
( ( X0 != sk__9 )
| ( ( relation_rng @ sk__9 )
!= ( relation_rng @ sk__9 ) )
| ~ ( relation @ sk__9 )
| ~ ( in @ sk__7 @ ( relation_rng @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ sk__9 ) @ sk__7 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl25950,zip_derived_cl5917]) ).
thf(zip_derived_cl30_021,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5124_022,plain,
in @ sk__7 @ ( relation_rng @ sk__9 ),
inference(simplify,[status(thm)],[zip_derived_cl5123]) ).
thf(zip_derived_cl26021,plain,
! [X0: $i] :
( ( X0 != sk__9 )
| ( ( relation_rng @ sk__9 )
!= ( relation_rng @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ sk__9 ) @ sk__7 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl25976,zip_derived_cl30,zip_derived_cl5124]) ).
thf(zip_derived_cl26022,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ sk__9 ) @ sk__7 ) @ X0 )
| ( X0 != sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26021]) ).
thf(zip_derived_cl2_023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( relation @ X0 )
| ( X0
!= ( relation_rng_restriction @ X1 @ X2 ) )
| ( in @ ( ordered_pair @ X3 @ X4 ) @ X2 )
| ~ ( in @ ( ordered_pair @ X3 @ X4 ) @ X0 )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[d12_relat_1]) ).
thf(zip_derived_cl27270,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 != sk__9 )
| ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ sk__9 ) @ sk__7 ) @ X1 )
| ( X0
!= ( relation_rng_restriction @ X2 @ X1 ) )
| ~ ( relation @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl26022,zip_derived_cl2]) ).
thf(zip_derived_cl27277,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( relation_rng_restriction @ X2 @ X1 ) )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ sk__9 ) @ sk__7 ) @ X1 )
| ~ ( relation @ X1 )
| ~ ( relation @ X0 )
| ( X0 != sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27270]) ).
thf(zip_derived_cl32373,plain,
! [X0: $i] :
( ( X0 != sk__9 )
| ( X0 != sk__9 )
| ~ ( relation @ X0 )
| ~ ( relation @ sk__9 )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ sk__9 ) @ sk__7 ) @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl25950,zip_derived_cl27277]) ).
thf(zip_derived_cl30_024,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32375,plain,
! [X0: $i] :
( ( X0 != sk__9 )
| ( X0 != sk__9 )
| ~ ( relation @ X0 )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ sk__9 ) @ sk__7 ) @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl32373,zip_derived_cl30]) ).
thf(zip_derived_cl32376,plain,
! [X0: $i] :
( ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ sk__9 ) @ sk__7 ) @ sk__9 )
| ~ ( relation @ X0 )
| ( X0 != sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32375]) ).
thf(zip_derived_cl32379,plain,
( ( sk__9 != sk__9 )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ sk__9 ) @ sk__7 ) @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl32376]) ).
thf(zip_derived_cl32380,plain,
in @ ( ordered_pair @ ( sk__5 @ sk__7 @ sk__9 ) @ sk__7 ) @ sk__9,
inference(simplify,[status(thm)],[zip_derived_cl32379]) ).
thf(zip_derived_cl1_025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( relation @ X0 )
| ( X0
!= ( relation_rng_restriction @ X1 @ X2 ) )
| ( in @ ( ordered_pair @ X3 @ X4 ) @ X0 )
| ~ ( in @ ( ordered_pair @ X3 @ X4 ) @ X2 )
| ~ ( in @ X4 @ X1 )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[d12_relat_1]) ).
thf(zip_derived_cl32385,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ sk__9 )
| ~ ( in @ sk__7 @ X0 )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ sk__9 ) @ sk__7 ) @ X1 )
| ( X1
!= ( relation_rng_restriction @ X0 @ sk__9 ) )
| ~ ( relation @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl32380,zip_derived_cl1]) ).
thf(zip_derived_cl30_026,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32391,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ sk__7 @ X0 )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ sk__9 ) @ sk__7 ) @ X1 )
| ( X1
!= ( relation_rng_restriction @ X0 @ sk__9 ) )
| ~ ( relation @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl32385,zip_derived_cl30]) ).
thf(zip_derived_cl39083,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ( X0
!= ( relation_rng_restriction @ sk__8 @ sk__9 ) )
| ( in @ ( ordered_pair @ ( sk__5 @ sk__7 @ sk__9 ) @ sk__7 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl32391]) ).
thf(zip_derived_cl18_027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ X2 )
| ( in @ X1 @ ( relation_rng @ X2 ) )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[t20_relat_1]) ).
thf(zip_derived_cl39373,plain,
! [X0: $i] :
( ( X0
!= ( relation_rng_restriction @ sk__8 @ sk__9 ) )
| ~ ( relation @ X0 )
| ~ ( relation @ X0 )
| ( in @ sk__7 @ ( relation_rng @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl39083,zip_derived_cl18]) ).
thf(zip_derived_cl39381,plain,
! [X0: $i] :
( ( in @ sk__7 @ ( relation_rng @ X0 ) )
| ~ ( relation @ X0 )
| ( X0
!= ( relation_rng_restriction @ sk__8 @ sk__9 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl39373]) ).
thf(zip_derived_cl31,plain,
( ~ ( in @ sk__7 @ ( relation_rng @ sk__9 ) )
| ~ ( in @ sk__7 @ sk__8 )
| ~ ( in @ sk__7 @ ( relation_rng @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl398_028,plain,
in @ sk__7 @ sk__8,
inference(simplify,[status(thm)],[zip_derived_cl397]) ).
thf(zip_derived_cl399,plain,
( ~ ( in @ sk__7 @ ( relation_rng @ sk__9 ) )
| ~ ( in @ sk__7 @ ( relation_rng @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl398]) ).
thf(zip_derived_cl5124_029,plain,
in @ sk__7 @ ( relation_rng @ sk__9 ),
inference(simplify,[status(thm)],[zip_derived_cl5123]) ).
thf(zip_derived_cl5126,plain,
~ ( in @ sk__7 @ ( relation_rng @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl5124]) ).
thf(zip_derived_cl39447,plain,
( ( ( relation_rng_restriction @ sk__8 @ sk__9 )
!= ( relation_rng_restriction @ sk__8 @ sk__9 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl39381,zip_derived_cl5126]) ).
thf(zip_derived_cl39449,plain,
~ ( relation @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl39447]) ).
thf(zip_derived_cl39450,plain,
~ ( relation @ sk__9 ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl39449]) ).
thf(zip_derived_cl30_030,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39451,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl39450,zip_derived_cl30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU197+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.njKVXEJs0e true
% 0.13/0.35 % Computer : n026.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 19:35:46 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 58.12/8.92 % Solved by fo/fo4.sh.
% 58.12/8.92 % done 3833 iterations in 8.112s
% 58.12/8.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 58.12/8.92 % SZS output start Refutation
% See solution above
% 58.12/8.92
% 58.12/8.92
% 58.12/8.92 % Terminating...
% 58.63/8.98 % Runner terminated.
% 58.63/9.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------