TSTP Solution File: SWC413+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC413+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.E1x0zhgev6 true
% Computer : n004.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 21:31:25 EDT 2023
% Result : Theorem 1.29s 0.88s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of formulae : 105 ( 4 unt; 18 typ; 0 def)
% Number of atoms : 375 ( 135 equ; 0 cnn)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 1731 ( 212 ~; 221 |; 23 &;1231 @)
% ( 0 <=>; 26 =>; 18 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 15 con; 0-2 aty)
% Number of variables : 146 ( 0 ^; 134 !; 12 ?; 146 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__48_type,type,
sk__48: $i ).
thf(sk__51_type,type,
sk__51: $i ).
thf(sk__54_type,type,
sk__54: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__58_type,type,
sk__58: $i ).
thf(sk__55_type,type,
sk__55: $i ).
thf(sk__52_type,type,
sk__52: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__47_type,type,
sk__47: $i ).
thf(sk__57_type,type,
sk__57: $i ).
thf(sk__53_type,type,
sk__53: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(sk__59_type,type,
sk__59: $i ).
thf(sk__56_type,type,
sk__56: $i ).
thf(sk__50_type,type,
sk__50: $i ).
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] :
( ( ( app @ ( app @ ( cons @ Z @ nil ) @ ( cons @ Y @ nil ) ) @ X1 )
= U )
& ( ( app @ ( app @ ( cons @ Y @ nil ) @ ( cons @ Z @ nil ) ) @ X1 )
= V )
& ( ssList @ X1 ) )
& ( ssItem @ Z ) )
& ( ssItem @ Y ) )
| ! [X2: $i] :
( ( ssItem @ X2 )
=> ! [X3: $i] :
( ( ssItem @ X3 )
=> ! [X4: $i] :
( ( ssList @ X4 )
=> ( ( app @ ( app @ ( cons @ X2 @ nil ) @ ( cons @ X3 @ nil ) ) @ X4 )
!= V ) ) ) )
| ! [X5: $i] :
( ( ssItem @ X5 )
=> ! [X6: $i] :
( ( ssItem @ X6 )
=> ! [X7: $i] :
( ( ssList @ X7 )
=> ( ( ( app @ ( app @ ( cons @ X5 @ nil ) @ ( cons @ X6 @ nil ) ) @ X7 )
!= X )
| ( ( app @ ( app @ ( cons @ X6 @ nil ) @ ( cons @ X5 @ nil ) ) @ X7 )
!= W ) ) ) ) ) )
& ( ? [X8: $i] :
( ? [X9: $i] :
( ? [X10: $i] :
( ( ( app @ ( app @ ( cons @ X8 @ nil ) @ ( cons @ X9 @ nil ) ) @ X10 )
= X )
& ( ssList @ X10 ) )
& ( ssItem @ X9 ) )
& ( ssItem @ X8 ) )
| ! [X2: $i] :
( ( ssItem @ X2 )
=> ! [X3: $i] :
( ( ssItem @ X3 )
=> ! [X4: $i] :
( ( ssList @ X4 )
=> ( ( app @ ( app @ ( cons @ X2 @ nil ) @ ( cons @ X3 @ nil ) ) @ X4 )
!= V ) ) ) ) ) ) ) ) ) ) ) ).
