TSTP Solution File: SWC308+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC308+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uHgWIKfq1l true
% Computer : n009.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 21:30:38 EDT 2023
% Result : Theorem 5.64s 1.37s
% Output : Refutation 5.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 24
% Syntax : Number of formulae : 120 ( 23 unt; 14 typ; 0 def)
% Number of atoms : 400 ( 153 equ; 0 cnn)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 1117 ( 232 ~; 240 |; 29 &; 591 @)
% ( 2 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 132 ( 0 ^; 119 !; 13 ?; 132 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__48_type,type,
sk__48: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(hd_type,type,
hd: $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(tl_type,type,
tl: $i > $i ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(sk__50_type,type,
sk__50: $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(singletonP_type,type,
singletonP: $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 )
| ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ( neq @ nil @ V )
& ? [X2: $i] :
( ( neq @ nil @ V )
& ( ( hd @ V )
= X2 )
& ( ( cons @ X2 @ nil )
= X1 )
& ( ssItem @ X2 ) )
& ( ( app @ Z @ X1 )
= Y )
& ( ( tl @ V )
= Z )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( U = Y )
& ( ssList @ Y ) )
| ? [X3: $i] :
( ? [X4: $i] :
( ( ( app @ ( cons @ X3 @ nil ) @ X4 )
= X )
& ( ( app @ X4 @ ( cons @ X3 @ nil ) )
!= W )
& ( ssList @ X4 ) )
& ( ssItem @ X3 ) )
| ( ( nil != W )
& ( nil = X ) ) ) ) ) ) ) ).
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 )
| ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ( neq @ nil @ V )
& ? [X2: $i] :
( ( neq @ nil @ V )
& ( ( hd @ V )
= X2 )
& ( ( cons @ X2 @ nil )
= X1 )
& ( ssItem @ X2 ) )
& ( ( app @ Z @ X1 )
= Y )
& ( ( tl @ V )
= Z )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( U = Y )
& ( ssList @ Y ) )
| ? [X3: $i] :
( ? [X4: $i] :
( ( ( app @ ( cons @ X3 @ nil ) @ X4 )
= X )
& ( ( app @ X4 @ ( cons @ X3 @ nil ) )
!= W )
& ( ssList @ X4 ) )
& ( ssItem @ X3 ) )
| ( ( nil != W )
& ( nil = X ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl193,plain,
neq @ sk__48 @ nil,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax22,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssItem @ ( hd @ U ) ) ) ) ).
thf(zip_derived_cl91,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(ax78,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ( cons @ ( hd @ U ) @ ( tl @ U ) )
= U ) ) ) ).
thf(zip_derived_cl168,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax78]) ).
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_cl196,plain,
! [X4: $i,X5: $i] :
( ~ ( ssList @ X4 )
| ( ( app @ X4 @ ( cons @ X5 @ nil ) )
= sk__49 )
| ( ( app @ ( cons @ X5 @ nil ) @ X4 )
!= sk__50 )
| ~ ( ssItem @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl197,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203,plain,
! [X4: $i,X5: $i] :
( ~ ( ssList @ X4 )
| ( ( app @ X4 @ ( cons @ X5 @ nil ) )
= sk__47 )
| ( ( app @ ( cons @ X5 @ nil ) @ X4 )
!= sk__48 )
| ~ ( ssItem @ X5 ) ),
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl194,zip_derived_cl197]) ).
thf(zip_derived_cl1309,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ( ( app @ X0 @ ( cons @ X1 @ nil ) )
= sk__47 )
| ( ( cons @ X1 @ X0 )
!= sk__48 )
| ~ ( ssItem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl203]) ).
thf(zip_derived_cl1313,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
!= sk__48 )
| ( ( app @ X0 @ ( cons @ X1 @ nil ) )
= sk__47 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1309]) ).
thf(zip_derived_cl1507,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( X0 != sk__48 )
| ( ( app @ ( tl @ X0 ) @ ( cons @ ( hd @ X0 ) @ nil ) )
= sk__47 )
| ~ ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ ( tl @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl1313]) ).
thf(zip_derived_cl91_001,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl3292,plain,
! [X0: $i] :
( ~ ( ssList @ ( tl @ X0 ) )
| ( ( app @ ( tl @ X0 ) @ ( cons @ ( hd @ X0 ) @ nil ) )
= sk__47 )
| ( X0 != sk__48 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1507,zip_derived_cl91]) ).
thf(ax24,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssList @ ( tl @ U ) ) ) ) ).
