TSTP Solution File: SWC247+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC247+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.vtO2ZQwZkm 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 21:30:12 EDT 2023
% Result : Theorem 4.37s 1.18s
% Output : Refutation 4.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 25
% Syntax : Number of formulae : 57 ( 7 unt; 16 typ; 0 def)
% Number of atoms : 176 ( 44 equ; 0 cnn)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 534 ( 103 ~; 94 |; 17 &; 296 @)
% ( 1 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 3 con; 0-3 aty)
% Number of variables : 76 ( 0 ^; 68 !; 8 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
thf(frontsegP_type,type,
frontsegP: $i > $i > $o ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__51_type,type,
sk__51: $i > $i > $i > $i ).
thf(totalorderedP_type,type,
totalorderedP: $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(hd_type,type,
hd: $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(tl_type,type,
tl: $i > $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
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(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(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 )
| ~ ( frontsegP @ X @ W )
| ~ ( totalorderedP @ W )
| ( nil = U )
| ? [Y: $i] :
( ( totalorderedP @ Y )
& ( segmentP @ Y @ W )
& ( frontsegP @ X @ Y )
& ( neq @ W @ Y )
& ( ssList @ Y ) )
| ? [Z: $i] :
( ? [X1: $i] :
( ? [X2: $i] :
( ! [X3: $i] :
( ( ssItem @ X3 )
=> ( ~ ( memberP @ X1 @ X3 )
| ~ ( memberP @ X2 @ X3 )
| ~ ( lt @ Z @ X3 )
| ( leq @ Z @ X3 ) ) )
& ( ( app @ ( app @ X1 @ ( cons @ Z @ nil ) ) @ X2 )
= U )
& ( ssList @ X2 ) )
& ( ssList @ X1 ) )
& ( ssItem @ Z ) ) ) ) ) ) ) ).
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 )
| ~ ( frontsegP @ X @ W )
| ~ ( totalorderedP @ W )
| ( nil = U )
| ? [Y: $i] :
( ( totalorderedP @ Y )
& ( segmentP @ Y @ W )
& ( frontsegP @ X @ Y )
& ( neq @ W @ Y )
& ( ssList @ Y ) )
| ? [Z: $i] :
( ? [X1: $i] :
( ? [X2: $i] :
( ! [X3: $i] :
( ( ssItem @ X3 )
=> ( ~ ( memberP @ X1 @ X3 )
| ~ ( memberP @ X2 @ X3 )
| ~ ( lt @ Z @ X3 )
| ( leq @ Z @ X3 ) ) )
& ( ( app @ ( app @ X1 @ ( cons @ Z @ nil ) ) @ X2 )
= U )
& ( ssList @ X2 ) )
& ( ssList @ X1 ) )
& ( ssItem @ Z ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl195,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( lt @ X2 @ ( sk__51 @ 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_cl3154,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X2 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ X2 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ ( sk__51 @ X2 @ X1 @ X0 ) )
| ( leq @ X0 @ ( sk__51 @ X2 @ X1 @ X0 ) )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl186]) ).
thf(zip_derived_cl3157,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ X0 @ ( sk__51 @ X2 @ X1 @ X0 ) )
| ~ ( ssItem @ ( sk__51 @ X2 @ X1 @ X0 ) )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ X2 )
!= sk__47 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3154]) ).
thf(zip_derived_cl196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( leq @ X2 @ ( sk__51 @ 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_cl3177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X2 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ X2 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ ( sk__51 @ X2 @ X1 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3157,zip_derived_cl196]) ).
thf(zip_derived_cl192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ssItem @ ( sk__51 @ 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_cl3178,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_cl3177,zip_derived_cl192]) ).
thf(zip_derived_cl3187,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssList @ nil )
| ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl3178]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3194,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ ( cons @ X0 @ nil ) )
| ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3187,zip_derived_cl83]) ).
thf(zip_derived_cl3211,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl3194]) ).
thf(zip_derived_cl83_001,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3213,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3211,zip_derived_cl83]) ).
thf(zip_derived_cl3214,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__47 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3213]) ).
thf(zip_derived_cl3219,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
!= sk__47 )
| ~ ( ssItem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl3214]) ).
thf(zip_derived_cl3224,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
!= sk__47 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3219]) ).
thf(zip_derived_cl3256,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( X0 != sk__47 )
| ~ ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ ( tl @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl3224]) ).
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(zip_derived_cl3331,plain,
! [X0: $i] :
( ~ ( ssList @ ( tl @ X0 ) )
| ( X0 != sk__47 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl3256,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_cl3332,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( X0 != sk__47 ) ),
inference(clc,[status(thm)],[zip_derived_cl3331,zip_derived_cl93]) ).
thf(zip_derived_cl3333,plain,
( ( nil = sk__47 )
| ~ ( ssList @ sk__47 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3332]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3334,plain,
nil = sk__47,
inference(demod,[status(thm)],[zip_derived_cl3333,zip_derived_cl190]) ).
thf(zip_derived_cl197,plain,
nil != sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3335,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3334,zip_derived_cl197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC247+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vtO2ZQwZkm true
% 0.14/0.34 % Computer : n007.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 : Mon Aug 28 17:08:43 EDT 2023
% 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
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.54/0.63 % Total configuration time : 435
% 0.54/0.63 % Estimated wc time : 1092
% 0.54/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.37/1.18 % Solved by fo/fo6_bce.sh.
% 4.37/1.18 % BCE start: 205
% 4.37/1.18 % BCE eliminated: 4
% 4.37/1.18 % PE start: 201
% 4.37/1.18 logic: eq
% 4.37/1.18 % PE eliminated: 7
% 4.37/1.18 % done 338 iterations in 0.480s
% 4.37/1.18 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.37/1.18 % SZS output start Refutation
% See solution above
% 4.37/1.18
% 4.37/1.18
% 4.37/1.18 % Terminating...
% 4.62/1.23 % Runner terminated.
% 4.62/1.25 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------