TSTP Solution File: SWC265+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC265+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.csmbxLnlvv true
% Computer : n025.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 21:30:20 EDT 2023
% Result : Theorem 65.80s 10.05s
% Output : Refutation 65.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 26
% Syntax : Number of formulae : 129 ( 35 unt; 16 typ; 0 def)
% Number of atoms : 417 ( 26 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1484 ( 242 ~; 255 |; 15 &; 938 @)
% ( 4 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 4 con; 0-2 aty)
% Number of variables : 139 ( 0 ^; 131 !; 8 ?; 139 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__27_type,type,
sk__27: $i > $i ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__24_type,type,
sk__24: $i > $i ).
thf(totalorderedP_type,type,
totalorderedP: $i > $o ).
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__26_type,type,
sk__26: $i > $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(sk__28_type,type,
sk__28: $i > $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__25_type,type,
sk__25: $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] :
( ( totalorderedP @ U )
| ? [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 ) )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( totalorderedP @ U )
| ? [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 ) )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl192,plain,
~ ( totalorderedP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax11,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( totalorderedP @ 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 )
=> ( leq @ V @ W ) ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i] :
( ( ssItem @ ( sk__24 @ X0 ) )
| ( totalorderedP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax11]) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ( ssItem @ ( sk__25 @ X0 ) )
| ( totalorderedP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax11]) ).
thf(zip_derived_cl49_001,plain,
! [X0: $i] :
( ( ssItem @ ( sk__24 @ X0 ) )
| ( totalorderedP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax11]) ).
thf(zip_derived_cl54,plain,
! [X0: $i] :
( ( ssList @ ( sk__27 @ X0 ) )
| ( totalorderedP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax11]) ).
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_cl2171,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_cl2172,plain,
! [X0: $i,X1: $i] :
( ( memberP @ ( cons @ X0 @ X1 ) @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2171]) ).
thf(zip_derived_cl49_002,plain,
! [X0: $i] :
( ( ssItem @ ( sk__24 @ X0 ) )
| ( totalorderedP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax11]) ).
thf(zip_derived_cl54_003,plain,
! [X0: $i] :
( ( ssList @ ( sk__27 @ X0 ) )
| ( totalorderedP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax11]) ).
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_cl50,plain,
! [X0: $i] :
( ( ssList @ ( sk__26 @ X0 ) )
| ( totalorderedP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax11]) ).
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_cl49_004,plain,
! [X0: $i] :
( ( ssItem @ ( sk__24 @ X0 ) )
| ( totalorderedP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax11]) ).
thf(zip_derived_cl54_005,plain,
! [X0: $i] :
( ( ssList @ ( sk__27 @ X0 ) )
| ( totalorderedP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax11]) ).
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_cl50_007,plain,
! [X0: $i] :
( ( ssList @ ( sk__26 @ X0 ) )
| ( totalorderedP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax11]) ).
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_cl55_008,plain,
! [X0: $i] :
( ( ssItem @ ( sk__25 @ X0 ) )
| ( totalorderedP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax11]) ).
thf(zip_derived_cl51,plain,
! [X0: $i] :
( ( ssList @ ( sk__28 @ X0 ) )
| ( totalorderedP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax11]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ( ( app @ ( app @ ( sk__26 @ X0 ) @ ( cons @ ( sk__24 @ X0 ) @ ( sk__27 @ X0 ) ) ) @ ( cons @ ( sk__25 @ X0 ) @ ( sk__28 @ X0 ) ) )
= X0 )
| ( totalorderedP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax11]) ).
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_009,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_cl2980,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_cl2984,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_cl2980]) ).
thf(zip_derived_cl2993,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_cl2984]) ).
thf(zip_derived_cl5272,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_cl2993]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl5275,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_cl5272,zip_derived_cl83]) ).
thf(zip_derived_cl5276,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_cl5275]) ).
thf(zip_derived_cl6584,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_cl5276]) ).
thf(zip_derived_cl6592,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_cl6584]) ).
thf(zip_derived_cl10815,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( totalorderedP @ X0 )
| ( X0 != sk__47 )
| ~ ( memberP @ ( app @ ( sk__26 @ X0 ) @ ( cons @ ( sk__24 @ X0 ) @ ( sk__27 @ X0 ) ) ) @ X1 )
| ( lt @ X1 @ ( sk__25 @ X0 ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ ( app @ ( sk__26 @ X0 ) @ ( cons @ ( sk__24 @ X0 ) @ ( sk__27 @ X0 ) ) ) )
| ~ ( ssItem @ ( sk__25 @ X0 ) )
| ~ ( ssList @ ( sk__28 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl6592]) ).
