TSTP Solution File: SET720+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET720+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IWsWMCC4tO true
% Computer : n020.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 16:15:43 EDT 2023
% Result : Theorem 77.21s 11.73s
% Output : Refutation 77.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 27
% Syntax : Number of formulae : 88 ( 11 unt; 19 typ; 0 def)
% Number of atoms : 208 ( 23 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1446 ( 75 ~; 105 |; 16 &;1232 @)
% ( 7 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 59 ( 59 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 4 con; 0-5 aty)
% Number of variables : 213 ( 0 ^; 211 !; 2 ?; 213 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(one_to_one_type,type,
one_to_one: $i > $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i > $i > $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(maps_type,type,
maps: $i > $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(inverse_function_type,type,
inverse_function: $i > $i > $i > $i ).
thf(apply_type,type,
apply: $i > $i > $i > $o ).
thf(equal_maps_type,type,
equal_maps: $i > $i > $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__6_type,type,
sk__6: $i > $i > $i > $i > $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i > $i > $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(equal_maps,axiom,
! [F: $i,G: $i,A: $i,B: $i] :
( ( equal_maps @ F @ G @ A @ B )
<=> ! [X: $i,Y1: $i,Y2: $i] :
( ( ( member @ X @ A )
& ( member @ Y1 @ B )
& ( member @ Y2 @ B ) )
=> ( ( ( apply @ F @ X @ Y1 )
& ( apply @ G @ X @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( equal_maps @ X0 @ X1 @ X2 @ X3 )
| ( member @ ( sk__6 @ X3 @ X2 @ X1 @ X0 ) @ X3 ) ),
inference(cnf,[status(esa)],[equal_maps]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( equal_maps @ X0 @ X1 @ X2 @ X3 )
| ( member @ ( sk__5 @ X3 @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[equal_maps]) ).
thf(zip_derived_cl18_001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( equal_maps @ X0 @ X1 @ X2 @ X3 )
| ( member @ ( sk__6 @ X3 @ X2 @ X1 @ X0 ) @ X3 ) ),
inference(cnf,[status(esa)],[equal_maps]) ).
thf(zip_derived_cl18_002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( equal_maps @ X0 @ X1 @ X2 @ X3 )
| ( member @ ( sk__6 @ X3 @ X2 @ X1 @ X0 ) @ X3 ) ),
inference(cnf,[status(esa)],[equal_maps]) ).
thf(zip_derived_cl19_003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( equal_maps @ X0 @ X1 @ X2 @ X3 )
| ( member @ ( sk__5 @ X3 @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[equal_maps]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( equal_maps @ X0 @ X1 @ X2 @ X3 )
| ( apply @ X0 @ ( sk__5 @ X3 @ X2 @ X1 @ X0 ) @ ( sk__6 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[equal_maps]) ).
thf(inverse_function,axiom,
! [F: $i,A: $i,B: $i,X: $i,Y: $i] :
( ( ( member @ X @ A )
& ( member @ Y @ B ) )
=> ( ( apply @ F @ X @ Y )
<=> ( apply @ ( inverse_function @ F @ A @ B ) @ Y @ X ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( member @ X2 @ X3 )
| ( apply @ X4 @ X0 @ X2 )
| ~ ( apply @ ( inverse_function @ X4 @ X1 @ X3 ) @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[inverse_function]) ).
thf(zip_derived_cl121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( equal_maps @ ( inverse_function @ X2 @ X1 @ X0 ) @ X3 @ X4 @ X5 )
| ( apply @ X2 @ ( sk__6 @ X5 @ X4 @ X3 @ ( inverse_function @ X2 @ X1 @ X0 ) ) @ ( sk__5 @ X5 @ X4 @ X3 @ ( inverse_function @ X2 @ X1 @ X0 ) ) )
| ~ ( member @ ( sk__5 @ X5 @ X4 @ X3 @ ( inverse_function @ X2 @ X1 @ X0 ) ) @ X0 )
| ~ ( member @ ( sk__6 @ X5 @ X4 @ X3 @ ( inverse_function @ X2 @ X1 @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl27]) ).