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] :
( ( ( app @ ( app @ ( cons @ Z @ nil ) @ ( cons @ Y @ nil ) ) @ X1 )
= U )
& ( ( app @ ( app @ ( cons @ Y @ nil ) @ ( cons @ Z @ nil ) ) @ X1 )
= V )
& ( ssList @ X1 ) )
& ( ssItem @ Z ) )
& ( ssItem @ Y ) )
| ! [X2: $i] :
( ( ssItem @ X2 )
=> ! [X3: $i] :
( ( ssItem @ X3 )
=> ! [X4: $i] :
( ( ssList @ X4 )
=> ( ( app @ ( app @ ( cons @ X2 @ nil ) @ ( cons @ X3 @ nil ) ) @ X4 )
!= V ) ) ) )
| ! [X5: $i] :
( ( ssItem @ X5 )
=> ! [X6: $i] :
( ( ssItem @ X6 )
=> ! [X7: $i] :
( ( ssList @ X7 )
=> ( ( ( app @ ( app @ ( cons @ X5 @ nil ) @ ( cons @ X6 @ nil ) ) @ X7 )
!= X )
| ( ( app @ ( app @ ( cons @ X6 @ nil ) @ ( cons @ X5 @ nil ) ) @ X7 )
!= W ) ) ) ) ) )
& ( ? [X8: $i] :
( ? [X9: $i] :
( ? [X10: $i] :
( ( ( app @ ( app @ ( cons @ X8 @ nil ) @ ( cons @ X9 @ nil ) ) @ X10 )
= X )
& ( ssList @ X10 ) )
& ( ssItem @ X9 ) )
& ( ssItem @ X8 ) )
| ! [X2: $i] :
( ( ssItem @ X2 )
=> ! [X3: $i] :
( ( ssItem @ X3 )
=> ! [X4: $i] :
( ( ssList @ X4 )
=> ( ( app @ ( app @ ( cons @ X2 @ nil ) @ ( cons @ X3 @ nil ) ) @ X4 )
!= V ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl236,plain,
( ( ( app @ ( app @ ( cons @ sk__55 @ nil ) @ ( cons @ sk__54 @ nil ) ) @ sk__56 )
= sk__49 )
| ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
( ( ( app @ ( app @ ( cons @ sk__55 @ nil ) @ ( cons @ sk__54 @ nil ) ) @ sk__56 )
= sk__49 )
| ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 ) ),
inference(split,[status(esa)],[zip_derived_cl236]) ).
thf(zip_derived_cl196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ ( cons @ X0 @ nil ) @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ ( app @ ( cons @ X2 @ nil ) @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssItem @ X2 )
| ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 )
| ( ( app @ ( app @ ( cons @ X0 @ nil ) @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ ( app @ ( cons @ X2 @ nil ) @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 ) )
| ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 ) ),
inference(split,[status(esa)],[zip_derived_cl196]) ).
thf(zip_derived_cl221,plain,
( ( ssItem @ sk__54 )
| ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('2',plain,
( ( ssItem @ sk__54 )
| ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 ) ),
inference(split,[status(esa)],[zip_derived_cl221]) ).
thf(zip_derived_cl226,plain,
( ( ssList @ sk__56 )
| ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
( ( ssList @ sk__56 )
| ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 ) ),
inference(split,[status(esa)],[zip_derived_cl226]) ).
thf(zip_derived_cl231,plain,
( ( ( app @ ( app @ ( cons @ sk__54 @ nil ) @ ( cons @ sk__55 @ nil ) ) @ sk__56 )
= sk__50 )
| ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('4',plain,
( ( ( app @ ( app @ ( cons @ sk__54 @ nil ) @ ( cons @ sk__55 @ nil ) ) @ sk__56 )
= sk__50 )
| ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 ) ),
inference(split,[status(esa)],[zip_derived_cl231]) ).
thf(zip_derived_cl200,plain,
( ( ssItem @ sk__51 )
| ( ssList @ sk__59 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('5',plain,
( ( ssList @ sk__59 )
| ( ssItem @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl200]) ).
thf(zip_derived_cl202,plain,
( ( ssItem @ sk__51 )
| ( ssItem @ sk__58 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('6',plain,
( ( ssItem @ sk__58 )
| ( ssItem @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl202]) ).
thf(zip_derived_cl208,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ( app @ ( app @ ( cons @ sk__51 @ nil ) @ ( cons @ sk__52 @ nil ) ) @ sk__53 )
= sk__48 )
| ~ ( ssItem @ X3 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 )
| ~ ( ssList @ X5 )
| ~ ( ssItem @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl277,plain,
( ( ( app @ ( app @ ( cons @ sk__51 @ nil ) @ ( cons @ sk__52 @ nil ) ) @ sk__53 )
= sk__48 )
<= ( ( app @ ( app @ ( cons @ sk__51 @ nil ) @ ( cons @ sk__52 @ nil ) ) @ sk__53 )
= sk__48 ) ),
inference(split,[status(esa)],[zip_derived_cl208]) ).
