%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC422+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jkCUL3bX4M true
% Computer : n027.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 Oct 2 04:59:44 PM UTC 2025
% Result : Theorem 0.57s 0.81s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 49 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 174 ( 63 equ; 0 cnn)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 699 ( 98 ~; 87 |; 12 &; 476 @)
% ( 0 <=>; 14 =>; 12 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 47 ( 0 ^; 41 !; 6 ?; 47 :)
% 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(ssList_type,type,
ssList: $i > $o ).
thf(sk__49_type,type,
sk__49: $i ).
thf(sk__51_type,type,
sk__51: $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(sk__53_type,type,
sk__53: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__52_type,type,
sk__52: $i ).
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] :
( ( ( app @ ( app @ X1 @ ( cons @ Y @ nil ) ) @ Z )
= U )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= V )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ! [X2: $i] :
( ( ssItem @ X2 )
=> ! [X3: $i] :
( ( ssList @ X3 )
=> ! [X4: $i] :
( ( ssList @ X4 )
=> ( ( ( app @ ( app @ X3 @ ( cons @ X2 @ nil ) ) @ X4 )
!= X )
| ( ( app @ ( app @ X4 @ ( cons @ X2 @ nil ) ) @ X3 )
!= W ) ) ) ) ) )
& ( ~ ( 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] :
( ( ( app @ ( app @ X1 @ ( cons @ Y @ nil ) ) @ Z )
= U )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= V )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ! [X2: $i] :
( ( ssItem @ X2 )
=> ! [X3: $i] :
( ( ssList @ X3 )
=> ! [X4: $i] :
( ( ssList @ X4 )
=> ( ( ( app @ ( app @ X3 @ ( cons @ X2 @ nil ) ) @ X4 )
!= X )
| ( ( app @ ( app @ X4 @ ( cons @ X2 @ nil ) ) @ X3 )
!= W ) ) ) ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl204,plain,
( ( ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ sk__52 )
= sk__49 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
( ~ ( neq @ sk__50 @ nil )
| ( ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ sk__52 )
= sk__49 ) ),
inference(split,[status(esa)],[zip_derived_cl204]) ).
thf(zip_derived_cl203,plain,
( ( ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ sk__52 )
= sk__49 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl228,plain,
( ( ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ sk__52 )
= sk__49 )
<= ( ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ sk__52 )
= sk__49 ) ),
inference(split,[status(esa)],[zip_derived_cl203]) ).
thf(zip_derived_cl192,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl294,plain,
( ( ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ sk__52 )
= sk__47 )
<= ( ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ sk__52 )
= sk__49 ) ),
inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl192]) ).
thf(zip_derived_cl201,plain,
( ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__50 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl224,plain,
( ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__50 )
<= ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__50 ) ),
inference(split,[status(esa)],[zip_derived_cl201]) ).
thf(zip_derived_cl207,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl290,plain,
( ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__48 )
<= ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__50 ) ),
inference(demod,[status(thm)],[zip_derived_cl224,zip_derived_cl207]) ).
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 @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ X2 )
!= sk__47 )
| ~ ( ssList @ X2 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl212,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ X2 )
!= sk__47 ) )
<= ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ X2 )
!= sk__47 ) ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl291,plain,
( ( ~ ( ssItem @ sk__51 )
| ~ ( ssList @ sk__53 )
| ~ ( ssList @ sk__52 )
| ( sk__48 != sk__48 )
| ( ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ sk__52 )
!= sk__47 ) )
<= ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ X2 )
!= sk__47 ) )
& ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__50 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl212]) ).
thf(zip_derived_cl292,plain,
( ( ( ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ sk__52 )
!= sk__47 )
| ~ ( ssList @ sk__52 )
| ~ ( ssList @ sk__53 )
| ~ ( ssItem @ sk__51 ) )
<= ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ X2 )
!= sk__47 ) )
& ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__50 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl291]) ).