thf(zip_derived_cl1046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( equal_maps @ ( inverse_function @ X2 @ X1 @ X0 ) @ X3 @ X0 @ X4 )
| ~ ( member @ ( sk__6 @ X4 @ X0 @ X3 @ ( inverse_function @ X2 @ X1 @ X0 ) ) @ X1 )
| ( apply @ X2 @ ( sk__6 @ X4 @ X0 @ X3 @ ( inverse_function @ X2 @ X1 @ X0 ) ) @ ( sk__5 @ X4 @ X0 @ X3 @ ( inverse_function @ X2 @ X1 @ X0 ) ) )
| ( equal_maps @ ( inverse_function @ X2 @ X1 @ X0 ) @ X3 @ X0 @ X4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl121]) ).
thf(zip_derived_cl1049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( apply @ X2 @ ( sk__6 @ X4 @ X0 @ X3 @ ( inverse_function @ X2 @ X1 @ X0 ) ) @ ( sk__5 @ X4 @ X0 @ X3 @ ( inverse_function @ X2 @ X1 @ X0 ) ) )
| ~ ( member @ ( sk__6 @ X4 @ X0 @ X3 @ ( inverse_function @ X2 @ X1 @ X0 ) ) @ X1 )
| ( equal_maps @ ( inverse_function @ X2 @ X1 @ X0 ) @ X3 @ X0 @ X4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1046]) ).
thf(zip_derived_cl1078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( equal_maps @ ( inverse_function @ X2 @ X0 @ X1 ) @ X3 @ X1 @ X0 )
| ( equal_maps @ ( inverse_function @ X2 @ X0 @ X1 ) @ X3 @ X1 @ X0 )
| ( apply @ X2 @ ( sk__6 @ X0 @ X1 @ X3 @ ( inverse_function @ X2 @ X0 @ X1 ) ) @ ( sk__5 @ X0 @ X1 @ X3 @ ( inverse_function @ X2 @ X0 @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl1049]) ).
thf(zip_derived_cl1081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( apply @ X2 @ ( sk__6 @ X0 @ X1 @ X3 @ ( inverse_function @ X2 @ X0 @ X1 ) ) @ ( sk__5 @ X0 @ X1 @ X3 @ ( inverse_function @ X2 @ X0 @ X1 ) ) )
| ( equal_maps @ ( inverse_function @ X2 @ X0 @ X1 ) @ X3 @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1078]) ).
thf(zip_derived_cl27_004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( member @ X2 @ X3 )
| ( apply @ X4 @ X0 @ X2 )
| ~ ( apply @ ( inverse_function @ X4 @ X1 @ X3 ) @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[inverse_function]) ).
thf(zip_derived_cl1085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( equal_maps @ ( inverse_function @ ( inverse_function @ X4 @ X3 @ X2 ) @ X1 @ X0 ) @ X5 @ X0 @ X1 )
| ( apply @ X4 @ ( sk__5 @ X1 @ X0 @ X5 @ ( inverse_function @ ( inverse_function @ X4 @ X3 @ X2 ) @ X1 @ X0 ) ) @ ( sk__6 @ X1 @ X0 @ X5 @ ( inverse_function @ ( inverse_function @ X4 @ X3 @ X2 ) @ X1 @ X0 ) ) )
| ~ ( member @ ( sk__6 @ X1 @ X0 @ X5 @ ( inverse_function @ ( inverse_function @ X4 @ X3 @ X2 ) @ X1 @ X0 ) ) @ X2 )
| ~ ( member @ ( sk__5 @ X1 @ X0 @ X5 @ ( inverse_function @ ( inverse_function @ X4 @ X3 @ X2 ) @ X1 @ X0 ) ) @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1081,zip_derived_cl27]) ).
thf(zip_derived_cl16405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( equal_maps @ ( inverse_function @ ( inverse_function @ X3 @ X2 @ X0 ) @ X0 @ X1 ) @ X4 @ X1 @ X0 )
| ~ ( member @ ( sk__5 @ X0 @ X1 @ X4 @ ( inverse_function @ ( inverse_function @ X3 @ X2 @ X0 ) @ X0 @ X1 ) ) @ X2 )
| ( apply @ X3 @ ( sk__5 @ X0 @ X1 @ X4 @ ( inverse_function @ ( inverse_function @ X3 @ X2 @ X0 ) @ X0 @ X1 ) ) @ ( sk__6 @ X0 @ X1 @ X4 @ ( inverse_function @ ( inverse_function @ X3 @ X2 @ X0 ) @ X0 @ X1 ) ) )
| ( equal_maps @ ( inverse_function @ ( inverse_function @ X3 @ X2 @ X0 ) @ X0 @ X1 ) @ X4 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl1085]) ).