thf(zip_derived_cl93,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3293,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( X0 != sk__48 )
| ( ( app @ ( tl @ X0 ) @ ( cons @ ( hd @ X0 ) @ nil ) )
= sk__47 ) ),
inference(clc,[status(thm)],[zip_derived_cl3292,zip_derived_cl93]) ).
thf(zip_derived_cl3300,plain,
( ( ( app @ ( tl @ sk__48 ) @ ( cons @ ( hd @ sk__48 ) @ nil ) )
= sk__47 )
| ( nil = sk__48 )
| ~ ( ssList @ sk__48 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3293]) ).
thf(zip_derived_cl198,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl197_002,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl201,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl3301,plain,
( ( ( app @ ( tl @ sk__48 ) @ ( cons @ ( hd @ sk__48 ) @ nil ) )
= sk__47 )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl3300,zip_derived_cl201]) ).
thf(zip_derived_cl91_003,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl93_004,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ nil @ sk__48 )
| ( ( tl @ sk__48 )
!= X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ( ( hd @ sk__48 )
!= X1 )
| ~ ( neq @ nil @ sk__48 )
| ( ( app @ X0 @ X2 )
!= X3 )
| ~ ( ssList @ X2 )
| ( sk__47 != X3 )
| ~ ( ssList @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X3 )
| ( sk__47 != X3 )
| ~ ( ssList @ X2 )
| ( ( app @ X0 @ X2 )
!= X3 )
| ( ( hd @ sk__48 )
!= X1 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ~ ( ssItem @ X1 )
| ( ( tl @ sk__48 )
!= X0 )
| ~ ( neq @ nil @ sk__48 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl192]) ).
thf(zip_derived_cl1699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ nil )
| ( nil = sk__48 )
| ~ ( ssList @ sk__48 )
| ~ ( ssList @ X0 )
| ( sk__47 != X0 )
| ~ ( ssList @ X1 )
| ( ( app @ X2 @ X1 )
!= X0 )
| ( ( hd @ sk__48 )
!= X3 )
| ( ( cons @ X3 @ nil )
!= X1 )
| ~ ( ssItem @ X3 )
| ( ( tl @ sk__48 )
!= X2 )
| ~ ( ssList @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl204]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl201_005,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl1700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( nil = sk__48 )
| ~ ( ssList @ X0 )
| ( sk__47 != X0 )
| ~ ( ssList @ X1 )
| ( ( app @ X2 @ X1 )
!= X0 )
| ( ( hd @ sk__48 )
!= X3 )
| ( ( cons @ X3 @ nil )
!= X1 )
| ~ ( ssItem @ X3 )
| ( ( tl @ sk__48 )
!= X2 )
| ~ ( ssList @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1699,zip_derived_cl83,zip_derived_cl201]) ).
thf(zip_derived_cl1988,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( tl @ sk__48 )
!= X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ( ( hd @ sk__48 )
!= X1 )
| ( ( app @ X0 @ X2 )
!= sk__47 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ sk__47 )
| ( nil = sk__48 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1700]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1989,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( tl @ sk__48 )
!= X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ( ( hd @ sk__48 )
!= X1 )
| ( ( app @ X0 @ X2 )
!= sk__47 )
| ~ ( ssList @ X2 )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl1988,zip_derived_cl190]) ).
thf(zip_derived_cl1990,plain,
! [X0: $i,X1: $i] :
( ( nil = sk__48 )
| ~ ( ssList @ X0 )
| ( ( app @ ( tl @ sk__48 ) @ X0 )
!= sk__47 )
| ( ( hd @ sk__48 )
!= X1 )
| ( ( cons @ X1 @ nil )
!= X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ ( tl @ sk__48 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1989]) ).
thf(zip_derived_cl2052,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( nil = sk__48 )
| ~ ( ssList @ X0 )
| ( ( app @ ( tl @ sk__48 ) @ X0 )
!= sk__47 )
| ( ( hd @ sk__48 )
!= X1 )
| ( ( cons @ X1 @ nil )
!= X0 )
| ~ ( ssItem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1990]) ).
thf(zip_derived_cl201_006,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl2053,plain,
! [X0: $i,X1: $i] :
( ( nil = sk__48 )
| ( nil = sk__48 )
| ~ ( ssList @ X0 )
| ( ( app @ ( tl @ sk__48 ) @ X0 )
!= sk__47 )
| ( ( hd @ sk__48 )
!= X1 )
| ( ( cons @ X1 @ nil )
!= X0 )
| ~ ( ssItem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2052,zip_derived_cl201]) ).