thf(zip_derived_cl193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ ( cons @ X0 @ nil ) @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ ( app @ ( cons @ X2 @ nil ) @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssItem @ X2 )
| ~ ( ssItem @ X3 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 )
| ~ ( ssList @ X5 )
| ~ ( ssItem @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl246,plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ~ ( ssList @ X5 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X4 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 ) )
<= ! [X3: $i,X4: $i,X5: $i] :
( ~ ( ssList @ X5 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X4 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 ) ) ),
inference(split,[status(esa)],[zip_derived_cl193]) ).
thf(zip_derived_cl243,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl355,plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ~ ( ssList @ X5 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X4 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__48 ) )
<= ! [X3: $i,X4: $i,X5: $i] :
( ~ ( ssList @ X5 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X4 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl246,zip_derived_cl243]) ).
thf(zip_derived_cl375,plain,
( ( ~ ( ssList @ sk__53 )
| ~ ( ssItem @ sk__52 )
| ~ ( ssItem @ sk__51 )
| ( sk__48 != sk__48 ) )
<= ( ! [X3: $i,X4: $i,X5: $i] :
( ~ ( ssList @ X5 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X4 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 ) )
& ( ( app @ ( app @ ( cons @ sk__51 @ nil ) @ ( cons @ sk__52 @ nil ) ) @ sk__53 )
= sk__48 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl355]) ).
thf(zip_derived_cl376,plain,
( ( ~ ( ssItem @ sk__51 )
| ~ ( ssItem @ sk__52 )
| ~ ( ssList @ sk__53 ) )
<= ( ! [X3: $i,X4: $i,X5: $i] :
( ~ ( ssList @ X5 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X4 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 ) )
& ( ( app @ ( app @ ( cons @ sk__51 @ nil ) @ ( cons @ sk__52 @ nil ) ) @ sk__53 )
= sk__48 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl375]) ).
thf('7',plain,
( ~ ( ssItem @ sk__51 )
| ( ( app @ ( app @ ( cons @ sk__51 @ nil ) @ ( cons @ sk__52 @ nil ) ) @ sk__53 )
!= sk__48 )
| ~ ! [X3: $i,X4: $i,X5: $i] :
( ~ ( ssList @ X5 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X4 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 ) )
| ~ ( ssItem @ sk__52 )
| ~ ( ssList @ sk__53 ) ),
inference(split,[status(esa)],[zip_derived_cl376]) ).
thf(zip_derived_cl205,plain,
( ( ssList @ sk__53 )
| ( ssList @ sk__59 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('8',plain,
( ( ssList @ sk__59 )
| ( ssList @ sk__53 ) ),
inference(split,[status(esa)],[zip_derived_cl205]) ).
thf(zip_derived_cl206,plain,
( ( ssList @ sk__53 )
| ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('9',plain,
( ( ssList @ sk__53 )
| ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 ) ),
inference(split,[status(esa)],[zip_derived_cl206]) ).
thf(zip_derived_cl207,plain,
( ( ssList @ sk__53 )
| ( ssItem @ sk__58 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('10',plain,
( ( ssItem @ sk__58 )
| ( ssList @ sk__53 ) ),
inference(split,[status(esa)],[zip_derived_cl207]) ).
thf(zip_derived_cl214,plain,
( ( ssItem @ sk__52 )
| ( ssItem @ sk__57 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('11',plain,
( ( ssItem @ sk__52 )
| ( ssItem @ sk__57 ) ),
inference(split,[status(esa)],[zip_derived_cl214]) ).