thf(zip_derived_cl16409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( apply @ X3 @ ( sk__5 @ X0 @ X1 @ X4 @ ( inverse_function @ ( inverse_function @ X3 @ X2 @ X0 ) @ X0 @ X1 ) ) @ ( sk__6 @ X0 @ X1 @ X4 @ ( inverse_function @ ( inverse_function @ X3 @ X2 @ X0 ) @ X0 @ X1 ) ) )
| ~ ( member @ ( sk__5 @ X0 @ X1 @ X4 @ ( inverse_function @ ( inverse_function @ X3 @ X2 @ X0 ) @ X0 @ X1 ) ) @ X2 )
| ( equal_maps @ ( inverse_function @ ( inverse_function @ X3 @ X2 @ X0 ) @ X0 @ X1 ) @ X4 @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16405]) ).
thf(zip_derived_cl16410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( equal_maps @ ( inverse_function @ ( inverse_function @ X2 @ X0 @ X1 ) @ X1 @ X0 ) @ X3 @ X0 @ X1 )
| ( equal_maps @ ( inverse_function @ ( inverse_function @ X2 @ X0 @ X1 ) @ X1 @ X0 ) @ X3 @ X0 @ X1 )
| ( apply @ X2 @ ( sk__5 @ X1 @ X0 @ X3 @ ( inverse_function @ ( inverse_function @ X2 @ X0 @ X1 ) @ X1 @ X0 ) ) @ ( sk__6 @ X1 @ X0 @ X3 @ ( inverse_function @ ( inverse_function @ X2 @ X0 @ X1 ) @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl16409]) ).
thf(zip_derived_cl16414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( apply @ X2 @ ( sk__5 @ X1 @ X0 @ X3 @ ( inverse_function @ ( inverse_function @ X2 @ X0 @ X1 ) @ X1 @ X0 ) ) @ ( sk__6 @ X1 @ X0 @ X3 @ ( inverse_function @ ( inverse_function @ X2 @ X0 @ X1 ) @ X1 @ X0 ) ) )
| ( equal_maps @ ( inverse_function @ ( inverse_function @ X2 @ X0 @ X1 ) @ X1 @ X0 ) @ X3 @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16410]) ).
thf(zip_derived_cl19_005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( equal_maps @ X0 @ X1 @ X2 @ X3 )
| ( member @ ( sk__5 @ X3 @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[equal_maps]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( equal_maps @ X0 @ X1 @ X2 @ X3 )
| ( member @ ( sk__7 @ X3 @ X2 @ X1 @ X0 ) @ X3 ) ),
inference(cnf,[status(esa)],[equal_maps]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( equal_maps @ X0 @ X1 @ X2 @ X3 )
| ( apply @ X1 @ ( sk__5 @ X3 @ X2 @ X1 @ X0 ) @ ( sk__7 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[equal_maps]) ).
thf(maps,axiom,
! [F: $i,A: $i,B: $i] :
( ( maps @ F @ A @ B )
<=> ( ! [X: $i,Y1: $i,Y2: $i] :
( ( ( member @ Y2 @ B )
& ( member @ Y1 @ B )
& ( member @ X @ A ) )
=> ( ( ( apply @ F @ X @ Y2 )
& ( apply @ F @ X @ Y1 ) )
=> ( Y1 = Y2 ) ) )
& ! [X: $i] :
( ( member @ X @ A )
=> ? [Y: $i] :
( ( member @ Y @ B )
& ( apply @ F @ X @ Y ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_2: $i > $i > $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [X: $i,B: $i,A: $i,F: $i] :
( ( zip_tseitin_2 @ X @ B @ A @ F )
<=> ( ( member @ X @ A )
=> ? [Y: $i] :
( ( apply @ F @ X @ Y )
& ( member @ Y @ B ) ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [Y2: $i,Y1: $i,X: $i,F: $i] :
( ( zip_tseitin_1 @ Y2 @ Y1 @ X @ F )
<=> ( ( ( apply @ F @ X @ Y1 )
& ( apply @ F @ X @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_0: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [Y2: $i,Y1: $i,X: $i,B: $i,A: $i] :
( ( zip_tseitin_0 @ Y2 @ Y1 @ X @ B @ A )
<=> ( ( member @ X @ A )
& ( member @ Y1 @ B )
& ( member @ Y2 @ B ) ) ) ).
