TSTP Solution File: SWC002+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC002+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.6R4Md6Amwc true
% Computer : n016.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 21:28:24 EDT 2023
% Result : Theorem 0.48s 0.84s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 99 ( 5 unt; 16 typ; 0 def)
% Number of atoms : 492 ( 173 equ; 0 cnn)
% Maximal formula atoms : 27 ( 5 avg)
% Number of connectives : 1765 ( 338 ~; 337 |; 28 &;1018 @)
% ( 0 <=>; 16 =>; 28 <=; 0 <~>)
% Maximal formula depth : 28 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 142 ( 0 ^; 134 !; 8 ?; 142 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__53_type,type,
sk__53: $i ).
thf(geq_type,type,
geq: $i > $i > $o ).
thf(sk__49_type,type,
sk__49: $i ).
thf(sk__54_type,type,
sk__54: $i ).
thf(sk__51_type,type,
sk__51: $i > $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__52_type,type,
sk__52: $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(sk__50_type,type,
sk__50: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__48_type,type,
sk__48: $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 )
| ( ( ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ! [X2: $i] :
( ( ssItem @ X2 )
=> ( ~ ( memberP @ V @ X2 )
| ~ ( geq @ X2 @ Y )
| ( Y = X2 ) ) )
& ( ( app @ Z @ X1 )
= U )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= V )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ! [X3: $i] :
( ( ssItem @ X3 )
=> ! [X4: $i] :
( ( ssList @ X4 )
=> ! [X5: $i] :
( ( ssList @ X5 )
=> ( ( ( app @ ( app @ X4 @ ( cons @ X3 @ nil ) ) @ X5 )
!= X )
| ( ( app @ X4 @ X5 )
!= W )
| ? [X6: $i] :
( ( geq @ X6 @ X3 )
& ( memberP @ X @ X6 )
& ( X3 != X6 )
& ( ssItem @ X6 ) ) ) ) ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ) ).
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] :
( ! [X2: $i] :
( ( ssItem @ X2 )
=> ( ~ ( memberP @ V @ X2 )
| ~ ( geq @ X2 @ Y )
| ( Y = X2 ) ) )
& ( ( app @ Z @ X1 )
= U )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= V )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ! [X3: $i] :
( ( ssItem @ X3 )
=> ! [X4: $i] :
( ( ssList @ X4 )
=> ! [X5: $i] :
( ( ssList @ X5 )
=> ( ( ( app @ ( app @ X4 @ ( cons @ X3 @ nil ) ) @ X5 )
!= X )
| ( ( app @ X4 @ X5 )
!= W )
| ? [X6: $i] :
( ( geq @ X6 @ X3 )
& ( memberP @ X @ X6 )
& ( X3 != X6 )
& ( ssItem @ X6 ) ) ) ) ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl197,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( geq @ ( sk__51 @ X0 ) @ X0 )
| ~ ( ssList @ X2 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( geq @ ( sk__51 @ X0 ) @ X0 ) )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl197]) ).
thf(zip_derived_cl211,plain,
! [X3: $i] :
( ~ ( ssItem @ X3 )
| ( sk__52 = X3 )
| ~ ( memberP @ sk__50 @ X3 )
| ~ ( geq @ X3 @ sk__52 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
( ! [X3: $i] :
( ~ ( ssItem @ X3 )
| ( sk__52 = X3 )
| ~ ( memberP @ sk__50 @ X3 )
| ~ ( geq @ X3 @ sk__52 ) )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl211]) ).
thf(zip_derived_cl201,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ssItem @ ( sk__51 @ X0 ) )
| ~ ( ssList @ X2 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('2',plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ssItem @ ( sk__51 @ X0 ) ) )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl201]) ).
thf(zip_derived_cl199,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( memberP @ sk__48 @ ( sk__51 @ X0 ) )
| ~ ( ssList @ X2 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( memberP @ sk__48 @ ( sk__51 @ X0 ) ) )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl199]) ).