thf(zip_derived_cl215,plain,
( ( ssItem @ sk__52 )
| ( ssList @ sk__59 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('12',plain,
( ( ssList @ sk__59 )
| ( ssItem @ sk__52 ) ),
inference(split,[status(esa)],[zip_derived_cl215]) ).
thf(zip_derived_cl216,plain,
( ( ssItem @ sk__52 )
| ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('13',plain,
( ( ssItem @ sk__52 )
| ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 ) ),
inference(split,[status(esa)],[zip_derived_cl216]) ).
thf(zip_derived_cl217,plain,
( ( ssItem @ sk__52 )
| ( ssItem @ sk__58 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('14',plain,
( ( ssItem @ sk__58 )
| ( ssItem @ sk__52 ) ),
inference(split,[status(esa)],[zip_derived_cl217]) ).
thf('15',plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 )
| ( ( app @ ( app @ ( cons @ X0 @ nil ) @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ ( app @ ( cons @ X2 @ nil ) @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 ) )
| ! [X3: $i,X4: $i,X5: $i] :
( ~ ( ssList @ X5 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X4 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 ) ) ),
inference(split,[status(esa)],[zip_derived_cl193]) ).
thf(zip_derived_cl218,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ssItem @ sk__54 )
| ~ ( ssItem @ X3 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 )
| ~ ( ssList @ X5 )
| ~ ( ssItem @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('16',plain,
( ( ssItem @ sk__54 )
| ! [X3: $i,X4: $i,X5: $i] :
( ~ ( ssList @ X5 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X4 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 ) ) ),
inference(split,[status(esa)],[zip_derived_cl218]) ).
thf(zip_derived_cl223,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ssList @ sk__56 )
| ~ ( ssItem @ X3 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 )
| ~ ( ssList @ X5 )
| ~ ( ssItem @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('17',plain,
( ( ssList @ sk__56 )
| ! [X3: $i,X4: $i,X5: $i] :
( ~ ( ssList @ X5 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X4 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 ) ) ),
inference(split,[status(esa)],[zip_derived_cl223]) ).
thf(zip_derived_cl228,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ( app @ ( app @ ( cons @ sk__54 @ nil ) @ ( cons @ sk__55 @ nil ) ) @ sk__56 )
= sk__50 )
| ~ ( ssItem @ X3 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 )
| ~ ( ssList @ X5 )
| ~ ( ssItem @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('18',plain,
( ( ( app @ ( app @ ( cons @ sk__54 @ nil ) @ ( cons @ sk__55 @ nil ) ) @ sk__56 )
= sk__50 )
| ! [X3: $i,X4: $i,X5: $i] :
( ~ ( ssList @ X5 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X4 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 ) ) ),
inference(split,[status(esa)],[zip_derived_cl228]) ).
thf(zip_derived_cl233,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ( app @ ( app @ ( cons @ sk__55 @ nil ) @ ( cons @ sk__54 @ nil ) ) @ sk__56 )
= sk__49 )
| ~ ( ssItem @ X3 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 )
| ~ ( ssList @ X5 )
| ~ ( ssItem @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('19',plain,
( ( ( app @ ( app @ ( cons @ sk__55 @ nil ) @ ( cons @ sk__54 @ nil ) ) @ sk__56 )
= sk__49 )
| ! [X3: $i,X4: $i,X5: $i] :
( ~ ( ssList @ X5 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X4 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 ) ) ),
inference(split,[status(esa)],[zip_derived_cl233]) ).
thf(zip_derived_cl238,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ssItem @ sk__55 )
| ~ ( ssItem @ X3 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 )
| ~ ( ssList @ X5 )
| ~ ( ssItem @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('20',plain,
( ( ssItem @ sk__55 )
| ! [X3: $i,X4: $i,X5: $i] :
( ~ ( ssList @ X5 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X4 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 ) ) ),
inference(split,[status(esa)],[zip_derived_cl238]) ).
