TSTP Solution File: SWC325+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC325+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.uYVjnXvuOt true
% Computer : n012.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 21:30:46 EDT 2023
% Result : Theorem 1.12s 0.84s
% Output : Refutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 86 ( 37 unt; 12 typ; 0 def)
% Number of atoms : 176 ( 81 equ; 0 cnn)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 376 ( 79 ~; 74 |; 10 &; 195 @)
% ( 1 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 40 ( 0 ^; 36 !; 4 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__5_type,type,
sk__5: $i ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
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] :
( ( ( app @ Z @ Y )
= U )
& ( ( app @ Y @ Z )
= V )
& ( ssList @ Z ) )
& ( ssList @ Y ) )
| ( ( nil != W )
& ( nil = X ) )
| ( ! [X1: $i] :
( ( ssItem @ X1 )
=> ! [X2: $i] :
( ( ssList @ X2 )
=> ( ( ( app @ ( cons @ X1 @ nil ) @ X2 )
!= W )
| ( ( app @ X2 @ ( cons @ X1 @ nil ) )
!= X ) ) ) )
& ( 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 )
| ? [Y: $i] :
( ? [Z: $i] :
( ( ( app @ Z @ Y )
= U )
& ( ( app @ Y @ Z )
= V )
& ( ssList @ Z ) )
& ( ssList @ Y ) )
| ( ( nil != W )
& ( nil = X ) )
| ( ! [X1: $i] :
( ( ssItem @ X1 )
=> ! [X2: $i] :
( ( ssList @ X2 )
=> ( ( ( app @ ( cons @ X1 @ nil ) @ X2 )
!= W )
| ( ( app @ X2 @ ( cons @ X1 @ nil ) )
!= X ) ) ) )
& ( neq @ X @ nil ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl33,plain,
( ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__7 )
| ~ ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl185,plain,
( ~ ( ssList @ sk__7 )
| ( sk__7 = nil )
| ~ ( ssList @ nil )
| ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__7 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl33]) ).
thf(zip_derived_cl36,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37,plain,
ssList @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36_001,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl36]) ).
thf(zip_derived_cl36_002,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl8,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl36_003,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl759,plain,
( ( sk__5 = nil )
| ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl36,zip_derived_cl190,zip_derived_cl36,zip_derived_cl8,zip_derived_cl36]) ).
thf(ax84,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ U @ nil )
= U ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf(zip_derived_cl26_004,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ X1 @ X0 )
!= sk__5 )
| ( ( app @ X0 @ X1 )
!= sk__4 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl191,plain,
! [X0: $i] :
( ( X0 != sk__5 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ( ( app @ nil @ X0 )
!= sk__4 )
| ~ ( ssList @ nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl29]) ).
thf(zip_derived_cl8_005,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl193,plain,
! [X0: $i] :
( ( X0 != sk__5 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ( ( app @ nil @ X0 )
!= sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl8]) ).
thf(zip_derived_cl194,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
!= sk__4 )
| ~ ( ssList @ X0 )
| ( X0 != sk__5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl197,plain,
( ( nil != sk__4 )
| ~ ( ssList @ nil )
| ( nil != sk__5 )
| ~ ( ssList @ nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl194]) ).
thf(zip_derived_cl8_006,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl8_007,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl199,plain,
( ( nil != sk__4 )
| ( nil != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl8,zip_derived_cl8]) ).
thf(zip_derived_cl35,plain,
( ( nil = sk__6 )
| ( nil != sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30,plain,
sk__4 = sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl187,plain,
( ( nil = sk__4 )
| ( nil != sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl30]) ).
thf(zip_derived_cl36_008,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl188,plain,
( ( nil = sk__4 )
| ( nil != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl36]) ).
thf(zip_derived_cl201,plain,
nil != sk__5,
inference(clc,[status(thm)],[zip_derived_cl199,zip_derived_cl188]) ).
thf(zip_derived_cl760,plain,
( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__5 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl759,zip_derived_cl201]) ).