thf(zf_stmt_6,axiom,
! [F: $i,A: $i,B: $i] :
( ( maps @ F @ A @ B )
<=> ( ! [X: $i] : ( zip_tseitin_2 @ X @ B @ A @ F )
& ! [X: $i,Y1: $i,Y2: $i] :
( ( zip_tseitin_0 @ Y2 @ Y1 @ X @ B @ A )
=> ( zip_tseitin_1 @ Y2 @ Y1 @ X @ F ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 )
| ~ ( maps @ X3 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(thII11,conjecture,
! [F: $i,A: $i,B: $i] :
( ( ( maps @ F @ A @ B )
& ( one_to_one @ F @ A @ B ) )
=> ( equal_maps @ ( inverse_function @ ( inverse_function @ F @ A @ B ) @ B @ A ) @ F @ A @ B ) ) ).
thf(zf_stmt_7,negated_conjecture,
~ ! [F: $i,A: $i,B: $i] :
( ( ( maps @ F @ A @ B )
& ( one_to_one @ F @ A @ B ) )
=> ( equal_maps @ ( inverse_function @ ( inverse_function @ F @ A @ B ) @ B @ A ) @ F @ A @ B ) ),
inference('cnf.neg',[status(esa)],[thII11]) ).
thf(zip_derived_cl28,plain,
maps @ sk__8 @ sk__9 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__10 @ sk__9 @ sk__8 ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl28]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X0 @ X1 )
| ( apply @ X2 @ X0 @ ( sk_ @ X2 @ X3 @ X0 ) )
| ~ ( zip_tseitin_2 @ X0 @ X3 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl49,plain,
! [X0: $i] :
( ( apply @ sk__8 @ X0 @ ( sk_ @ sk__8 @ sk__10 @ X0 ) )
| ~ ( member @ X0 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl9]) ).
thf(zip_derived_cl28_006,plain,
maps @ sk__8 @ sk__9 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ~ ( member @ X0 @ X3 )
| ~ ( member @ X1 @ X3 )
| ~ ( member @ X2 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X5 )
| ~ ( maps @ X5 @ X4 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( member @ X2 @ X0 )
| ~ ( member @ X3 @ X1 )
| ~ ( member @ X4 @ X1 )
| ~ ( maps @ X5 @ X0 @ X1 )
| ( zip_tseitin_1 @ X4 @ X3 @ X2 @ X5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl13]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X2 @ X1 @ X0 @ sk__8 )
| ~ ( member @ X2 @ sk__10 )
| ~ ( member @ X1 @ sk__10 )
| ~ ( member @ X0 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl45]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( apply @ X0 @ X1 @ X2 )
| ~ ( apply @ X0 @ X1 @ X3 )
| ( X2 = X3 )
| ~ ( zip_tseitin_1 @ X3 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ sk__9 )
| ~ ( member @ X1 @ sk__10 )
| ~ ( member @ X2 @ sk__10 )
| ( X1 = X2 )
| ~ ( apply @ sk__8 @ X0 @ X2 )
| ~ ( apply @ sk__8 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl4]) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ sk__9 )
| ~ ( apply @ sk__8 @ X0 @ X1 )
| ( X1
= ( sk_ @ sk__8 @ sk__10 @ X0 ) )
| ~ ( member @ ( sk_ @ sk__8 @ sk__10 @ X0 ) @ sk__10 )
| ~ ( member @ X1 @ sk__10 )
| ~ ( member @ X0 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl50]) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ sk__10 )
| ~ ( member @ ( sk_ @ sk__8 @ sk__10 @ X0 ) @ sk__10 )
| ( X1
= ( sk_ @ sk__8 @ sk__10 @ X0 ) )
| ~ ( apply @ sk__8 @ X0 @ X1 )
| ~ ( member @ X0 @ sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl37_007,plain,
! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__10 @ sk__9 @ sk__8 ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl28]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ ( sk_ @ X2 @ X3 @ X0 ) @ X3 )
| ~ ( zip_tseitin_2 @ X0 @ X3 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ( member @ ( sk_ @ sk__8 @ sk__10 @ X0 ) @ sk__10 )
| ~ ( member @ X0 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl8]) ).
