TSTP Solution File: SWC239+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC239+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.q4dGelxSFK true
% Computer : n007.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 21:30:08 EDT 2023
% Result : Theorem 4.61s 2.50s
% Output : Refutation 4.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 50 ( 14 unt; 12 typ; 0 def)
% Number of atoms : 142 ( 46 equ; 0 cnn)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 408 ( 79 ~; 70 |; 17 &; 225 @)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 55 ( 0 ^; 47 !; 8 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(lt_type,type,
lt: $i > $i > $o ).
thf(app_type,type,
app: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__49_type,type,
sk__49: $i ).
thf(sk__51_type,type,
sk__51: $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(sk__52_type,type,
sk__52: $i > $i > $i > $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(ax84,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ U @ nil )
= U ) ) ).
thf(zip_derived_cl176,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf(ax28,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ nil @ U )
= U ) ) ).
thf(zip_derived_cl97,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ( nil = U )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ! [X2: $i] :
( ( ssItem @ X2 )
=> ( ~ ( memberP @ Z @ X2 )
| ~ ( memberP @ X1 @ X2 )
| ~ ( lt @ Y @ X2 )
| ( leq @ Y @ X2 ) ) )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= U )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ( ! [X3: $i] :
( ( ssItem @ X3 )
=> ( ( ( cons @ X3 @ nil )
!= W )
| ~ ( memberP @ X @ X3 )
| ? [X4: $i] :
( ( leq @ X3 @ X4 )
& ( memberP @ X @ X4 )
& ( X3 != X4 )
& ( ssItem @ X4 ) ) ) )
& ( ( nil != X )
| ( nil != W ) ) ) ) ) ) ) ) ).
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 )
| ( nil = U )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ! [X2: $i] :
( ( ssItem @ X2 )
=> ( ~ ( memberP @ Z @ X2 )
| ~ ( memberP @ X1 @ X2 )
| ~ ( lt @ Y @ X2 )
| ( leq @ Y @ X2 ) ) )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= U )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ( ! [X3: $i] :
( ( ssItem @ X3 )
=> ( ( ( cons @ X3 @ nil )
!= W )
| ~ ( memberP @ X @ X3 )
| ? [X4: $i] :
( ( leq @ X3 @ X4 )
& ( memberP @ X @ X4 )
& ( X3 != X4 )
& ( ssItem @ X4 ) ) ) )
& ( ( nil != X )
| ( nil != W ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl204,plain,
( ( ( cons @ sk__51 @ nil )
= sk__49 )
| ( nil = sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl198,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl198_001,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1580,plain,
( ( ( cons @ sk__51 @ nil )
= sk__47 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl198,zip_derived_cl198]) ).
thf(zip_derived_cl197,plain,
nil != sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1581,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1580,zip_derived_cl197]) ).
thf(zip_derived_cl195,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( lt @ X2 @ ( sk__52 @ X1 @ X0 @ X2 ) )
| ( ( app @ ( app @ X0 @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax93,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( lt @ U @ V )
<=> ( ( U != V )
& ( leq @ U @ V ) ) ) ) ) ).
thf(zip_derived_cl186,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( lt @ X1 @ X0 )
| ( leq @ X1 @ X0 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[ax93]) ).
thf(zip_derived_cl3409,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X2 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ X2 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ ( sk__52 @ X2 @ X1 @ X0 ) )
| ( leq @ X0 @ ( sk__52 @ X2 @ X1 @ X0 ) )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl186]) ).
thf(zip_derived_cl3412,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ X0 @ ( sk__52 @ X2 @ X1 @ X0 ) )
| ~ ( ssItem @ ( sk__52 @ X2 @ X1 @ X0 ) )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ X2 )
!= sk__47 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3409]) ).
thf(zip_derived_cl196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( leq @ X2 @ ( sk__52 @ X1 @ X0 @ X2 ) )
| ( ( app @ ( app @ X0 @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3413,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X2 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ X2 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ ( sk__52 @ X2 @ X1 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3412,zip_derived_cl196]) ).
thf(zip_derived_cl192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ssItem @ ( sk__52 @ X1 @ X0 @ X2 ) )
| ( ( app @ ( app @ X0 @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3414,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X1 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ X2 )
!= sk__47 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl3413,zip_derived_cl192]) ).
thf(zip_derived_cl3426,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( ( app @ ( app @ X1 @ sk__47 ) @ X0 )
!= sk__47 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1581,zip_derived_cl3414]) ).
thf(zip_derived_cl206,plain,
( ( ssItem @ sk__51 )
| ( nil = sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl198_002,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1565,plain,
( ( ssItem @ sk__51 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl198]) ).
thf(zip_derived_cl197_003,plain,
nil != sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1566,plain,
ssItem @ sk__51,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1565,zip_derived_cl197]) ).
thf(zip_derived_cl3433,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( ( app @ ( app @ X1 @ sk__47 ) @ X0 )
!= sk__47 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3426,zip_derived_cl1566]) ).
thf(zip_derived_cl3538,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ~ ( ssList @ nil )
| ( ( app @ sk__47 @ X0 )
!= sk__47 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl3433]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3550,plain,
! [X0: $i] :
( ( ( app @ sk__47 @ X0 )
!= sk__47 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3538,zip_derived_cl190,zip_derived_cl83]) ).
thf(zip_derived_cl3567,plain,
( ~ ( ssList @ sk__47 )
| ( sk__47 != sk__47 )
| ~ ( ssList @ nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl3550]) ).
thf(zip_derived_cl190_004,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_005,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3573,plain,
sk__47 != sk__47,
inference(demod,[status(thm)],[zip_derived_cl3567,zip_derived_cl190,zip_derived_cl83]) ).
thf(zip_derived_cl3574,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl3573]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.56 % Problem : SWC239+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.57 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.q4dGelxSFK true
% 0.13/0.93 % Computer : n007.cluster.edu
% 0.13/0.93 % Model : x86_64 x86_64
% 0.13/0.93 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.93 % Memory : 8042.1875MB
% 0.13/0.93 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.93 % CPULimit : 300
% 0.13/0.93 % WCLimit : 300
% 0.13/0.93 % DateTime : Mon Aug 28 15:28:58 EDT 2023
% 0.14/0.94 % CPUTime :
% 0.14/0.94 % Running portfolio for 300 s
% 0.14/0.94 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.96 % Number of cores: 8
% 0.14/0.97 % Python version: Python 3.6.8
% 0.14/0.98 % Running in FO mode
% 0.46/1.30 % Total configuration time : 435
% 0.46/1.30 % Estimated wc time : 1092
% 0.46/1.30 % Estimated cpu time (7 cpus) : 156.0
% 0.48/1.41 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/1.49 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/1.54 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/1.56 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/1.62 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/1.64 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/1.65 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.61/2.50 % Solved by fo/fo6_bce.sh.
% 4.61/2.50 % BCE start: 210
% 4.61/2.50 % BCE eliminated: 6
% 4.61/2.50 % PE start: 204
% 4.61/2.50 logic: eq
% 4.61/2.50 % PE eliminated: 6
% 4.61/2.50 % done 346 iterations in 1.003s
% 4.61/2.50 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.61/2.50 % SZS output start Refutation
% See solution above
% 4.61/2.50
% 4.61/2.50
% 4.61/2.50 % Terminating...
% 5.20/2.72 % Runner terminated.
% 5.22/2.75 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------