TSTP Solution File: SEU297+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU297+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.0UbXpu938J true
% Computer : n019.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 19:11:54 EDT 2023
% Result : Theorem 0.55s 0.87s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 31
% Syntax : Number of formulae : 107 ( 19 unt; 24 typ; 0 def)
% Number of atoms : 210 ( 19 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1345 ( 61 ~; 91 |; 20 &;1157 @)
% ( 5 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 58 ( 58 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 4 con; 0-5 aty)
% Number of variables : 151 ( 0 ^; 145 !; 6 ?; 151 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(function_type,type,
function: $i > $o ).
thf(relation_image_type,type,
relation_image: $i > $i > $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(sk__22_type,type,
sk__22: $i > $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(sk__21_type,type,
sk__21: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $i > $i > $o ).
thf(sk__24_type,type,
sk__24: $i > $i > $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $i > $o ).
thf(sk__20_type,type,
sk__20: $i > $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__23_type,type,
sk__23: $i > $i > $i ).
thf(s1_xboole_0__e6_27__finset_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
& ( relation @ C )
& ( function @ C ) )
=> ? [D: $i] :
! [E: $i] :
( ( in @ E @ D )
<=> ( ( in @ E @ ( powerset @ ( relation_dom @ C ) ) )
& ( in @ ( relation_image @ C @ E ) @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
& ( relation @ C )
& ( function @ C ) )
=> ? [D: $i] :
! [E: $i] :
( ( in @ E @ D )
<=> ( ( in @ E @ ( powerset @ ( relation_dom @ C ) ) )
& ( in @ ( relation_image @ C @ E ) @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[s1_xboole_0__e6_27__finset_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( in @ ( relation_image @ sk__2 @ ( sk__3 @ X0 ) ) @ sk__1 )
| ( in @ ( sk__3 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(s1_tarski__e6_27__finset_1__1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( function @ C )
& ( relation @ C )
& ( element @ B @ ( powerset @ ( powerset @ A ) ) ) )
=> ( ! [D: $i,E: $i,F: $i] :
( ( ( in @ ( relation_image @ C @ F ) @ B )
& ( D = F )
& ( in @ ( relation_image @ C @ E ) @ B )
& ( D = E ) )
=> ( E = F ) )
=> ? [D: $i] :
! [E: $i] :
( ( in @ E @ D )
<=> ? [F: $i] :
( ( in @ F @ ( powerset @ ( relation_dom @ C ) ) )
& ( F = E )
& ( in @ ( relation_image @ C @ E ) @ B ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [F: $i,E: $i,C: $i,B: $i] :
( ( zip_tseitin_2 @ F @ E @ C @ B )
<=> ( ( in @ ( relation_image @ C @ E ) @ B )
& ( F = E )
& ( in @ F @ ( powerset @ ( relation_dom @ C ) ) ) ) ) ).
thf(zip_derived_cl97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 )
| ~ ( in @ X0 @ ( powerset @ ( relation_dom @ X2 ) ) )
| ( X0 != X1 )
| ~ ( in @ ( relation_image @ X2 @ X1 ) @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl249,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( relation_image @ X2 @ X1 ) @ X0 )
| ~ ( in @ X1 @ ( powerset @ ( relation_dom @ X2 ) ) )
| ( zip_tseitin_2 @ X1 @ X1 @ X2 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl97]) ).
thf(zip_derived_cl250,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 ) @ X0 )
| ( zip_tseitin_2 @ ( sk__3 @ X0 ) @ ( sk__3 @ X0 ) @ sk__2 @ sk__1 )
| ~ ( in @ ( sk__3 @ X0 ) @ ( powerset @ ( relation_dom @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl249]) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 ) @ ( powerset @ ( relation_dom @ sk__2 ) ) )
| ( in @ ( sk__3 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl258,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__3 @ X0 ) @ ( sk__3 @ X0 ) @ sk__2 @ sk__1 )
| ( in @ ( sk__3 @ X0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl250,zip_derived_cl0]) ).