thf(zip_derived_cl2054,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ nil )
!= X0 )
| ( ( hd @ sk__48 )
!= X1 )
| ( ( app @ ( tl @ sk__48 ) @ X0 )
!= sk__47 )
| ~ ( ssList @ X0 )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2053]) ).
thf(zip_derived_cl2055,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ~ ( ssList @ X0 )
| ( ( app @ ( tl @ sk__48 ) @ X0 )
!= sk__47 )
| ( ( cons @ ( hd @ sk__48 ) @ nil )
!= X0 )
| ~ ( ssItem @ ( hd @ sk__48 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2054]) ).
thf(zip_derived_cl2056,plain,
! [X0: $i] :
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( nil = sk__48 )
| ~ ( ssList @ X0 )
| ( ( app @ ( tl @ sk__48 ) @ X0 )
!= sk__47 )
| ( ( cons @ ( hd @ sk__48 ) @ nil )
!= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl2055]) ).
thf(zip_derived_cl201_007,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl2057,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ( nil = sk__48 )
| ~ ( ssList @ X0 )
| ( ( app @ ( tl @ sk__48 ) @ X0 )
!= sk__47 )
| ( ( cons @ ( hd @ sk__48 ) @ nil )
!= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2056,zip_derived_cl201]) ).
thf(zip_derived_cl2058,plain,
! [X0: $i] :
( ( ( cons @ ( hd @ sk__48 ) @ nil )
!= X0 )
| ( ( app @ ( tl @ sk__48 ) @ X0 )
!= sk__47 )
| ~ ( ssList @ X0 )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2057]) ).
thf(zip_derived_cl3344,plain,
( ( nil = sk__48 )
| ( ( cons @ ( hd @ sk__48 ) @ nil )
!= ( cons @ ( hd @ sk__48 ) @ nil ) )
| ( sk__47 != sk__47 )
| ~ ( ssList @ ( cons @ ( hd @ sk__48 ) @ nil ) )
| ( nil = sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3301,zip_derived_cl2058]) ).
thf(zip_derived_cl3354,plain,
( ~ ( ssList @ ( cons @ ( hd @ sk__48 ) @ nil ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3344]) ).
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(ax4,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( singletonP @ U )
<=> ? [V: $i] :
( ( ( cons @ V @ nil )
= U )
& ( ssItem @ V ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ~ ( singletonP @ X0 )
| ( ( cons @ ( sk__4 @ X0 ) @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(ax23,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( hd @ ( cons @ V @ U ) )
= V ) ) ) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( hd @ ( cons @ X0 @ X1 ) )
= X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl350,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( singletonP @ X0 )
| ~ ( ssItem @ ( sk__4 @ X0 ) )
| ( ( hd @ X0 )
= ( sk__4 @ X0 ) )
| ~ ( ssList @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl92]) ).
thf(zip_derived_cl83_008,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl351,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( singletonP @ X0 )
| ~ ( ssItem @ ( sk__4 @ X0 ) )
| ( ( hd @ X0 )
= ( sk__4 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl83]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ~ ( singletonP @ X0 )
| ( ssItem @ ( sk__4 @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2949,plain,
! [X0: $i] :
( ( ( hd @ X0 )
= ( sk__4 @ X0 ) )
| ~ ( singletonP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl351,zip_derived_cl10]) ).
thf(zip_derived_cl11_009,plain,
! [X0: $i] :
( ~ ( singletonP @ X0 )
| ( ( cons @ ( sk__4 @ X0 ) @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2951,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( singletonP @ X0 )
| ~ ( singletonP @ X0 )
| ( ( cons @ ( hd @ X0 ) @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2949,zip_derived_cl11]) ).
thf(zip_derived_cl2955,plain,
! [X0: $i] :
( ( ( cons @ ( hd @ X0 ) @ nil )
= X0 )
| ~ ( singletonP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2951]) ).
thf(zip_derived_cl82_010,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ nil )
!= X0 )
| ~ ( ssItem @ X1 )
| ( singletonP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl254,plain,
! [X0: $i] :
( ~ ( ssList @ ( cons @ X0 @ nil ) )
| ( singletonP @ ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl2155,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ( singletonP @ ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl254]) ).
thf(zip_derived_cl83_011,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2158,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( singletonP @ ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2155,zip_derived_cl83]) ).
thf(zip_derived_cl2159,plain,
! [X0: $i] :
( ( singletonP @ ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2158]) ).