thf(zip_derived_cl194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ ( cons @ X0 @ nil ) @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ ( app @ ( cons @ X2 @ nil ) @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssItem @ X2 )
| ( ssItem @ sk__57 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('21',plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 )
| ( ( app @ ( app @ ( cons @ X0 @ nil ) @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ ( app @ ( cons @ X2 @ nil ) @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 ) )
| ( ssItem @ sk__57 ) ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf(zip_derived_cl219,plain,
( ( ssItem @ sk__54 )
| ( ssItem @ sk__57 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('22',plain,
( ( ssItem @ sk__54 )
| ( ssItem @ sk__57 ) ),
inference(split,[status(esa)],[zip_derived_cl219]) ).
thf(zip_derived_cl224,plain,
( ( ssList @ sk__56 )
| ( ssItem @ sk__57 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('23',plain,
( ( ssList @ sk__56 )
| ( ssItem @ sk__57 ) ),
inference(split,[status(esa)],[zip_derived_cl224]) ).
thf(zip_derived_cl229,plain,
( ( ( app @ ( app @ ( cons @ sk__54 @ nil ) @ ( cons @ sk__55 @ nil ) ) @ sk__56 )
= sk__50 )
| ( ssItem @ sk__57 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('24',plain,
( ( ( app @ ( app @ ( cons @ sk__54 @ nil ) @ ( cons @ sk__55 @ nil ) ) @ sk__56 )
= sk__50 )
| ( ssItem @ sk__57 ) ),
inference(split,[status(esa)],[zip_derived_cl229]) ).
thf(zip_derived_cl234,plain,
( ( ( app @ ( app @ ( cons @ sk__55 @ nil ) @ ( cons @ sk__54 @ nil ) ) @ sk__56 )
= sk__49 )
| ( ssItem @ sk__57 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('25',plain,
( ( ( app @ ( app @ ( cons @ sk__55 @ nil ) @ ( cons @ sk__54 @ nil ) ) @ sk__56 )
= sk__49 )
| ( ssItem @ sk__57 ) ),
inference(split,[status(esa)],[zip_derived_cl234]) ).
thf(zip_derived_cl239,plain,
( ( ssItem @ sk__55 )
| ( ssItem @ sk__57 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('26',plain,
( ( ssItem @ sk__55 )
| ( ssItem @ sk__57 ) ),
inference(split,[status(esa)],[zip_derived_cl239]) ).
thf(zip_derived_cl210,plain,
( ( ( app @ ( app @ ( cons @ sk__51 @ nil ) @ ( cons @ sk__52 @ nil ) ) @ sk__53 )
= sk__48 )
| ( ssList @ sk__59 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('27',plain,
( ( ssList @ sk__59 )
| ( ( app @ ( app @ ( cons @ sk__51 @ nil ) @ ( cons @ sk__52 @ nil ) ) @ sk__53 )
= sk__48 ) ),
inference(split,[status(esa)],[zip_derived_cl210]) ).
thf(zip_derived_cl212,plain,
( ( ( app @ ( app @ ( cons @ sk__51 @ nil ) @ ( cons @ sk__52 @ nil ) ) @ sk__53 )
= sk__48 )
| ( ssItem @ sk__58 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('28',plain,
( ( ssItem @ sk__58 )
| ( ( app @ ( app @ ( cons @ sk__51 @ nil ) @ ( cons @ sk__52 @ nil ) ) @ sk__53 )
= sk__48 ) ),
inference(split,[status(esa)],[zip_derived_cl212]) ).
thf(zip_derived_cl253,plain,
( ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 )
<= ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 ) ),
inference(split,[status(esa)],[zip_derived_cl196]) ).
thf(zip_derived_cl355_001,plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ~ ( ssList @ X5 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X4 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__48 ) )
<= ! [X3: $i,X4: $i,X5: $i] :
( ~ ( ssList @ X5 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X4 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl246,zip_derived_cl243]) ).
thf(zip_derived_cl359,plain,
( ( ~ ( ssList @ sk__59 )
| ~ ( ssItem @ sk__58 )
| ~ ( ssItem @ sk__57 )
| ( sk__48 != sk__48 ) )
<= ( ! [X3: $i,X4: $i,X5: $i] :
( ~ ( ssList @ X5 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X4 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 ) )
& ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl355]) ).
