TSTP Solution File: SWC180+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC180+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gqWngCebvR true
% Computer : n012.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 21:29:41 EDT 2023
% Result : Theorem 79.34s 12.13s
% Output : Refutation 79.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 25
% Syntax : Number of formulae : 123 ( 34 unt; 15 typ; 0 def)
% Number of atoms : 399 ( 27 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1426 ( 233 ~; 243 |; 14 &; 902 @)
% ( 3 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 4 con; 0-2 aty)
% Number of variables : 136 ( 0 ^; 128 !; 8 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
thf(duplicatefreeP_type,type,
duplicatefreeP: $i > $o ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__35_type,type,
sk__35: $i > $i ).
thf(sk__38_type,type,
sk__38: $i > $i ).
thf(nil_type,type,
nil: $i ).
thf(lt_type,type,
lt: $i > $i > $o ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__37_type,type,
sk__37: $i > $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(sk__36_type,type,
sk__36: $i > $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__34_type,type,
sk__34: $i > $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ? [X2: $i] :
( ( ( ( memberP @ Z @ X2 )
& ~ ( lt @ X2 @ Y ) )
| ( ( memberP @ X1 @ X2 )
& ~ ( lt @ Y @ X2 ) ) )
& ( ssItem @ X2 ) )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= W )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ( duplicatefreeP @ U ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ? [X2: $i] :
( ( ( ( memberP @ Z @ X2 )
& ~ ( lt @ X2 @ Y ) )
| ( ( memberP @ X1 @ X2 )
& ~ ( lt @ Y @ X2 ) ) )
& ( ssItem @ X2 ) )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= W )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ( duplicatefreeP @ U ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl192,plain,
~ ( duplicatefreeP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax13,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( duplicatefreeP @ U )
<=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ( ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
= U )
=> ( V != W ) ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl65,plain,
! [X0: $i] :
( ( ssItem @ ( sk__34 @ X0 ) )
| ( duplicatefreeP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl69,plain,
! [X0: $i] :
( ( ( sk__34 @ X0 )
= ( sk__35 @ X0 ) )
| ( duplicatefreeP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl65_001,plain,
! [X0: $i] :
( ( ssItem @ ( sk__34 @ X0 ) )
| ( duplicatefreeP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl70,plain,
! [X0: $i] :
( ( ssList @ ( sk__37 @ X0 ) )
| ( duplicatefreeP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(ax37,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( memberP @ ( cons @ V @ W ) @ U )
<=> ( ( U = V )
| ( memberP @ W @ U ) ) ) ) ) ) ).
thf(zip_derived_cl111,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ( X1 != X0 )
| ( memberP @ ( cons @ X0 @ X2 ) @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl2120,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( memberP @ ( cons @ X0 @ X1 ) @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl2121,plain,
! [X0: $i,X1: $i] :
( ( memberP @ ( cons @ X0 @ X1 ) @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2120]) ).
thf(zip_derived_cl65_002,plain,
! [X0: $i] :
( ( ssItem @ ( sk__34 @ X0 ) )
| ( duplicatefreeP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl70_003,plain,
! [X0: $i] :
( ( ssList @ ( sk__37 @ X0 ) )
| ( duplicatefreeP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ( ssList @ ( sk__36 @ X0 ) )
| ( duplicatefreeP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(ax36,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( memberP @ ( app @ V @ W ) @ U )
<=> ( ( memberP @ V @ U )
| ( memberP @ W @ U ) ) ) ) ) ) ).
thf(zip_derived_cl109,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X1 @ X2 )
| ( memberP @ ( app @ X0 @ X1 ) @ X2 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl65_004,plain,
! [X0: $i] :
( ( ssItem @ ( sk__34 @ X0 ) )
| ( duplicatefreeP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl70_005,plain,
! [X0: $i] :
( ( ssList @ ( sk__37 @ X0 ) )
| ( duplicatefreeP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl82_006,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl66_007,plain,
! [X0: $i] :
( ( ssList @ ( sk__36 @ X0 ) )
| ( duplicatefreeP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(ax26,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ssList @ ( app @ U @ V ) ) ) ) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax26]) ).