thf(zip_derived_cl26573,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__28 @ sk__47 ) )
| ~ ( ssItem @ ( sk__25 @ sk__47 ) )
| ~ ( ssList @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 )
| ( totalorderedP @ sk__47 )
| ~ ( ssList @ sk__47 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl10815]) ).
thf(zip_derived_cl192_010,plain,
~ ( totalorderedP @ 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_cl26574,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__28 @ sk__47 ) )
| ~ ( ssItem @ ( sk__25 @ sk__47 ) )
| ~ ( ssList @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl26573,zip_derived_cl192,zip_derived_cl190]) ).
thf(zip_derived_cl26644,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ( totalorderedP @ sk__47 )
| ~ ( ssItem @ ( sk__25 @ sk__47 ) )
| ~ ( ssList @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl26574]) ).
thf(zip_derived_cl190_011,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_012,plain,
~ ( totalorderedP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26645,plain,
! [X0: $i] :
( ~ ( ssItem @ ( sk__25 @ sk__47 ) )
| ~ ( ssList @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl26644,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl26690,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ( totalorderedP @ sk__47 )
| ~ ( ssList @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl26645]) ).
thf(zip_derived_cl190_013,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_014,plain,
~ ( totalorderedP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26691,plain,
! [X0: $i] :
( ~ ( ssList @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl26690,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl26808,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__26 @ sk__47 ) )
| ~ ( ssList @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl26691]) ).
thf(zip_derived_cl26864,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ( totalorderedP @ sk__47 )
| ~ ( ssList @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl26808]) ).
thf(zip_derived_cl190_015,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_016,plain,
~ ( totalorderedP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26865,plain,
! [X0: $i] :
( ~ ( ssList @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl26864,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl27181,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__27 @ sk__47 ) )
| ~ ( ssItem @ ( sk__24 @ sk__47 ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl26865]) ).
thf(zip_derived_cl27197,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ( totalorderedP @ sk__47 )
| ~ ( ssItem @ ( sk__24 @ sk__47 ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl27181]) ).
thf(zip_derived_cl190_017,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_018,plain,
~ ( totalorderedP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27198,plain,
! [X0: $i] :
( ~ ( ssItem @ ( sk__24 @ sk__47 ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl27197,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl27253,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ( totalorderedP @ sk__47 )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl27198]) ).
thf(zip_derived_cl190_019,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_020,plain,
~ ( totalorderedP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27254,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl27253,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl27732,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) )
| ~ ( memberP @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) @ X0 )
| ~ ( ssList @ ( sk__26 @ sk__47 ) )
| ~ ( ssItem @ X0 )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl27254]) ).
thf(zip_derived_cl27736,plain,
! [X0: $i] :
( ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( ssList @ ( sk__26 @ sk__47 ) )
| ~ ( memberP @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) @ X0 )
| ~ ( ssList @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27732]) ).
thf(zip_derived_cl27806,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ( totalorderedP @ sk__47 )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) @ X0 )
| ~ ( ssList @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl27736]) ).
thf(zip_derived_cl190_021,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_022,plain,
~ ( totalorderedP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27807,plain,
! [X0: $i] :
( ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) @ X0 )
| ~ ( ssList @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl27806,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl27892,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__27 @ sk__47 ) )
| ~ ( ssItem @ ( sk__24 @ sk__47 ) )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) @ X0 )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl27807]) ).
thf(zip_derived_cl27948,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ( totalorderedP @ sk__47 )
| ~ ( ssItem @ ( sk__24 @ sk__47 ) )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) @ X0 )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl27892]) ).
thf(zip_derived_cl190_023,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_024,plain,
~ ( totalorderedP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27949,plain,
! [X0: $i] :
( ~ ( ssItem @ ( sk__24 @ sk__47 ) )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl27948,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl27951,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ( totalorderedP @ sk__47 )
| ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) @ X0 )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl27949]) ).
thf(zip_derived_cl190_025,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_026,plain,
~ ( totalorderedP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27952,plain,
! [X0: $i] :
( ( lt @ X0 @ ( sk__25 @ sk__47 ) )
| ~ ( memberP @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl27951,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl27955,plain,
( ~ ( ssItem @ ( sk__24 @ sk__47 ) )
| ~ ( ssList @ ( sk__27 @ sk__47 ) )
| ( lt @ ( sk__24 @ sk__47 ) @ ( sk__25 @ sk__47 ) )
| ~ ( ssItem @ ( sk__24 @ sk__47 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2172,zip_derived_cl27952]) ).