thf(zip_derived_cl29_009,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ X1 @ X0 )
!= sk__5 )
| ( ( app @ X0 @ X1 )
!= sk__4 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl767,plain,
( ( sk__5 != sk__5 )
| ~ ( ssList @ sk__9 )
| ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
!= sk__4 )
| ~ ( ssList @ ( cons @ sk__8 @ nil ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl760,zip_derived_cl29]) ).
thf(zip_derived_cl6_010,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl31,plain,
( ( ssList @ sk__9 )
| ~ ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl183,plain,
( ~ ( ssList @ sk__7 )
| ( sk__7 = nil )
| ~ ( ssList @ nil )
| ( ssList @ sk__9 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl31]) ).
thf(zip_derived_cl36_011,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl190_012,plain,
ssList @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl36]) ).
thf(zip_derived_cl36_013,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_014,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl249,plain,
( ( sk__5 = nil )
| ( ssList @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl36,zip_derived_cl190,zip_derived_cl36,zip_derived_cl8]) ).
thf(zip_derived_cl201_015,plain,
nil != sk__5,
inference(clc,[status(thm)],[zip_derived_cl199,zip_derived_cl188]) ).
thf(zip_derived_cl250,plain,
ssList @ sk__9,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl249,zip_derived_cl201]) ).
thf(zip_derived_cl6_016,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl32,plain,
( ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__6 )
| ~ ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl184,plain,
( ~ ( ssList @ sk__7 )
| ( sk__7 = nil )
| ~ ( ssList @ nil )
| ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__6 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl32]) ).
thf(zip_derived_cl36_017,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl190_018,plain,
ssList @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl36]) ).
thf(zip_derived_cl36_019,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_020,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl30_021,plain,
sk__4 = sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl702,plain,
( ( sk__5 = nil )
| ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl36,zip_derived_cl190,zip_derived_cl36,zip_derived_cl8,zip_derived_cl30]) ).
thf(zip_derived_cl201_022,plain,
nil != sk__5,
inference(clc,[status(thm)],[zip_derived_cl199,zip_derived_cl188]) ).
thf(zip_derived_cl703,plain,
( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__4 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl702,zip_derived_cl201]) ).
thf(zip_derived_cl783,plain,
( ( sk__5 != sk__5 )
| ( sk__4 != sk__4 )
| ~ ( ssList @ ( cons @ sk__8 @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl767,zip_derived_cl250,zip_derived_cl703]) ).
thf(zip_derived_cl784,plain,
~ ( ssList @ ( cons @ sk__8 @ nil ) ),
inference(simplify,[status(thm)],[zip_derived_cl783]) ).
thf(zip_derived_cl797,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl784]) ).
thf(zip_derived_cl8_023,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl6_024,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl34,plain,
( ( ssItem @ sk__8 )
| ~ ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl186,plain,
( ~ ( ssList @ sk__7 )
| ( sk__7 = nil )
| ~ ( ssList @ nil )
| ( ssItem @ sk__8 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl34]) ).
thf(zip_derived_cl36_025,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl190_026,plain,
ssList @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl36]) ).
thf(zip_derived_cl36_027,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_028,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl225,plain,
( ( sk__5 = nil )
| ( ssItem @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl36,zip_derived_cl190,zip_derived_cl36,zip_derived_cl8]) ).
thf(zip_derived_cl201_029,plain,
nil != sk__5,
inference(clc,[status(thm)],[zip_derived_cl199,zip_derived_cl188]) ).
thf(zip_derived_cl226,plain,
ssItem @ sk__8,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl225,zip_derived_cl201]) ).
thf(zip_derived_cl798,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl797,zip_derived_cl8,zip_derived_cl226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC325+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uYVjnXvuOt true
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 17:28:24 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.12/0.84 % Solved by fo/fo3_bce.sh.
% 1.12/0.84 % BCE start: 39
% 1.12/0.84 % BCE eliminated: 2
% 1.12/0.84 % PE start: 37
% 1.12/0.84 logic: eq
% 1.12/0.84 % PE eliminated: -2
% 1.12/0.84 % done 139 iterations in 0.072s
% 1.12/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.12/0.84 % SZS output start Refutation
% See solution above
% 1.12/0.84
% 1.12/0.84
% 1.12/0.84 % Terminating...
% 1.93/0.94 % Runner terminated.
% 1.93/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------