thf(zip_derived_cl71,plain,
! [X0: $i] :
( ( ssItem @ ( sk__35 @ X0 ) )
| ( duplicatefreeP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( ( ssList @ ( sk__38 @ X0 ) )
| ( duplicatefreeP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ( ( app @ ( app @ ( sk__36 @ X0 ) @ ( cons @ ( sk__34 @ X0 ) @ ( sk__37 @ X0 ) ) ) @ ( cons @ ( sk__35 @ X0 ) @ ( sk__38 @ X0 ) ) )
= X0 )
| ( duplicatefreeP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(ax81,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
= ( app @ ( cons @ V @ nil ) @ U ) ) ) ) ).
thf(zip_derived_cl171,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
= ( app @ ( cons @ X0 @ nil ) @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax81]) ).
thf(zip_derived_cl82_008,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(ax82,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( app @ ( app @ U @ V ) @ W )
= ( app @ U @ ( app @ V @ W ) ) ) ) ) ) ).
thf(zip_derived_cl172,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ ( app @ X1 @ X0 ) @ X2 )
= ( app @ X1 @ ( app @ X0 @ X2 ) ) )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax82]) ).
thf(zip_derived_cl193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( lt @ X1 @ X2 )
| ~ ( memberP @ X0 @ X1 )
| ( ( app @ ( app @ X0 @ ( cons @ X2 @ nil ) ) @ X3 )
!= sk__49 )
| ~ ( ssList @ X3 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl195,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( lt @ X1 @ X2 )
| ~ ( memberP @ X0 @ X1 )
| ( ( app @ ( app @ X0 @ ( cons @ X2 @ nil ) ) @ X3 )
!= sk__47 )
| ~ ( ssList @ X3 )
| ~ ( ssItem @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl195]) ).
thf(zip_derived_cl3348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X2 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ ( cons @ X1 @ nil ) )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X3 )
| ( lt @ X3 @ X1 )
| ~ ( memberP @ X2 @ X3 )
| ( ( app @ X2 @ ( app @ ( cons @ X1 @ nil ) @ X0 ) )
!= sk__47 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl3344]) ).
thf(zip_derived_cl3359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssItem @ X1 )
| ( ( app @ X2 @ ( app @ ( cons @ X1 @ nil ) @ X0 ) )
!= sk__47 )
| ~ ( memberP @ X2 @ X3 )
| ( lt @ X3 @ X1 )
| ~ ( ssItem @ X3 )
| ~ ( ssList @ ( cons @ X1 @ nil ) )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3348]) ).
thf(zip_derived_cl5281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ~ ( ssItem @ X0 )
| ( ( app @ X2 @ ( app @ ( cons @ X0 @ nil ) @ X1 ) )
!= sk__47 )
| ~ ( memberP @ X2 @ X3 )
| ( lt @ X3 @ X0 )
| ~ ( ssItem @ X3 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl3359]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl5284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssItem @ X0 )
| ( ( app @ X2 @ ( app @ ( cons @ X0 @ nil ) @ X1 ) )
!= sk__47 )
| ~ ( memberP @ X2 @ X3 )
| ( lt @ X3 @ X0 )
| ~ ( ssItem @ X3 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl5281,zip_derived_cl83]) ).
thf(zip_derived_cl5285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X2 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X3 )
| ( lt @ X3 @ X0 )
| ~ ( memberP @ X2 @ X3 )
| ( ( app @ X2 @ ( app @ ( cons @ X0 @ nil ) @ X1 ) )
!= sk__47 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5284]) ).
thf(zip_derived_cl7076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X3 )
| ( lt @ X3 @ X1 )
| ~ ( memberP @ X2 @ X3 )
| ( ( app @ X2 @ ( cons @ X1 @ X0 ) )
!= sk__47 )
| ~ ( ssItem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl5285]) ).
thf(zip_derived_cl7085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( app @ X2 @ ( cons @ X1 @ X0 ) )
!= sk__47 )
| ~ ( memberP @ X2 @ X3 )
| ( lt @ X3 @ X1 )
| ~ ( ssItem @ X3 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7076]) ).