thf(zip_derived_cl196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( X0
!= ( sk__51 @ X0 ) )
| ~ ( ssList @ X2 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('4',plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( sk__51 @ X0 ) )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 ) )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl196]) ).
thf(zip_derived_cl195,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( X0
!= ( sk__51 @ X0 ) )
| ~ ( ssList @ X2 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('5',plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( sk__51 @ X0 ) )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 ) )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl203,plain,
( ( ssItem @ sk__52 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('6',plain,
( ( ssItem @ sk__52 )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl203]) ).
thf(zip_derived_cl205,plain,
( ( ssList @ sk__54 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('7',plain,
( ( ssList @ sk__54 )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl205]) ).
thf(zip_derived_cl213,plain,
( ( ssList @ sk__53 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('8',plain,
( ( ssList @ sk__53 )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl213]) ).
thf(zip_derived_cl207,plain,
( ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__50 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl244,plain,
( ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__50 )
<= ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__50 ) ),
inference(split,[status(esa)],[zip_derived_cl207]) ).
thf(zip_derived_cl215,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl323,plain,
( ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__48 )
<= ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__50 ) ),
inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl215]) ).
thf(zip_derived_cl220,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( sk__51 @ X0 ) )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 ) )
<= ! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( sk__51 @ X0 ) )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 ) ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl326,plain,
( ( ( sk__52
!= ( sk__51 @ sk__52 ) )
| ~ ( ssItem @ sk__52 )
| ~ ( ssList @ sk__54 )
| ~ ( ssList @ sk__53 )
| ( ( app @ sk__53 @ sk__54 )
!= sk__47 )
| ( sk__48 != sk__48 ) )
<= ( ! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( sk__51 @ X0 ) )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 ) )
& ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__50 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl323,zip_derived_cl220]) ).
thf(zip_derived_cl327,plain,
( ( ( ( app @ sk__53 @ sk__54 )
!= sk__47 )
| ~ ( ssList @ sk__53 )
| ~ ( ssList @ sk__54 )
| ~ ( ssItem @ sk__52 )
| ( sk__52
!= ( sk__51 @ sk__52 ) ) )
<= ( ! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( sk__51 @ X0 ) )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 ) )
& ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__50 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl326]) ).
thf('9',plain,
( ( sk__52
!= ( sk__51 @ sk__52 ) )
| ~ ( ssList @ sk__53 )
| ( ( app @ sk__53 @ sk__54 )
!= sk__47 )
| ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
!= sk__50 )
| ~ ( ssList @ sk__54 )
| ~ ( ssItem @ sk__52 )
| ~ ! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( sk__51 @ X0 ) )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 ) ) ),
inference(split,[status(esa)],[zip_derived_cl327]) ).
thf(zip_derived_cl323_001,plain,
( ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__48 )
<= ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__50 ) ),
inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl215]) ).
thf(zip_derived_cl232,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ssItem @ ( sk__51 @ X0 ) ) )
<= ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ssItem @ ( sk__51 @ X0 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl201]) ).
thf(zip_derived_cl331,plain,
( ( ~ ( ssItem @ sk__52 )
| ~ ( ssList @ sk__54 )
| ~ ( ssList @ sk__53 )
| ( ( app @ sk__53 @ sk__54 )
!= sk__47 )
| ( sk__48 != sk__48 )
| ( ssItem @ ( sk__51 @ sk__52 ) ) )
<= ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ssItem @ ( sk__51 @ X0 ) ) )
& ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__50 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl323,zip_derived_cl232]) ).
thf(zip_derived_cl332,plain,
( ( ( ssItem @ ( sk__51 @ sk__52 ) )
| ( ( app @ sk__53 @ sk__54 )
!= sk__47 )
| ~ ( ssList @ sk__53 )
| ~ ( ssList @ sk__54 )
| ~ ( ssItem @ sk__52 ) )
<= ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ssItem @ ( sk__51 @ X0 ) ) )
& ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__50 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl331]) ).