thf(zip_derived_cl27958,plain,
( ( lt @ ( sk__24 @ sk__47 ) @ ( sk__25 @ sk__47 ) )
| ~ ( ssList @ ( sk__27 @ sk__47 ) )
| ~ ( ssItem @ ( sk__24 @ sk__47 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27955]) ).
thf(zip_derived_cl27960,plain,
( ~ ( ssList @ sk__47 )
| ( totalorderedP @ sk__47 )
| ( lt @ ( sk__24 @ sk__47 ) @ ( sk__25 @ sk__47 ) )
| ~ ( ssItem @ ( sk__24 @ sk__47 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl27958]) ).
thf(zip_derived_cl190_027,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_028,plain,
~ ( totalorderedP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27961,plain,
( ( lt @ ( sk__24 @ sk__47 ) @ ( sk__25 @ sk__47 ) )
| ~ ( ssItem @ ( sk__24 @ sk__47 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27960,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl28043,plain,
( ~ ( ssList @ sk__47 )
| ( totalorderedP @ sk__47 )
| ( lt @ ( sk__24 @ sk__47 ) @ ( sk__25 @ sk__47 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl27961]) ).
thf(zip_derived_cl190_029,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_030,plain,
~ ( totalorderedP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28044,plain,
lt @ ( sk__24 @ sk__47 ) @ ( sk__25 @ sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl28043,zip_derived_cl190,zip_derived_cl192]) ).
thf(ax93,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( lt @ U @ V )
<=> ( ( U != V )
& ( leq @ U @ V ) ) ) ) ) ).
thf(zip_derived_cl186,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( lt @ X1 @ X0 )
| ( leq @ X1 @ X0 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[ax93]) ).
thf(zip_derived_cl28048,plain,
( ~ ( ssItem @ ( sk__25 @ sk__47 ) )
| ( leq @ ( sk__24 @ sk__47 ) @ ( sk__25 @ sk__47 ) )
| ~ ( ssItem @ ( sk__24 @ sk__47 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28044,zip_derived_cl186]) ).
thf(zip_derived_cl28049,plain,
( ~ ( ssList @ sk__47 )
| ( totalorderedP @ sk__47 )
| ( leq @ ( sk__24 @ sk__47 ) @ ( sk__25 @ sk__47 ) )
| ~ ( ssItem @ ( sk__24 @ sk__47 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl28048]) ).
thf(zip_derived_cl190_031,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_032,plain,
~ ( totalorderedP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28050,plain,
( ( leq @ ( sk__24 @ sk__47 ) @ ( sk__25 @ sk__47 ) )
| ~ ( ssItem @ ( sk__24 @ sk__47 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28049,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl28104,plain,
( ~ ( ssList @ sk__47 )
| ( totalorderedP @ sk__47 )
| ( leq @ ( sk__24 @ sk__47 ) @ ( sk__25 @ sk__47 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl28050]) ).
thf(zip_derived_cl190_033,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_034,plain,
~ ( totalorderedP @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28105,plain,
leq @ ( sk__24 @ sk__47 ) @ ( sk__25 @ sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl28104,zip_derived_cl190,zip_derived_cl192]) ).
thf(zip_derived_cl53,plain,
! [X0: $i] :
( ~ ( leq @ ( sk__24 @ X0 ) @ ( sk__25 @ X0 ) )
| ( totalorderedP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax11]) ).
thf(zip_derived_cl28114,plain,
( ( totalorderedP @ sk__47 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28105,zip_derived_cl53]) ).
thf(zip_derived_cl190_035,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28115,plain,
totalorderedP @ sk__47,
inference(demod,[status(thm)],[zip_derived_cl28114,zip_derived_cl190]) ).
thf(zip_derived_cl28116,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl28115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC265+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.csmbxLnlvv true
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 16:42:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.19/0.64 % Total configuration time : 435
% 0.19/0.64 % Estimated wc time : 1092
% 0.19/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.98/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 65.80/10.05 % Solved by fo/fo6_bce.sh.
% 65.80/10.05 % BCE start: 199
% 65.80/10.05 % BCE eliminated: 6
% 65.80/10.05 % PE start: 193
% 65.80/10.05 logic: eq
% 65.80/10.05 % PE eliminated: 6
% 65.80/10.05 % done 4819 iterations in 9.324s
% 65.80/10.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 65.80/10.05 % SZS output start Refutation
% See solution above
% 65.80/10.05
% 65.80/10.05
% 65.80/10.05 % Terminating...
% 66.27/10.16 % Runner terminated.
% 66.27/10.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------