thf(zip_derived_cl258_001,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__3 @ X0 ) @ ( sk__3 @ X0 ) @ sk__2 @ sk__1 )
| ( in @ ( sk__3 @ X0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl250,zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
function @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_2,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i] :
( ( ( zip_tseitin_0 @ F @ E @ D @ C @ B )
=> ( E = F ) )
=> ( zip_tseitin_1 @ F @ E @ D @ C @ B ) ) ).
thf(zip_derived_cl93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl5,plain,
element @ sk__1 @ ( powerset @ ( powerset @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_3,type,
zip_tseitin_3: $i > $i > $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [E: $i,D: $i,C: $i,B: $i] :
( ( zip_tseitin_3 @ E @ D @ C @ B )
=> ( ( in @ E @ D )
<=> ? [F: $i] : ( zip_tseitin_2 @ F @ E @ C @ B ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_2: $i > $i > $i > $i > $o ).
thf(zf_stmt_6,type,
zip_tseitin_1: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_7,type,
zip_tseitin_0: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_8,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i] :
( ( zip_tseitin_0 @ F @ E @ D @ C @ B )
=> ( ( D = E )
& ( in @ ( relation_image @ C @ E ) @ B )
& ( D = F )
& ( in @ ( relation_image @ C @ F ) @ B ) ) ) ).
thf(zf_stmt_9,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
& ( relation @ C )
& ( function @ C ) )
=> ( ! [D: $i,E: $i,F: $i] : ( zip_tseitin_1 @ F @ E @ D @ C @ B )
=> ? [D: $i] :
! [E: $i] : ( zip_tseitin_3 @ E @ D @ C @ B ) ) ) ).
thf(zip_derived_cl100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) )
| ~ ( relation @ X2 )
| ~ ( function @ X2 )
| ( zip_tseitin_3 @ X3 @ ( sk__24 @ X2 @ X0 ) @ X2 @ X0 )
| ~ ( zip_tseitin_1 @ ( sk__23 @ X2 @ X0 ) @ ( sk__22 @ X2 @ X0 ) @ ( sk__21 @ X2 @ X0 ) @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl251,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ ( sk__23 @ X0 @ sk__1 ) @ ( sk__22 @ X0 @ sk__1 ) @ ( sk__21 @ X0 @ sk__1 ) @ X0 @ sk__1 )
| ( zip_tseitin_3 @ X1 @ ( sk__24 @ X0 @ sk__1 ) @ X0 @ sk__1 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl100]) ).
thf(zip_derived_cl261,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ ( sk__23 @ X0 @ sk__1 ) @ ( sk__22 @ X0 @ sk__1 ) @ ( sk__21 @ X0 @ sk__1 ) @ X0 @ sk__1 )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( zip_tseitin_3 @ X1 @ ( sk__24 @ X0 @ sk__1 ) @ X0 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl251]) ).
thf(zip_derived_cl271,plain,
! [X0: $i] :
( ( zip_tseitin_3 @ X0 @ ( sk__24 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ~ ( relation @ sk__2 )
| ( zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl261]) ).
thf(zip_derived_cl4,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl277,plain,
! [X0: $i] :
( ( zip_tseitin_3 @ X0 @ ( sk__24 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl271,zip_derived_cl4]) ).
thf(zip_derived_cl99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( zip_tseitin_2 @ ( sk__20 @ X2 @ X3 @ X0 ) @ X0 @ X3 @ X2 )
| ~ ( zip_tseitin_3 @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl289,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( zip_tseitin_2 @ ( sk__20 @ sk__1 @ sk__2 @ X0 ) @ X0 @ sk__2 @ sk__1 )
| ~ ( in @ X0 @ ( sk__24 @ sk__2 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl99]) ).
thf(zip_derived_cl301,plain,
( ( zip_tseitin_2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 )
| ( zip_tseitin_2 @ ( sk__20 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 )
| ( zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl289]) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl312,plain,
( ( zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( zip_tseitin_2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 )
| ( ( sk__20 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) )
= ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl95]) ).
thf(zip_derived_cl301_002,plain,
( ( zip_tseitin_2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 )
| ( zip_tseitin_2 @ ( sk__20 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 )
| ( zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl289]) ).
thf(zip_derived_cl315,plain,
( ( zip_tseitin_2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 )
| ( zip_tseitin_2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 )
| ( zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( zip_tseitin_2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl312,zip_derived_cl301]) ).