thf('10',plain,
( ( ssItem @ ( sk__51 @ sk__52 ) )
| ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
!= sk__50 )
| ( ( app @ sk__53 @ sk__54 )
!= sk__47 )
| ~ ( ssList @ sk__54 )
| ~ ( ssItem @ sk__52 )
| ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ssItem @ ( sk__51 @ X0 ) ) )
| ~ ( ssList @ sk__53 ) ),
inference(split,[status(esa)],[zip_derived_cl332]) ).
thf(zip_derived_cl323_002,plain,
( ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__48 )
<= ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__50 ) ),
inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl215]) ).
thf(zip_derived_cl224,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( geq @ ( sk__51 @ X0 ) @ X0 ) )
<= ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( geq @ ( sk__51 @ X0 ) @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl197]) ).
thf(zip_derived_cl333,plain,
( ( ~ ( ssItem @ sk__52 )
| ~ ( ssList @ sk__54 )
| ~ ( ssList @ sk__53 )
| ( ( app @ sk__53 @ sk__54 )
!= sk__47 )
| ( sk__48 != sk__48 )
| ( geq @ ( sk__51 @ sk__52 ) @ sk__52 ) )
<= ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( geq @ ( sk__51 @ X0 ) @ X0 ) )
& ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__50 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl323,zip_derived_cl224]) ).
thf(zip_derived_cl334,plain,
( ( ( geq @ ( sk__51 @ sk__52 ) @ sk__52 )
| ( ( app @ sk__53 @ sk__54 )
!= sk__47 )
| ~ ( ssList @ sk__53 )
| ~ ( ssList @ sk__54 )
| ~ ( ssItem @ sk__52 ) )
<= ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( geq @ ( sk__51 @ X0 ) @ X0 ) )
& ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__50 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl333]) ).
thf('11',plain,
( ( geq @ ( sk__51 @ sk__52 ) @ sk__52 )
| ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
!= sk__50 )
| ( ( app @ sk__53 @ sk__54 )
!= sk__47 )
| ~ ( ssList @ sk__54 )
| ~ ( ssItem @ sk__52 )
| ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( geq @ ( sk__51 @ X0 ) @ X0 ) )
| ~ ( ssList @ sk__53 ) ),
inference(split,[status(esa)],[zip_derived_cl334]) ).
thf(zip_derived_cl198,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( geq @ ( sk__51 @ X0 ) @ X0 )
| ~ ( ssList @ X2 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('12',plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( geq @ ( sk__51 @ X0 ) @ X0 ) )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl198]) ).
thf(zip_derived_cl200,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( memberP @ sk__48 @ ( sk__51 @ X0 ) )
| ~ ( ssList @ X2 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('13',plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( memberP @ sk__48 @ ( sk__51 @ X0 ) ) )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl200]) ).
thf(zip_derived_cl202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ssItem @ ( sk__51 @ X0 ) )
| ~ ( ssList @ X2 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('14',plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ssItem @ ( sk__51 @ X0 ) ) )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl202]) ).
thf(zip_derived_cl204,plain,
( ( ssItem @ sk__52 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('15',plain,
( ( ssItem @ sk__52 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl204]) ).
thf(zip_derived_cl206,plain,
( ( ssList @ sk__54 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('16',plain,
( ( ssList @ sk__54 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl206]) ).
thf(zip_derived_cl208,plain,
( ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__50 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('17',plain,
( ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__50 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl208]) ).
thf(zip_derived_cl212,plain,
! [X3: $i] :
( ~ ( ssItem @ X3 )
| ( sk__52 = X3 )
| ~ ( memberP @ sk__50 @ X3 )
| ~ ( geq @ X3 @ sk__52 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('18',plain,
( ! [X3: $i] :
( ~ ( ssItem @ X3 )
| ( sk__52 = X3 )
| ~ ( memberP @ sk__50 @ X3 )
| ~ ( geq @ X3 @ sk__52 ) )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl212]) ).