thf(zip_derived_cl165,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ sk__9 )
| ~ ( apply @ sk__8 @ X0 @ X1 )
| ( X1
= ( sk_ @ sk__8 @ sk__10 @ X0 ) )
| ~ ( member @ X1 @ sk__10 ) ),
inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl43]) ).
thf(zip_derived_cl220,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( equal_maps @ X0 @ sk__8 @ X1 @ X2 )
| ~ ( member @ ( sk__7 @ X2 @ X1 @ sk__8 @ X0 ) @ sk__10 )
| ( ( sk__7 @ X2 @ X1 @ sk__8 @ X0 )
= ( sk_ @ sk__8 @ sk__10 @ ( sk__5 @ X2 @ X1 @ sk__8 @ X0 ) ) )
| ~ ( member @ ( sk__5 @ X2 @ X1 @ sk__8 @ X0 ) @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl165]) ).
thf(zip_derived_cl1796,plain,
! [X0: $i,X1: $i] :
( ( equal_maps @ X0 @ sk__8 @ X1 @ sk__10 )
| ~ ( member @ ( sk__5 @ sk__10 @ X1 @ sk__8 @ X0 ) @ sk__9 )
| ( ( sk__7 @ sk__10 @ X1 @ sk__8 @ X0 )
= ( sk_ @ sk__8 @ sk__10 @ ( sk__5 @ sk__10 @ X1 @ sk__8 @ X0 ) ) )
| ( equal_maps @ X0 @ sk__8 @ X1 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl220]) ).
thf(zip_derived_cl1798,plain,
! [X0: $i,X1: $i] :
( ( ( sk__7 @ sk__10 @ X1 @ sk__8 @ X0 )
= ( sk_ @ sk__8 @ sk__10 @ ( sk__5 @ sk__10 @ X1 @ sk__8 @ X0 ) ) )
| ~ ( member @ ( sk__5 @ sk__10 @ X1 @ sk__8 @ X0 ) @ sk__9 )
| ( equal_maps @ X0 @ sk__8 @ X1 @ sk__10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1796]) ).
thf(zip_derived_cl1800,plain,
! [X0: $i] :
( ( equal_maps @ X0 @ sk__8 @ sk__9 @ sk__10 )
| ( equal_maps @ X0 @ sk__8 @ sk__9 @ sk__10 )
| ( ( sk__7 @ sk__10 @ sk__9 @ sk__8 @ X0 )
= ( sk_ @ sk__8 @ sk__10 @ ( sk__5 @ sk__10 @ sk__9 @ sk__8 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl1798]) ).
thf(zip_derived_cl1802,plain,
! [X0: $i] :
( ( ( sk__7 @ sk__10 @ sk__9 @ sk__8 @ X0 )
= ( sk_ @ sk__8 @ sk__10 @ ( sk__5 @ sk__10 @ sk__9 @ sk__8 @ X0 ) ) )
| ( equal_maps @ X0 @ sk__8 @ sk__9 @ sk__10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1800]) ).
thf(zip_derived_cl165_008,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ sk__9 )
| ~ ( apply @ sk__8 @ X0 @ X1 )
| ( X1
= ( sk_ @ sk__8 @ sk__10 @ X0 ) )
| ~ ( member @ X1 @ sk__10 ) ),
inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl43]) ).
thf(zip_derived_cl1835,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( sk__7 @ sk__10 @ sk__9 @ sk__8 @ X0 ) )
| ( equal_maps @ X0 @ sk__8 @ sk__9 @ sk__10 )
| ~ ( member @ X1 @ sk__10 )
| ~ ( apply @ sk__8 @ ( sk__5 @ sk__10 @ sk__9 @ sk__8 @ X0 ) @ X1 )
| ~ ( member @ ( sk__5 @ sk__10 @ sk__9 @ sk__8 @ X0 ) @ sk__9 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1802,zip_derived_cl165]) ).