thf(zip_derived_cl316,plain,
( ( zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( zip_tseitin_2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl315]) ).
thf(zip_derived_cl98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 )
| ( in @ X1 @ X4 )
| ~ ( zip_tseitin_3 @ X1 @ X4 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl320,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ~ ( zip_tseitin_3 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ X0 @ sk__2 @ sk__1 )
| ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl316,zip_derived_cl98]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ~ ( in @ ( relation_image @ sk__2 @ ( sk__3 @ X0 ) ) @ sk__1 )
| ~ ( in @ ( sk__3 @ X0 ) @ ( powerset @ ( relation_dom @ sk__2 ) ) )
| ~ ( in @ ( sk__3 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl335,plain,
( ~ ( zip_tseitin_3 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__24 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ~ ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( powerset @ ( relation_dom @ sk__2 ) ) )
| ~ ( in @ ( relation_image @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) ) @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl320,zip_derived_cl2]) ).
thf(zip_derived_cl277_003,plain,
! [X0: $i] :
( ( zip_tseitin_3 @ X0 @ ( sk__24 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl271,zip_derived_cl4]) ).
thf(zip_derived_cl347,plain,
( ~ ( in @ ( relation_image @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) ) @ sk__1 )
| ~ ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( powerset @ ( relation_dom @ sk__2 ) ) )
| ( zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl335,zip_derived_cl277]) ).
thf(zip_derived_cl316_004,plain,
( ( zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( zip_tseitin_2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl315]) ).
thf(zip_derived_cl94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( relation_image @ X0 @ X1 ) @ X2 )
| ~ ( zip_tseitin_2 @ X3 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl317,plain,
( ( zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( in @ ( relation_image @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) ) @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl316,zip_derived_cl94]) ).
thf(zip_derived_cl348,plain,
( ( zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ~ ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( powerset @ ( relation_dom @ sk__2 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl347,zip_derived_cl317]) ).
thf(zip_derived_cl316_005,plain,
( ( zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( zip_tseitin_2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl315]) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ ( powerset @ ( relation_dom @ X1 ) ) )
| ~ ( zip_tseitin_2 @ X0 @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl319,plain,
( ( zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( powerset @ ( relation_dom @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl316,zip_derived_cl96]) ).
thf(zip_derived_cl349,plain,
zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1,
inference(clc,[status(thm)],[zip_derived_cl348,zip_derived_cl319]) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_0 @ X2 @ X0 @ X1 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl350,plain,
( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl349,zip_derived_cl88]) ).
thf(zip_derived_cl251_006,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ ( sk__23 @ X0 @ sk__1 ) @ ( sk__22 @ X0 @ sk__1 ) @ ( sk__21 @ X0 @ sk__1 ) @ X0 @ sk__1 )
| ( zip_tseitin_3 @ X1 @ ( sk__24 @ X0 @ sk__1 ) @ X0 @ sk__1 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl100]) ).
thf(zip_derived_cl355,plain,
! [X0: $i] :
( ~ ( zip_tseitin_1 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ~ ( relation @ sk__2 )
| ~ ( function @ sk__2 )
| ( zip_tseitin_3 @ X0 @ ( sk__24 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl251]) ).
thf(zip_derived_cl4_007,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_008,plain,
function @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl356,plain,
! [X0: $i] :
( ~ ( zip_tseitin_1 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( zip_tseitin_3 @ X0 @ ( sk__24 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl355,zip_derived_cl4,zip_derived_cl3]) ).
thf(zip_derived_cl349_009,plain,
zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1,
inference(clc,[status(thm)],[zip_derived_cl348,zip_derived_cl319]) ).
thf(zip_derived_cl350_010,plain,
( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl349,zip_derived_cl88]) ).
thf(zip_derived_cl354,plain,
zip_tseitin_0 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl349,zip_derived_cl350]) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_0 @ X0 @ X2 @ X1 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl360,plain,
( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl90]) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( zip_tseitin_1 @ X3 @ X3 @ X2 @ X1 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl363,plain,
! [X0: $i] : ( zip_tseitin_3 @ X0 @ ( sk__24 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl356,zip_derived_cl360,zip_derived_cl189]) ).
