TSTP Solution File: SWC204+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC204+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.1RZxkcKLZr true
% Computer : n001.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 21:29:51 EDT 2023
% Result : Theorem 1.30s 0.83s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 20
% Syntax : Number of formulae : 79 ( 28 unt; 12 typ; 0 def)
% Number of atoms : 192 ( 83 equ; 0 cnn)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 413 ( 97 ~; 93 |; 12 &; 191 @)
% ( 1 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 49 ( 0 ^; 45 !; 4 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(hd_type,type,
hd: $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(tl_type,type,
tl: $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(ax24,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssList @ ( tl @ U ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
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(ax28,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ nil @ U )
= U ) ) ).
thf(zip_derived_cl22,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 )
| ( ( ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ? [Z: $i] :
( ( neq @ nil @ X )
& ( ( app @ W @ Z )
= Y )
& ( ( tl @ X )
= Z )
& ( ssList @ Z ) )
& ( X != Y )
& ( ssList @ Y ) )
| ( neq @ U @ nil ) )
& ( ~ ( 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] :
( ( neq @ nil @ X )
& ( ( app @ W @ Z )
= Y )
& ( ( tl @ X )
= Z )
& ( ssList @ Z ) )
& ( X != Y )
& ( ssList @ Y ) )
| ( neq @ U @ nil ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__9 = X0 )
| ~ ( neq @ nil @ sk__9 )
| ( ( app @ sk__8 @ X1 )
!= X0 )
| ( ( tl @ sk__9 )
!= X1 )
| ~ ( ssList @ X1 )
| ~ ( neq @ sk__9 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58_001,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl56,plain,
( ~ ( neq @ sk__6 @ nil )
| ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57,plain,
( ~ ( neq @ sk__6 @ nil )
| ~ ( neq @ sk__9 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58_002,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl363,plain,
( ~ ( neq @ sk__6 @ nil )
| ~ ( neq @ sk__7 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl58]) ).
thf(zip_derived_cl365,plain,
~ ( neq @ sk__6 @ nil ),
inference(clc,[status(thm)],[zip_derived_cl56,zip_derived_cl363]) ).
thf(zip_derived_cl6_003,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl400,plain,
( ~ ( ssList @ sk__6 )
| ( sk__6 = nil )
| ~ ( ssList @ nil ) ),
inference('sup+',[status(thm)],[zip_derived_cl365,zip_derived_cl6]) ).
thf(zip_derived_cl49,plain,
ssList @ sk__6,
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_cl402,plain,
sk__6 = nil,
inference(demod,[status(thm)],[zip_derived_cl400,zip_derived_cl49,zip_derived_cl8]) ).
thf(zip_derived_cl406,plain,
nil = sk__8,
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl402]) ).
thf(zip_derived_cl58_004,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58_005,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52,plain,
( ( neq @ sk__7 @ nil )
| ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl386,plain,
neq @ sk__7 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl664,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__7 = X0 )
| ~ ( neq @ nil @ sk__7 )
| ( ( app @ nil @ X1 )
!= X0 )
| ( ( tl @ sk__7 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl58,zip_derived_cl58,zip_derived_cl406,zip_derived_cl58,zip_derived_cl58,zip_derived_cl386]) ).
thf(zip_derived_cl667,plain,
! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ( ( tl @ sk__7 )
!= X0 )
| ~ ( neq @ nil @ sk__7 )
| ( sk__7 = X1 )
| ~ ( ssList @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl664]) ).
thf(zip_derived_cl672,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( sk__7 = X1 )
| ~ ( neq @ nil @ sk__7 )
| ( ( tl @ sk__7 )
!= X0 )
| ~ ( ssList @ X0 )
| ( X0 != X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl667]) ).
thf(zip_derived_cl678,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( ( tl @ sk__7 )
!= X0 )
| ~ ( neq @ nil @ sk__7 )
| ( sk__7 = X0 )
| ~ ( ssList @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl672]) ).
thf(zip_derived_cl679,plain,
! [X0: $i] :
( ( sk__7 = X0 )
| ~ ( neq @ nil @ sk__7 )
| ( ( tl @ sk__7 )
!= X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl678]) ).
thf(zip_derived_cl681,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ( nil = sk__7 )
| ~ ( ssList @ sk__7 )
| ~ ( ssList @ X0 )
| ( ( tl @ sk__7 )
!= X0 )
| ( sk__7 = X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl679]) ).