thf(zip_derived_cl11617,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( duplicatefreeP @ X0 )
| ( X0 != sk__47 )
| ~ ( memberP @ ( app @ ( sk__36 @ X0 ) @ ( cons @ ( sk__34 @ X0 ) @ ( sk__37 @ X0 ) ) ) @ X1 )
| ( lt @ X1 @ ( sk__35 @ X0 ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ ( app @ ( sk__36 @ X0 ) @ ( cons @ ( sk__34 @ X0 ) @ ( sk__37 @ X0 ) ) ) )
| ~ ( ssItem @ ( sk__35 @ X0 ) )
| ~ ( ssList @ ( sk__38 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl7085]) ).
thf(zip_derived_cl28237,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__38 @ sk__47 ) )
| ~ ( ssItem @ ( sk__35 @ sk__47 ) )
| ~ ( ssList @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) @ X0 )
| ( duplicatefreeP @ sk__47 )
| ~ ( ssList @ sk__47 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl11617]) ).
thf(zip_derived_cl192_009,plain,
~ ( duplicatefreeP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28238,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__38 @ sk__47 ) )
| ~ ( ssItem @ ( sk__35 @ sk__47 ) )
| ~ ( ssList @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl28237,zip_derived_cl192,zip_derived_cl190]) ).
thf(zip_derived_cl28271,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ( duplicatefreeP @ sk__47 )
| ~ ( ssItem @ ( sk__35 @ sk__47 ) )
| ~ ( ssList @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl28238]) ).
thf(zip_derived_cl190_010,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_011,plain,
~ ( duplicatefreeP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28272,plain,
! [X0: $i] :
( ~ ( ssItem @ ( sk__35 @ sk__47 ) )
| ~ ( ssList @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl28271,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl28294,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ( duplicatefreeP @ sk__47 )
| ~ ( ssList @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl28272]) ).
thf(zip_derived_cl190_012,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_013,plain,
~ ( duplicatefreeP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28296,plain,
! [X0: $i] :
( ~ ( ssList @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl28294,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl28555,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__36 @ sk__47 ) )
| ~ ( ssList @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl28296]) ).
thf(zip_derived_cl28612,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ( duplicatefreeP @ sk__47 )
| ~ ( ssList @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl28555]) ).
thf(zip_derived_cl190_014,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_015,plain,
~ ( duplicatefreeP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28613,plain,
! [X0: $i] :
( ~ ( ssList @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl28612,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl28620,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__37 @ sk__47 ) )
| ~ ( ssItem @ ( sk__34 @ sk__47 ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl28613]) ).
thf(zip_derived_cl28636,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ( duplicatefreeP @ sk__47 )
| ~ ( ssItem @ ( sk__34 @ sk__47 ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl28620]) ).
thf(zip_derived_cl190_016,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_017,plain,
~ ( duplicatefreeP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28637,plain,
! [X0: $i] :
( ~ ( ssItem @ ( sk__34 @ sk__47 ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl28636,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl28703,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ( duplicatefreeP @ sk__47 )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl28637]) ).
thf(zip_derived_cl190_018,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_019,plain,
~ ( duplicatefreeP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28704,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__36 @ sk__47 ) @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl28703,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl29483,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) )
| ~ ( memberP @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) @ X0 )
| ~ ( ssList @ ( sk__36 @ sk__47 ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl28704]) ).
thf(zip_derived_cl29487,plain,
! [X0: $i] :
( ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( ssList @ ( sk__36 @ sk__47 ) )
| ~ ( memberP @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) @ X0 )
| ~ ( ssList @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29483]) ).
thf(zip_derived_cl29551,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ( duplicatefreeP @ sk__47 )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) @ X0 )
| ~ ( ssList @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl29487]) ).
thf(zip_derived_cl190_020,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_021,plain,
~ ( duplicatefreeP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29552,plain,
! [X0: $i] :
( ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) @ X0 )
| ~ ( ssList @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl29551,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl29666,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__37 @ sk__47 ) )
| ~ ( ssItem @ ( sk__34 @ sk__47 ) )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) @ X0 )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl29552]) ).
thf(zip_derived_cl29811,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ( duplicatefreeP @ sk__47 )
| ~ ( ssItem @ ( sk__34 @ sk__47 ) )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) @ X0 )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl29666]) ).
thf(zip_derived_cl190_022,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_023,plain,
~ ( duplicatefreeP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29812,plain,
! [X0: $i] :
( ~ ( ssItem @ ( sk__34 @ sk__47 ) )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl29811,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl29900,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ( duplicatefreeP @ sk__47 )
| ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) @ X0 )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl29812]) ).