thf(zip_derived_cl214,plain,
( ( ssList @ sk__53 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('19',plain,
( ( ssList @ sk__53 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl214]) ).
thf('20',plain,
( ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__50 )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl207]) ).
thf(zip_derived_cl209,plain,
( ( ( app @ sk__53 @ sk__54 )
= sk__49 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('21',plain,
( ( ( app @ sk__53 @ sk__54 )
= sk__49 )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl209]) ).
thf(zip_derived_cl210,plain,
( ( ( app @ sk__53 @ sk__54 )
= sk__49 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('22',plain,
( ( ( app @ sk__53 @ sk__54 )
= sk__49 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl210]) ).
thf(zip_derived_cl215_003,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194,plain,
( ( neq @ sk__48 @ nil )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl218,plain,
( ~ ( neq @ sk__50 @ nil )
<= ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf(zip_derived_cl273,plain,
( ~ ( neq @ sk__48 @ nil )
<= ~ ( neq @ sk__50 @ nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl215,zip_derived_cl218]) ).
thf(zip_derived_cl219,plain,
( ( neq @ sk__48 @ nil )
<= ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf('23',plain,
( ~ ( neq @ sk__48 @ nil )
| ( neq @ sk__50 @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl273,zip_derived_cl219]) ).
thf(zip_derived_cl248,plain,
( ( ( app @ sk__53 @ sk__54 )
= sk__49 )
<= ( ( app @ sk__53 @ sk__54 )
= sk__49 ) ),
inference(split,[status(esa)],[zip_derived_cl209]) ).
thf(zip_derived_cl192,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl320,plain,
( ( ( app @ sk__53 @ sk__54 )
= sk__47 )
<= ( ( app @ sk__53 @ sk__54 )
= sk__49 ) ),
inference(demod,[status(thm)],[zip_derived_cl248,zip_derived_cl192]) ).
thf(zip_derived_cl336,plain,
( ( ( app @ sk__53 @ sk__54 )
!= sk__47 )
<= ( ( app @ sk__53 @ sk__54 )
!= sk__47 ) ),
inference(split,[status(esa)],[zip_derived_cl327]) ).
thf(zip_derived_cl363,plain,
( ( sk__47 != sk__47 )
<= ( ( ( app @ sk__53 @ sk__54 )
!= sk__47 )
& ( ( app @ sk__53 @ sk__54 )
= sk__49 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl320,zip_derived_cl336]) ).
thf('24',plain,
( ( ( app @ sk__53 @ sk__54 )
= sk__47 )
| ( ( app @ sk__53 @ sk__54 )
!= sk__49 ) ),
inference(simplify,[status(thm)],[zip_derived_cl363]) ).
thf(zip_derived_cl323_004,plain,
( ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__48 )
<= ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__50 ) ),
inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl215]) ).
thf(zip_derived_cl228,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( memberP @ sk__48 @ ( sk__51 @ X0 ) ) )
<= ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( memberP @ sk__48 @ ( sk__51 @ X0 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl199]) ).
thf(zip_derived_cl388,plain,
( ( ~ ( ssItem @ sk__52 )
| ~ ( ssList @ sk__54 )
| ~ ( ssList @ sk__53 )
| ( ( app @ sk__53 @ sk__54 )
!= sk__47 )
| ( sk__48 != sk__48 )
| ( memberP @ sk__48 @ ( sk__51 @ sk__52 ) ) )
<= ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( memberP @ sk__48 @ ( sk__51 @ X0 ) ) )
& ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__50 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl323,zip_derived_cl228]) ).
thf(zip_derived_cl390,plain,
( ( ( memberP @ sk__48 @ ( sk__51 @ sk__52 ) )
| ( ( app @ sk__53 @ sk__54 )
!= sk__47 )
| ~ ( ssList @ sk__53 )
| ~ ( ssList @ sk__54 )
| ~ ( ssItem @ sk__52 ) )
<= ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( memberP @ sk__48 @ ( sk__51 @ X0 ) ) )
& ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__50 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl388]) ).
