TSTP Solution File: SWC025+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC025+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aOX3JvxJ0z 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 21:28:36 EDT 2023
% Result : Theorem 0.54s 0.85s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 77 ( 19 unt; 12 typ; 0 def)
% Number of atoms : 187 ( 73 equ; 0 cnn)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 410 ( 82 ~; 98 |; 10 &; 206 @)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 46 ( 0 ^; 42 !; 4 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(duplicatefreeP_type,type,
duplicatefreeP: $i > $o ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(sk__9_type,type,
sk__9: $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__10_type,type,
sk__10: $i > $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 )
| ~ ( duplicatefreeP @ W )
| ? [Y: $i] :
( ( ( ( memberP @ X @ Y )
& ~ ( memberP @ W @ Y ) )
| ( ( memberP @ W @ Y )
& ~ ( memberP @ X @ Y ) ) )
& ( ssItem @ Y ) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ( nil != U )
| ( nil = 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 )
| ~ ( duplicatefreeP @ W )
| ? [Y: $i] :
( ( ( ( memberP @ X @ Y )
& ~ ( memberP @ W @ Y ) )
| ( ( memberP @ W @ Y )
& ~ ( memberP @ X @ Y ) ) )
& ( ssItem @ Y ) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ( nil != U )
| ( nil = V ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl29,plain,
ssList @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax20,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil = U )
| ? [V: $i] :
( ? [W: $i] :
( ( ( cons @ W @ V )
= U )
& ( ssItem @ W ) )
& ( ssList @ V ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( ssItem @ ( sk__10 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl95,plain,
( ( nil = sk__11 )
| ( ssItem @ ( sk__10 @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl16]) ).
thf(zip_derived_cl29_001,plain,
ssList @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ( ( cons @ ( sk__10 @ X0 ) @ ( sk__9 @ X0 ) )
= X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl173,plain,
( ( nil = sk__11 )
| ( ( cons @ ( sk__10 @ sk__11 ) @ ( sk__9 @ sk__11 ) )
= sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl17]) ).
thf(ax37,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( memberP @ ( cons @ V @ W ) @ U )
<=> ( ( U = V )
| ( memberP @ W @ U ) ) ) ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ( X1 != X0 )
| ( memberP @ ( cons @ X0 @ X2 ) @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl272,plain,
! [X0: $i] :
( ( memberP @ sk__11 @ X0 )
| ( nil = sk__11 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ ( sk__9 @ sk__11 ) )
| ( X0
!= ( sk__10 @ sk__11 ) )
| ~ ( ssItem @ ( sk__10 @ sk__11 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl173,zip_derived_cl24]) ).
thf(zip_derived_cl29_002,plain,
ssList @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( ssList @ ( sk__9 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl99,plain,
( ( nil = sk__11 )
| ( ssList @ ( sk__9 @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl18]) ).
thf(zip_derived_cl288,plain,
! [X0: $i] :
( ~ ( ssItem @ ( sk__10 @ sk__11 ) )
| ( X0
!= ( sk__10 @ sk__11 ) )
| ~ ( ssItem @ X0 )
| ( nil = sk__11 )
| ( memberP @ sk__11 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl272,zip_derived_cl99]) ).
thf(zip_derived_cl95_003,plain,
( ( nil = sk__11 )
| ( ssItem @ ( sk__10 @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl16]) ).
thf(zip_derived_cl289,plain,
! [X0: $i] :
( ( memberP @ sk__11 @ X0 )
| ( nil = sk__11 )
| ~ ( ssItem @ X0 )
| ( X0
!= ( sk__10 @ sk__11 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl288,zip_derived_cl95]) ).
thf(zip_derived_cl297,plain,
( ( nil = sk__11 )
| ( ( sk__10 @ sk__11 )
!= ( sk__10 @ sk__11 ) )
| ( nil = sk__11 )
| ( memberP @ sk__11 @ ( sk__10 @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl289]) ).
thf(zip_derived_cl299,plain,
( ( memberP @ sk__11 @ ( sk__10 @ sk__11 ) )
| ( nil = sk__11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl297]) ).
thf(zip_derived_cl38,plain,
! [X0: $i] :
( ( memberP @ sk__14 @ X0 )
| ~ ( memberP @ sk__13 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39,plain,
sk__12 = sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36,plain,
sk__11 = sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl155,plain,
! [X0: $i] :
( ( memberP @ sk__12 @ X0 )
| ~ ( memberP @ sk__11 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl39,zip_derived_cl36]) ).
thf(zip_derived_cl40,plain,
ssList @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39_004,plain,
sk__12 = sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44,plain,
ssList @ sk__12,
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl39]) ).
thf(zip_derived_cl17_005,plain,
! [X0: $i] :
( ( ( cons @ ( sk__10 @ X0 ) @ ( sk__9 @ X0 ) )
= X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl174,plain,
( ( nil = sk__12 )
| ( ( cons @ ( sk__10 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
= sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl17]) ).
thf(zip_derived_cl24_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ( X1 != X0 )
| ( memberP @ ( cons @ X0 @ X2 ) @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl339,plain,
! [X0: $i] :
( ( memberP @ sk__12 @ X0 )
| ( nil = sk__12 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ ( sk__9 @ sk__12 ) )
| ( X0
!= ( sk__10 @ sk__12 ) )
| ~ ( ssItem @ ( sk__10 @ sk__12 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl174,zip_derived_cl24]) ).