thf(zip_derived_cl190_024,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_025,plain,
~ ( duplicatefreeP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29901,plain,
! [X0: $i] :
( ( lt @ X0 @ ( sk__35 @ sk__47 ) )
| ~ ( memberP @ ( cons @ ( sk__34 @ sk__47 ) @ ( sk__37 @ sk__47 ) ) @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl29900,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl31279,plain,
( ~ ( ssItem @ ( sk__34 @ sk__47 ) )
| ~ ( ssList @ ( sk__37 @ sk__47 ) )
| ( lt @ ( sk__34 @ sk__47 ) @ ( sk__35 @ sk__47 ) )
| ~ ( ssItem @ ( sk__34 @ sk__47 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2121,zip_derived_cl29901]) ).
thf(zip_derived_cl31282,plain,
( ( lt @ ( sk__34 @ sk__47 ) @ ( sk__35 @ sk__47 ) )
| ~ ( ssList @ ( sk__37 @ sk__47 ) )
| ~ ( ssItem @ ( sk__34 @ sk__47 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl31279]) ).
thf(zip_derived_cl31338,plain,
( ~ ( ssList @ sk__47 )
| ( duplicatefreeP @ sk__47 )
| ( lt @ ( sk__34 @ sk__47 ) @ ( sk__35 @ sk__47 ) )
| ~ ( ssItem @ ( sk__34 @ sk__47 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl31282]) ).
thf(zip_derived_cl190_026,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_027,plain,
~ ( duplicatefreeP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31339,plain,
( ( lt @ ( sk__34 @ sk__47 ) @ ( sk__35 @ sk__47 ) )
| ~ ( ssItem @ ( sk__34 @ sk__47 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl31338,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl31363,plain,
( ~ ( ssList @ sk__47 )
| ( duplicatefreeP @ sk__47 )
| ( lt @ ( sk__34 @ sk__47 ) @ ( sk__35 @ sk__47 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl31339]) ).
thf(zip_derived_cl190_028,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_029,plain,
~ ( duplicatefreeP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31364,plain,
lt @ ( sk__34 @ sk__47 ) @ ( sk__35 @ sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl31363,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl31380,plain,
( ~ ( ssList @ sk__47 )
| ( duplicatefreeP @ sk__47 )
| ( lt @ ( sk__34 @ sk__47 ) @ ( sk__34 @ sk__47 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl69,zip_derived_cl31364]) ).
thf(zip_derived_cl190_030,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_031,plain,
~ ( duplicatefreeP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31381,plain,
lt @ ( sk__34 @ sk__47 ) @ ( sk__34 @ sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl31380,zip_derived_cl190,zip_derived_cl192]) ).
thf(ax90,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ~ ( lt @ U @ U ) ) ).
thf(zip_derived_cl182,plain,
! [X0: $i] :
( ~ ( lt @ X0 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax90]) ).
thf(zip_derived_cl31386,plain,
~ ( ssItem @ ( sk__34 @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31381,zip_derived_cl182]) ).
thf(zip_derived_cl31403,plain,
( ~ ( ssList @ sk__47 )
| ( duplicatefreeP @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl31386]) ).
thf(zip_derived_cl190_032,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31404,plain,
duplicatefreeP @ sk__47,
inference(demod,[status(thm)],[zip_derived_cl31403,zip_derived_cl190]) ).
thf(zip_derived_cl31405,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl31404]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC180+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gqWngCebvR true
% 0.13/0.35 % Computer : n012.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 : Mon Aug 28 16:06:54 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 79.34/12.13 % Solved by fo/fo6_bce.sh.
% 79.34/12.13 % BCE start: 199
% 79.34/12.13 % BCE eliminated: 6
% 79.34/12.13 % PE start: 193
% 79.34/12.13 logic: eq
% 79.34/12.13 % PE eliminated: 5
% 79.34/12.13 % done 5522 iterations in 11.402s
% 79.34/12.13 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 79.34/12.13 % SZS output start Refutation
% See solution above
% 79.34/12.13
% 79.34/12.13
% 79.34/12.13 % Terminating...
% 80.10/12.18 % Runner terminated.
% 80.10/12.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------