thf('25',plain,
( ( memberP @ sk__48 @ ( sk__51 @ sk__52 ) )
| ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( memberP @ sk__48 @ ( sk__51 @ X0 ) ) )
| ~ ( ssItem @ sk__52 )
| ~ ( ssList @ sk__54 )
| ( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
!= sk__50 )
| ~ ( ssList @ sk__53 )
| ( ( app @ sk__53 @ sk__54 )
!= sk__47 ) ),
inference(split,[status(esa)],[zip_derived_cl390]) ).
thf(zip_derived_cl347,plain,
( ( geq @ ( sk__51 @ sk__52 ) @ sk__52 )
<= ( geq @ ( sk__51 @ sk__52 ) @ sk__52 ) ),
inference(split,[status(esa)],[zip_derived_cl334]) ).
thf(zip_derived_cl252,plain,
( ! [X3: $i] :
( ~ ( ssItem @ X3 )
| ( sk__52 = X3 )
| ~ ( memberP @ sk__50 @ X3 )
| ~ ( geq @ X3 @ sk__52 ) )
<= ! [X3: $i] :
( ~ ( ssItem @ X3 )
| ( sk__52 = X3 )
| ~ ( memberP @ sk__50 @ X3 )
| ~ ( geq @ X3 @ sk__52 ) ) ),
inference(split,[status(esa)],[zip_derived_cl211]) ).
thf(zip_derived_cl215_005,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl322,plain,
( ! [X3: $i] :
( ~ ( ssItem @ X3 )
| ( sk__52 = X3 )
| ~ ( memberP @ sk__48 @ X3 )
| ~ ( geq @ X3 @ sk__52 ) )
<= ! [X3: $i] :
( ~ ( ssItem @ X3 )
| ( sk__52 = X3 )
| ~ ( memberP @ sk__50 @ X3 )
| ~ ( geq @ X3 @ sk__52 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl252,zip_derived_cl215]) ).
thf(zip_derived_cl352,plain,
( ( ~ ( ssItem @ ( sk__51 @ sk__52 ) )
| ( sk__52
= ( sk__51 @ sk__52 ) )
| ~ ( memberP @ sk__48 @ ( sk__51 @ sk__52 ) ) )
<= ( ! [X3: $i] :
( ~ ( ssItem @ X3 )
| ( sk__52 = X3 )
| ~ ( memberP @ sk__50 @ X3 )
| ~ ( geq @ X3 @ sk__52 ) )
& ( geq @ ( sk__51 @ sk__52 ) @ sk__52 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl322]) ).
thf('26',plain,
( ~ ( memberP @ sk__48 @ ( sk__51 @ sk__52 ) )
| ~ ( ssItem @ ( sk__51 @ sk__52 ) )
| ( sk__52
= ( sk__51 @ sk__52 ) )
| ~ ! [X3: $i] :
( ~ ( ssItem @ X3 )
| ( sk__52 = X3 )
| ~ ( memberP @ sk__50 @ X3 )
| ~ ( geq @ X3 @ sk__52 ) )
| ~ ( geq @ ( sk__51 @ sk__52 ) @ sk__52 ) ),
inference(split,[status(esa)],[zip_derived_cl352]) ).
thf(zip_derived_cl399,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC002+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6R4Md6Amwc true
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 17:32:44 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
% 0.44/0.58 % Total configuration time : 435
% 0.44/0.58 % Estimated wc time : 1092
% 0.44/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.70 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.70 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.70 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.84 % Solved by fo/fo1_av.sh.
% 0.48/0.84 % done 122 iterations in 0.096s
% 0.48/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.48/0.84 % SZS output start Refutation
% See solution above
% 0.48/0.84
% 0.48/0.84
% 0.48/0.84 % Terminating...
% 0.51/0.91 % Runner terminated.
% 0.51/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------