thf(zip_derived_cl8_006,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl59,plain,
ssList @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58_007,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl362,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl58]) ).
thf(zip_derived_cl683,plain,
! [X0: $i] :
( ( nil = sk__7 )
| ~ ( ssList @ X0 )
| ( ( tl @ sk__7 )
!= X0 )
| ( sk__7 = X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl681,zip_derived_cl8,zip_derived_cl362]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl386_008,plain,
neq @ sk__7 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl390,plain,
( ~ ( ssList @ sk__7 )
| ( sk__7 != nil )
| ~ ( ssList @ nil ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl386]) ).
thf(zip_derived_cl362_009,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl58]) ).
thf(zip_derived_cl8_010,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl392,plain,
sk__7 != nil,
inference(demod,[status(thm)],[zip_derived_cl390,zip_derived_cl362,zip_derived_cl8]) ).
thf(zip_derived_cl684,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( ( tl @ sk__7 )
!= X0 )
| ( sk__7 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl683,zip_derived_cl392]) ).
thf(zip_derived_cl688,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( sk__7
= ( tl @ X0 ) )
| ( ( tl @ sk__7 )
!= ( tl @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl684]) ).
thf(zip_derived_cl698,plain,
( ( sk__7
= ( tl @ sk__7 ) )
| ( nil = sk__7 )
| ~ ( ssList @ sk__7 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl688]) ).
thf(zip_derived_cl362_011,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl58]) ).
thf(zip_derived_cl699,plain,
( ( sk__7
= ( tl @ sk__7 ) )
| ( nil = sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl362]) ).
thf(zip_derived_cl392_012,plain,
sk__7 != nil,
inference(demod,[status(thm)],[zip_derived_cl390,zip_derived_cl362,zip_derived_cl8]) ).
thf(zip_derived_cl700,plain,
( sk__7
= ( tl @ sk__7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl699,zip_derived_cl392]) ).
thf(ax78,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ( cons @ ( hd @ U ) @ ( tl @ U ) )
= U ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax78]) ).
thf(ax18,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
!= U ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl471,plain,
! [X0: $i] :
( ( X0
!= ( tl @ X0 ) )
| ~ ( ssList @ X0 )
| ( nil = X0 )
| ~ ( ssList @ ( tl @ X0 ) )
| ~ ( ssItem @ ( hd @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl9]) ).
thf(zip_derived_cl481,plain,
! [X0: $i] :
( ( X0
!= ( tl @ X0 ) )
| ~ ( ssList @ X0 )
| ( nil = X0 )
| ~ ( ssItem @ ( hd @ X0 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl471]) ).
thf(ax22,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssItem @ ( hd @ U ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl497,plain,
! [X0: $i] :
( ( nil = X0 )
| ~ ( ssList @ X0 )
| ( X0
!= ( tl @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl481,zip_derived_cl16]) ).
thf(zip_derived_cl714,plain,
( ( sk__7 != sk__7 )
| ~ ( ssList @ sk__7 )
| ( nil = sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl700,zip_derived_cl497]) ).
thf(zip_derived_cl362_013,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl58]) ).
thf(zip_derived_cl722,plain,
( ( sk__7 != sk__7 )
| ( nil = sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl714,zip_derived_cl362]) ).
thf(zip_derived_cl723,plain,
nil = sk__7,
inference(simplify,[status(thm)],[zip_derived_cl722]) ).
thf(zip_derived_cl392_014,plain,
sk__7 != nil,
inference(demod,[status(thm)],[zip_derived_cl390,zip_derived_cl362,zip_derived_cl8]) ).
thf(zip_derived_cl724,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl723,zip_derived_cl392]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC204+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1RZxkcKLZr true
% 0.14/0.34 % Computer : n001.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 18:33:50 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 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/fo4.sh running for 50s
% 1.30/0.83 % Solved by fo/fo3_bce.sh.
% 1.30/0.83 % BCE start: 61
% 1.30/0.83 % BCE eliminated: 2
% 1.30/0.83 % PE start: 59
% 1.30/0.83 logic: eq
% 1.30/0.83 % PE eliminated: 2
% 1.30/0.83 % done 83 iterations in 0.077s
% 1.30/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/0.83 % SZS output start Refutation
% See solution above
% 1.30/0.83
% 1.30/0.83
% 1.30/0.83 % Terminating...
% 1.56/0.97 % Runner terminated.
% 1.56/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------