thf(zip_derived_cl31,plain,
( ( nil = sk__12 )
| ( nil = sk__11 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ( memberP @ sk__13 @ X0 )
| ~ ( memberP @ sk__14 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36_007,plain,
sk__11 = sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39_008,plain,
sk__12 = sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ( memberP @ sk__11 @ X0 )
| ~ ( memberP @ sk__12 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl36,zip_derived_cl39]) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ( memberP @ nil @ X0 )
| ( nil = sk__12 )
| ~ ( ssItem @ X0 )
| ~ ( memberP @ sk__12 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl63]) ).
thf(ax38,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ~ ( memberP @ nil @ U ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl161,plain,
! [X0: $i] :
( ~ ( memberP @ sk__12 @ X0 )
| ~ ( ssItem @ X0 )
| ( nil = sk__12 ) ),
inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl26]) ).
thf(zip_derived_cl472,plain,
! [X0: $i] :
( ~ ( ssItem @ ( sk__10 @ sk__12 ) )
| ( X0
!= ( sk__10 @ sk__12 ) )
| ~ ( ssList @ ( sk__9 @ sk__12 ) )
| ~ ( ssItem @ X0 )
| ( nil = sk__12 ) ),
inference(clc,[status(thm)],[zip_derived_cl339,zip_derived_cl161]) ).
thf(zip_derived_cl44_009,plain,
ssList @ sk__12,
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl39]) ).
thf(zip_derived_cl16_010,plain,
! [X0: $i] :
( ( ssItem @ ( sk__10 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl96,plain,
( ( nil = sk__12 )
| ( ssItem @ ( sk__10 @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl16]) ).
thf(zip_derived_cl473,plain,
! [X0: $i] :
( ( nil = sk__12 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ ( sk__9 @ sk__12 ) )
| ( X0
!= ( sk__10 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl472,zip_derived_cl96]) ).
thf(zip_derived_cl44_011,plain,
ssList @ sk__12,
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl39]) ).
thf(zip_derived_cl18_012,plain,
! [X0: $i] :
( ( ssList @ ( sk__9 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl100,plain,
( ( nil = sk__12 )
| ( ssList @ ( sk__9 @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl18]) ).
thf(zip_derived_cl474,plain,
! [X0: $i] :
( ( X0
!= ( sk__10 @ sk__12 ) )
| ~ ( ssItem @ X0 )
| ( nil = sk__12 ) ),
inference(clc,[status(thm)],[zip_derived_cl473,zip_derived_cl100]) ).
thf(zip_derived_cl475,plain,
( ( nil = sk__12 )
| ~ ( ssItem @ ( sk__10 @ sk__12 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl474]) ).
thf(zip_derived_cl96_013,plain,
( ( nil = sk__12 )
| ( ssItem @ ( sk__10 @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl16]) ).
thf(zip_derived_cl476,plain,
nil = sk__12,
inference(clc,[status(thm)],[zip_derived_cl475,zip_derived_cl96]) ).
thf(zip_derived_cl497,plain,
! [X0: $i] :
( ( memberP @ nil @ X0 )
| ~ ( memberP @ sk__11 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl476]) ).
thf(zip_derived_cl26_014,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl499,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ sk__11 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl497,zip_derived_cl26]) ).
thf(zip_derived_cl500,plain,
( ( nil = sk__11 )
| ~ ( ssItem @ ( sk__10 @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl499]) ).
thf(zip_derived_cl34,plain,
( ( nil != sk__11 )
| ( nil != sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl476_015,plain,
nil = sk__12,
inference(clc,[status(thm)],[zip_derived_cl475,zip_derived_cl96]) ).
thf(zip_derived_cl477,plain,
( ( nil != sk__11 )
| ( nil != nil ) ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl476]) ).
thf(zip_derived_cl478,plain,
nil != sk__11,
inference(simplify,[status(thm)],[zip_derived_cl477]) ).
thf(zip_derived_cl501,plain,
~ ( ssItem @ ( sk__10 @ sk__11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl500,zip_derived_cl478]) ).
thf(zip_derived_cl95_016,plain,
( ( nil = sk__11 )
| ( ssItem @ ( sk__10 @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl16]) ).
thf(zip_derived_cl478_017,plain,
nil != sk__11,
inference(simplify,[status(thm)],[zip_derived_cl477]) ).
thf(zip_derived_cl502,plain,
ssItem @ ( sk__10 @ sk__11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl95,zip_derived_cl478]) ).
thf(zip_derived_cl503,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl502]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC025+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aOX3JvxJ0z 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 17:47:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.52/0.62 % Total configuration time : 435
% 0.52/0.62 % Estimated wc time : 1092
% 0.52/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.85 % Solved by fo/fo4.sh.
% 0.54/0.85 % done 108 iterations in 0.077s
% 0.54/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.85 % SZS output start Refutation
% See solution above
% 0.54/0.85
% 0.54/0.85
% 0.54/0.85 % Terminating...
% 1.53/0.95 % Runner terminated.
% 1.53/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------