thf(zip_derived_cl360,plain,
( ( ~ ( ssItem @ sk__57 )
| ~ ( ssItem @ sk__58 )
| ~ ( ssList @ sk__59 ) )
<= ( ! [X3: $i,X4: $i,X5: $i] :
( ~ ( ssList @ X5 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X4 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 ) )
& ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl359]) ).
thf('29',plain,
( ~ ( ssList @ sk__59 )
| ~ ( ssItem @ sk__58 )
| ~ ! [X3: $i,X4: $i,X5: $i] :
( ~ ( ssList @ X5 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X4 )
| ( ( app @ ( app @ ( cons @ X4 @ nil ) @ ( cons @ X3 @ nil ) ) @ X5 )
!= sk__50 ) )
| ~ ( ssItem @ sk__57 )
| ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
!= sk__48 ) ),
inference(split,[status(esa)],[zip_derived_cl360]) ).
thf(zip_derived_cl241,plain,
( ( ssItem @ sk__55 )
| ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('30',plain,
( ( ssItem @ sk__55 )
| ( ( app @ ( app @ ( cons @ sk__57 @ nil ) @ ( cons @ sk__58 @ nil ) ) @ sk__59 )
= sk__48 ) ),
inference(split,[status(esa)],[zip_derived_cl241]) ).
thf(zip_derived_cl317,plain,
( ( ( app @ ( app @ ( cons @ sk__54 @ nil ) @ ( cons @ sk__55 @ nil ) ) @ sk__56 )
= sk__50 )
<= ( ( app @ ( app @ ( cons @ sk__54 @ nil ) @ ( cons @ sk__55 @ nil ) ) @ sk__56 )
= sk__50 ) ),
inference(split,[status(esa)],[zip_derived_cl228]) ).
thf(zip_derived_cl243_002,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl605,plain,
( ( ( app @ ( app @ ( cons @ sk__54 @ nil ) @ ( cons @ sk__55 @ nil ) ) @ sk__56 )
= sk__48 )
<= ( ( app @ ( app @ ( cons @ sk__54 @ nil ) @ ( cons @ sk__55 @ nil ) ) @ sk__56 )
= sk__50 ) ),
inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl243]) ).
thf(zip_derived_cl247,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 )
| ( ( app @ ( app @ ( cons @ X0 @ nil ) @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ ( app @ ( cons @ X2 @ nil ) @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 ) )
<= ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 )
| ( ( app @ ( app @ ( cons @ X0 @ nil ) @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ ( app @ ( cons @ X2 @ nil ) @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 ) ) ),
inference(split,[status(esa)],[zip_derived_cl193]) ).
thf(zip_derived_cl612,plain,
( ( ~ ( ssItem @ sk__54 )
| ~ ( ssList @ sk__56 )
| ~ ( ssItem @ sk__55 )
| ( sk__48 != sk__48 )
| ( ( app @ ( app @ ( cons @ sk__55 @ nil ) @ ( cons @ sk__54 @ nil ) ) @ sk__56 )
!= sk__47 ) )
<= ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 )
| ( ( app @ ( app @ ( cons @ X0 @ nil ) @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ ( app @ ( cons @ X2 @ nil ) @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 ) )
& ( ( app @ ( app @ ( cons @ sk__54 @ nil ) @ ( cons @ sk__55 @ nil ) ) @ sk__56 )
= sk__50 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl247]) ).
thf(zip_derived_cl618,plain,
( ( ( ( app @ ( app @ ( cons @ sk__55 @ nil ) @ ( cons @ sk__54 @ nil ) ) @ sk__56 )
!= sk__47 )
| ~ ( ssItem @ sk__55 )
| ~ ( ssList @ sk__56 )
| ~ ( ssItem @ sk__54 ) )
<= ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 )
| ( ( app @ ( app @ ( cons @ X0 @ nil ) @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ ( app @ ( cons @ X2 @ nil ) @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 ) )
& ( ( app @ ( app @ ( cons @ sk__54 @ nil ) @ ( cons @ sk__55 @ nil ) ) @ sk__56 )
= sk__50 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl612]) ).