thf(zip_derived_cl2978,plain,
! [X0: $i] :
( ~ ( ssList @ ( cons @ X0 @ nil ) )
| ( ( cons @ ( hd @ ( cons @ X0 @ nil ) ) @ nil )
= ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2955,zip_derived_cl2159]) ).
thf(zip_derived_cl3044,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ( ( cons @ ( hd @ ( cons @ X0 @ nil ) ) @ nil )
= ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl2978]) ).
thf(zip_derived_cl83_012,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3048,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ ( hd @ ( cons @ X0 @ nil ) ) @ nil )
= ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3044,zip_derived_cl83]) ).
thf(zip_derived_cl3049,plain,
! [X0: $i] :
( ( ( cons @ ( hd @ ( cons @ X0 @ nil ) ) @ nil )
= ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3048]) ).
thf(zip_derived_cl82_013,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl3055,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssItem @ ( hd @ ( cons @ X0 @ nil ) ) )
| ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssList @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3049,zip_derived_cl82]) ).
thf(zip_derived_cl83_014,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3133,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssItem @ ( hd @ ( cons @ X0 @ nil ) ) )
| ( ssList @ ( cons @ X0 @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3055,zip_derived_cl83]) ).
thf(zip_derived_cl82_015,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl2949_016,plain,
! [X0: $i] :
( ( ( hd @ X0 )
= ( sk__4 @ X0 ) )
| ~ ( singletonP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl351,zip_derived_cl10]) ).
thf(zip_derived_cl10_017,plain,
! [X0: $i] :
( ~ ( singletonP @ X0 )
| ( ssItem @ ( sk__4 @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2950,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( singletonP @ X0 )
| ~ ( singletonP @ X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2949,zip_derived_cl10]) ).
thf(zip_derived_cl2954,plain,
! [X0: $i] :
( ( ssItem @ ( hd @ X0 ) )
| ~ ( singletonP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2950]) ).
thf(zip_derived_cl2159_018,plain,
! [X0: $i] :
( ( singletonP @ ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2158]) ).
thf(zip_derived_cl2959,plain,
! [X0: $i] :
( ~ ( ssList @ ( cons @ X0 @ nil ) )
| ( ssItem @ ( hd @ ( cons @ X0 @ nil ) ) )
| ~ ( ssItem @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2954,zip_derived_cl2159]) ).
thf(zip_derived_cl2981,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ( ssItem @ ( hd @ ( cons @ X0 @ nil ) ) )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl2959]) ).
thf(zip_derived_cl83_019,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2985,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( ssItem @ ( hd @ ( cons @ X0 @ nil ) ) )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2981,zip_derived_cl83]) ).
thf(zip_derived_cl2986,plain,
! [X0: $i] :
( ( ssItem @ ( hd @ ( cons @ X0 @ nil ) ) )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2985]) ).
thf(zip_derived_cl3217,plain,
! [X0: $i] :
( ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl3133,zip_derived_cl2986]) ).
thf(zip_derived_cl3356,plain,
( ( nil = sk__48 )
| ~ ( ssItem @ ( hd @ sk__48 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3354,zip_derived_cl3217]) ).
thf(zip_derived_cl3361,plain,
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( nil = sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl3356]) ).
thf(zip_derived_cl201_020,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl3362,plain,
( ( nil = sk__48 )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl3361,zip_derived_cl201]) ).
thf(zip_derived_cl3363,plain,
nil = sk__48,
inference(simplify,[status(thm)],[zip_derived_cl3362]) ).
thf(zip_derived_cl3364,plain,
neq @ nil @ nil,
inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl3363]) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl211,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl212,plain,
! [X0: $i] :
( ~ ( neq @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl3464,plain,
~ ( ssList @ nil ),
inference('s_sup-',[status(thm)],[zip_derived_cl3364,zip_derived_cl212]) ).
thf(zip_derived_cl83_021,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3465,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3464,zip_derived_cl83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC308+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uHgWIKfq1l true
% 0.13/0.34 % Computer : n009.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 16:22:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/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
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.64/1.37 % Solved by fo/fo13.sh.
% 5.64/1.37 % done 626 iterations in 0.585s
% 5.64/1.37 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.64/1.37 % SZS output start Refutation
% See solution above
% 5.64/1.37
% 5.64/1.37
% 5.64/1.37 % Terminating...
% 5.64/1.44 % Runner terminated.
% 5.64/1.45 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------