thf(zip_derived_cl19_009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( equal_maps @ X0 @ X1 @ X2 @ X3 )
| ( member @ ( sk__5 @ X3 @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[equal_maps]) ).
thf(zip_derived_cl1982,plain,
! [X0: $i,X1: $i] :
( ~ ( apply @ sk__8 @ ( sk__5 @ sk__10 @ sk__9 @ sk__8 @ X0 ) @ X1 )
| ~ ( member @ X1 @ sk__10 )
| ( equal_maps @ X0 @ sk__8 @ sk__9 @ sk__10 )
| ( X1
= ( sk__7 @ sk__10 @ sk__9 @ sk__8 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1835,zip_derived_cl19]) ).
thf(zip_derived_cl16447,plain,
( ( equal_maps @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) @ sk__8 @ sk__9 @ sk__10 )
| ( ( sk__6 @ sk__10 @ sk__9 @ sk__8 @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) )
= ( sk__7 @ sk__10 @ sk__9 @ sk__8 @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) ) )
| ( equal_maps @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) @ sk__8 @ sk__9 @ sk__10 )
| ~ ( member @ ( sk__6 @ sk__10 @ sk__9 @ sk__8 @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) ) @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16414,zip_derived_cl1982]) ).
thf(zip_derived_cl30,plain,
~ ( equal_maps @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) @ sk__8 @ sk__9 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl30_010,plain,
~ ( equal_maps @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) @ sk__8 @ sk__9 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl16473,plain,
( ( ( sk__6 @ sk__10 @ sk__9 @ sk__8 @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) )
= ( sk__7 @ sk__10 @ sk__9 @ sk__8 @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) ) )
| ~ ( member @ ( sk__6 @ sk__10 @ sk__9 @ sk__8 @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) ) @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl16447,zip_derived_cl30,zip_derived_cl30]) ).
thf(zip_derived_cl16525,plain,
( ( equal_maps @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) @ sk__8 @ sk__9 @ sk__10 )
| ( ( sk__6 @ sk__10 @ sk__9 @ sk__8 @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) )
= ( sk__7 @ sk__10 @ sk__9 @ sk__8 @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl16473]) ).
thf(zip_derived_cl30_011,plain,
~ ( equal_maps @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) @ sk__8 @ sk__9 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl16528,plain,
( ( sk__6 @ sk__10 @ sk__9 @ sk__8 @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) )
= ( sk__7 @ sk__10 @ sk__9 @ sk__8 @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16525,zip_derived_cl30]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( equal_maps @ X0 @ X1 @ X2 @ X3 )
| ( ( sk__6 @ X3 @ X2 @ X1 @ X0 )
!= ( sk__7 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[equal_maps]) ).
thf(zip_derived_cl16533,plain,
( ( ( sk__7 @ sk__10 @ sk__9 @ sk__8 @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) )
!= ( sk__7 @ sk__10 @ sk__9 @ sk__8 @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) ) )
| ( equal_maps @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) @ sk__8 @ sk__9 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16528,zip_derived_cl21]) ).
thf(zip_derived_cl30_012,plain,
~ ( equal_maps @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) @ sk__8 @ sk__9 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl16574,plain,
( ( sk__7 @ sk__10 @ sk__9 @ sk__8 @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) )
!= ( sk__7 @ sk__10 @ sk__9 @ sk__8 @ ( inverse_function @ ( inverse_function @ sk__8 @ sk__9 @ sk__10 ) @ sk__10 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16533,zip_derived_cl30]) ).
thf(zip_derived_cl16575,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl16574]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET720+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IWsWMCC4tO true
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sat Aug 26 13:16:15 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Running portfolio for 300 s
% 0.11/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.19/0.61 % Total configuration time : 435
% 0.19/0.61 % Estimated wc time : 1092
% 0.19/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 77.21/11.73 % Solved by fo/fo4.sh.
% 77.21/11.73 % done 1983 iterations in 10.909s
% 77.21/11.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 77.21/11.73 % SZS output start Refutation
% See solution above
% 77.21/11.74
% 77.21/11.74
% 77.21/11.74 % Terminating...
% 77.71/11.86 % Runner terminated.
% 77.71/11.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------