thf('31',plain,
( ( ( app @ ( app @ ( cons @ sk__55 @ nil ) @ ( cons @ sk__54 @ nil ) ) @ sk__56 )
!= sk__47 )
| ~ ( ssItem @ sk__55 )
| ( ( app @ ( app @ ( cons @ sk__54 @ nil ) @ ( cons @ sk__55 @ nil ) ) @ sk__56 )
!= sk__50 )
| ~ ( ssList @ sk__56 )
| ~ ( ssItem @ sk__54 )
| ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 )
| ( ( app @ ( app @ ( cons @ X0 @ nil ) @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ ( app @ ( cons @ X2 @ nil ) @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 ) ) ),
inference(split,[status(esa)],[zip_derived_cl618]) ).
thf(zip_derived_cl327,plain,
( ( ( app @ ( app @ ( cons @ sk__55 @ nil ) @ ( cons @ sk__54 @ nil ) ) @ sk__56 )
= sk__49 )
<= ( ( app @ ( app @ ( cons @ sk__55 @ nil ) @ ( cons @ sk__54 @ nil ) ) @ sk__56 )
= sk__49 ) ),
inference(split,[status(esa)],[zip_derived_cl233]) ).
thf(zip_derived_cl192,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl759,plain,
( ( ( app @ ( app @ ( cons @ sk__55 @ nil ) @ ( cons @ sk__54 @ nil ) ) @ sk__56 )
= sk__47 )
<= ( ( app @ ( app @ ( cons @ sk__55 @ nil ) @ ( cons @ sk__54 @ nil ) ) @ sk__56 )
= sk__49 ) ),
inference(demod,[status(thm)],[zip_derived_cl327,zip_derived_cl192]) ).
thf(zip_derived_cl657,plain,
( ( ( app @ ( app @ ( cons @ sk__55 @ nil ) @ ( cons @ sk__54 @ nil ) ) @ sk__56 )
!= sk__47 )
<= ( ( app @ ( app @ ( cons @ sk__55 @ nil ) @ ( cons @ sk__54 @ nil ) ) @ sk__56 )
!= sk__47 ) ),
inference(split,[status(esa)],[zip_derived_cl618]) ).
thf(zip_derived_cl770,plain,
( ( sk__47 != sk__47 )
<= ( ( ( app @ ( app @ ( cons @ sk__55 @ nil ) @ ( cons @ sk__54 @ nil ) ) @ sk__56 )
!= sk__47 )
& ( ( app @ ( app @ ( cons @ sk__55 @ nil ) @ ( cons @ sk__54 @ nil ) ) @ sk__56 )
= sk__49 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl759,zip_derived_cl657]) ).
thf('32',plain,
( ( ( app @ ( app @ ( cons @ sk__55 @ nil ) @ ( cons @ sk__54 @ nil ) ) @ sk__56 )
= sk__47 )
| ( ( app @ ( app @ ( cons @ sk__55 @ nil ) @ ( cons @ sk__54 @ nil ) ) @ sk__56 )
!= sk__49 ) ),
inference(simplify,[status(thm)],[zip_derived_cl770]) ).
thf(zip_derived_cl774,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','27','28','29','30','31','32']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC413+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.E1x0zhgev6 true
% 0.13/0.34 % Computer : n004.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 17:32:22 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
% 0.20/0.64 % 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
% 0.20/0.72 % /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
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.88 % Solved by fo/fo1_av.sh.
% 1.29/0.88 % done 224 iterations in 0.129s
% 1.29/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.29/0.88 % SZS output start Refutation
% See solution above
% 1.29/0.88
% 1.29/0.88
% 1.29/0.88 % Terminating...
% 1.46/0.94 % Runner terminated.
% 1.46/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------