thf(zip_derived_cl99_011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( zip_tseitin_2 @ ( sk__20 @ X2 @ X3 @ X0 ) @ X0 @ X3 @ X2 )
| ~ ( zip_tseitin_3 @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl366,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__20 @ sk__1 @ sk__2 @ X0 ) @ X0 @ sk__2 @ sk__1 )
| ~ ( in @ X0 @ ( sk__24 @ sk__2 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl99]) ).
thf(zip_derived_cl373,plain,
( ( zip_tseitin_2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 )
| ( zip_tseitin_2 @ ( sk__20 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl366]) ).
thf(zip_derived_cl95_012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl375,plain,
( ( zip_tseitin_2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 )
| ( ( sk__20 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) )
= ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl373,zip_derived_cl95]) ).
thf(zip_derived_cl373_013,plain,
( ( zip_tseitin_2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 )
| ( zip_tseitin_2 @ ( sk__20 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl366]) ).
thf(zip_derived_cl381,plain,
( ( zip_tseitin_2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 )
| ( zip_tseitin_2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 )
| ( zip_tseitin_2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl375,zip_derived_cl373]) ).
thf(zip_derived_cl382,plain,
zip_tseitin_2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1,
inference(simplify,[status(thm)],[zip_derived_cl381]) ).
thf(zip_derived_cl98_014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 )
| ( in @ X1 @ X4 )
| ~ ( zip_tseitin_3 @ X1 @ X4 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl386,plain,
! [X0: $i] :
( ~ ( zip_tseitin_3 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ X0 @ sk__2 @ sk__1 )
| ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl98]) ).
thf(zip_derived_cl2_015,plain,
! [X0: $i] :
( ~ ( in @ ( relation_image @ sk__2 @ ( sk__3 @ X0 ) ) @ sk__1 )
| ~ ( in @ ( sk__3 @ X0 ) @ ( powerset @ ( relation_dom @ sk__2 ) ) )
| ~ ( in @ ( sk__3 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl399,plain,
( ~ ( zip_tseitin_3 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__24 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ~ ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( powerset @ ( relation_dom @ sk__2 ) ) )
| ~ ( in @ ( relation_image @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) ) @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl2]) ).
thf(zip_derived_cl363_016,plain,
! [X0: $i] : ( zip_tseitin_3 @ X0 @ ( sk__24 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl356,zip_derived_cl360,zip_derived_cl189]) ).
thf(zip_derived_cl382_017,plain,
zip_tseitin_2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1,
inference(simplify,[status(thm)],[zip_derived_cl381]) ).
thf(zip_derived_cl96_018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ ( powerset @ ( relation_dom @ X1 ) ) )
| ~ ( zip_tseitin_2 @ X0 @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl385,plain,
in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( powerset @ ( relation_dom @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl96]) ).
thf(zip_derived_cl373_019,plain,
( ( zip_tseitin_2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 )
| ( zip_tseitin_2 @ ( sk__20 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl366]) ).
thf(zip_derived_cl94_020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( relation_image @ X0 @ X1 ) @ X2 )
| ~ ( zip_tseitin_2 @ X3 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl374,plain,
( ( zip_tseitin_2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) @ sk__2 @ sk__1 )
| ( in @ ( relation_image @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) ) @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl373,zip_derived_cl94]) ).
thf(zip_derived_cl94_021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( relation_image @ X0 @ X1 ) @ X2 )
| ~ ( zip_tseitin_2 @ X3 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl378,plain,
in @ ( relation_image @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 ) ) ) @ sk__1,
inference(clc,[status(thm)],[zip_derived_cl374,zip_derived_cl94]) ).
thf(zip_derived_cl401,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl363,zip_derived_cl385,zip_derived_cl378]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU297+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0UbXpu938J true
% 0.13/0.35 % Computer : n019.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 13:28:44 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in 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
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.87 % Solved by fo/fo7.sh.
% 0.55/0.87 % done 245 iterations in 0.078s
% 0.55/0.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.87 % SZS output start Refutation
% See solution above
% 0.55/0.87
% 0.55/0.87
% 0.55/0.87 % Terminating...
% 1.49/0.98 % Runner terminated.
% 1.49/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------