thf(zip_derived_cl303,plain,
( ( ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ sk__52 )
!= sk__47 )
<= ( ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ sk__52 )
!= sk__47 ) ),
inference(split,[status(esa)],[zip_derived_cl292]) ).
thf('1',plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ X2 )
!= sk__47 ) )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl197,plain,
( ( ssItem @ sk__51 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('2',plain,
( ( ssItem @ sk__51 )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl197]) ).
thf(zip_derived_cl199,plain,
( ( ssList @ sk__53 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
( ( ssList @ sk__53 )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl199]) ).
thf('4',plain,
( ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__50 )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl201]) ).
thf(zip_derived_cl205,plain,
( ( ssList @ sk__52 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('5',plain,
( ( ssList @ sk__52 )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl205]) ).
thf(zip_derived_cl207_001,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_cl210,plain,
( ~ ( neq @ sk__50 @ nil )
<= ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf(zip_derived_cl256,plain,
( ~ ( neq @ sk__48 @ nil )
<= ~ ( neq @ sk__50 @ nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl207,zip_derived_cl210]) ).
thf(zip_derived_cl211,plain,
( ( neq @ sk__48 @ nil )
<= ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf('6',plain,
( ( neq @ sk__50 @ nil )
| ~ ( neq @ sk__48 @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl256,zip_derived_cl211]) ).
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 @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ X2 )
!= sk__47 )
| ~ ( ssList @ X2 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('7',plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ X2 )
!= sk__47 ) )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl196]) ).
thf(zip_derived_cl198,plain,
( ( ssItem @ sk__51 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('8',plain,
( ( ssItem @ sk__51 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl198]) ).
thf(zip_derived_cl200,plain,
( ( ssList @ sk__53 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('9',plain,
( ( ssList @ sk__53 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl200]) ).
thf(zip_derived_cl202,plain,
( ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__50 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('10',plain,
( ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__50 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl202]) ).
thf(zip_derived_cl206,plain,
( ( ssList @ sk__52 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('11',plain,
( ( ssList @ sk__52 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl206]) ).
thf('12',plain,
( ( ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ sk__52 )
!= sk__47 )
| ~ ( ssList @ sk__52 )
| ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
!= sk__50 )
| ~ ( ssList @ sk__53 )
| ~ ( ssItem @ sk__51 )
| ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ X2 )
!= sk__47 ) ) ),
inference(split,[status(esa)],[zip_derived_cl292]) ).
thf('13',plain,
( ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ sk__52 )
!= sk__47 ),
inference('sat_resolution*',[status(thm)],['1','2','3','4','5','6','7','8','9','10','11','12']) ).
thf(zip_derived_cl325,plain,
( ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ sk__52 )
!= sk__47 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl303,'13']) ).
thf(zip_derived_cl326,plain,
( ( sk__47 != sk__47 )
<= ( ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ sk__52 )
= sk__49 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl294,zip_derived_cl325]) ).
thf('14',plain,
( ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ sk__52 )
!= sk__49 ),
inference(simplify,[status(thm)],[zip_derived_cl326]) ).
thf('15',plain,
( ( neq @ sk__48 @ nil )
| ( ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ sk__52 )
= sk__49 ) ),
inference(split,[status(esa)],[zip_derived_cl203]) ).
thf('16',plain,
( ~ ( neq @ sk__48 @ nil )
| ( neq @ sk__50 @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl256,zip_derived_cl211]) ).
thf(zip_derived_cl328,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','14','15','16']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC422+1 : TPTP v9.2.0. Released v2.4.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jkCUL3bX4M true
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 17:10:53 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.66 % Total configuration time : 435
% 0.56/0.66 % Estimated wc time : 1092
% 0.56/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.81 % Solved by fo/fo1_av.sh.
% 0.57/0.81 % done 85 iterations in 0.045s
% 0.57/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.81 % SZS output start Refutation
% See solution above
% 0.57/0.81
% 0.57/0.81
% 0.57/0.81 % Terminating...
% 1.58/0.86 % Runner terminated.
% 1.58/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------