TSTP Solution File: SWC415+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC415+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.nfsxWZIHpe true
% Computer : n022.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 21:31:26 EDT 2023
% Result : Theorem 0.58s 0.78s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 23 unt; 8 typ; 0 def)
% Number of atoms : 133 ( 54 equ; 0 cnn)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 279 ( 69 ~; 60 |; 14 &; 123 @)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 34 ( 0 ^; 30 !; 4 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(nil_type,type,
nil: $i ).
thf(sk__8_type,type,
sk__8: $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(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(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] :
( ( neq @ nil @ X )
& ( ( tl @ X )
= Y )
& ( W != Y )
& ( ssList @ Y ) )
| ? [Z: $i] :
( ( neq @ nil @ V )
& ( U = Z )
& ( ( tl @ V )
= Z )
& ( ssList @ Z ) ) )
& ( ~ ( 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] :
( ( neq @ nil @ X )
& ( ( tl @ X )
= Y )
& ( W != Y )
& ( ssList @ Y ) )
| ? [Z: $i] :
( ( neq @ nil @ V )
& ( U = Z )
& ( ( tl @ V )
= Z )
& ( ssList @ Z ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ( ( tl @ sk__9 )
!= X0 )
| ( sk__8 = X0 )
| ~ ( ssList @ X0 )
| ~ ( neq @ nil @ sk__9 )
| ~ ( 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_cl51,plain,
sk__6 = sk__8,
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_cl58_002,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_cl364,plain,
neq @ sk__7 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl453,plain,
! [X0: $i] :
( ( ( tl @ sk__7 )
!= X0 )
| ( sk__6 = X0 )
| ~ ( ssList @ X0 )
| ~ ( neq @ nil @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl58,zip_derived_cl51,zip_derived_cl58,zip_derived_cl58,zip_derived_cl364]) ).
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_cl57,plain,
! [X1: $i] :
( ( sk__6 != X1 )
| ( ( tl @ sk__7 )
!= X1 )
| ~ ( ssList @ X1 )
| ~ ( neq @ nil @ sk__7 )
| ~ ( neq @ sk__9 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58_004,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl364_005,plain,
neq @ sk__7 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl405,plain,
! [X1: $i] :
( ( sk__6 != X1 )
| ( ( tl @ sk__7 )
!= X1 )
| ~ ( ssList @ X1 )
| ~ ( neq @ nil @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl58,zip_derived_cl364]) ).
thf(zip_derived_cl407,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ( nil = sk__7 )
| ~ ( ssList @ sk__7 )
| ~ ( ssList @ X0 )
| ( ( tl @ sk__7 )
!= X0 )
| ( sk__6 != X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl405]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl8,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_006,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_cl409,plain,
! [X0: $i] :
( ( nil = sk__7 )
| ~ ( ssList @ X0 )
| ( ( tl @ sk__7 )
!= X0 )
| ( sk__6 != X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl407,zip_derived_cl8,zip_derived_cl362]) ).
thf(zip_derived_cl364_007,plain,
neq @ sk__7 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl52]) ).
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_cl376,plain,
( ~ ( ssList @ sk__7 )
| ( sk__7 != nil )
| ~ ( ssList @ nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl364,zip_derived_cl5]) ).
thf(zip_derived_cl362_008,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl58]) ).
thf(zip_derived_cl8_009,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl377,plain,
sk__7 != nil,
inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl362,zip_derived_cl8]) ).
thf(zip_derived_cl410,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( ( tl @ sk__7 )
!= X0 )
| ( sk__6 != X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl409,zip_derived_cl377]) ).
thf(zip_derived_cl454,plain,
! [X0: $i] :
( ~ ( neq @ nil @ sk__7 )
| ~ ( ssList @ X0 )
| ( ( tl @ sk__7 )
!= X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl453,zip_derived_cl410]) ).
thf(zip_derived_cl456,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ( nil = sk__7 )
| ~ ( ssList @ sk__7 )
| ( ( tl @ sk__7 )
!= X0 )
| ~ ( ssList @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl454]) ).
thf(zip_derived_cl8_010,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl362_011,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl58]) ).
thf(zip_derived_cl458,plain,
! [X0: $i] :
( ( nil = sk__7 )
| ( ( tl @ sk__7 )
!= X0 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl456,zip_derived_cl8,zip_derived_cl362]) ).
thf(zip_derived_cl377_012,plain,
sk__7 != nil,
inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl362,zip_derived_cl8]) ).
thf(zip_derived_cl459,plain,
! [X0: $i] :
( ( ( tl @ sk__7 )
!= X0 )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl458,zip_derived_cl377]) ).
thf(zip_derived_cl463,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( ( tl @ sk__7 )
!= ( tl @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl459]) ).
thf(zip_derived_cl477,plain,
( ( nil = sk__7 )
| ~ ( ssList @ sk__7 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl463]) ).
thf(zip_derived_cl362_013,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl58]) ).
thf(zip_derived_cl478,plain,
nil = sk__7,
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl362]) ).
thf(zip_derived_cl377_014,plain,
sk__7 != nil,
inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl362,zip_derived_cl8]) ).
thf(zip_derived_cl479,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl478,zip_derived_cl377]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC415+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nfsxWZIHpe true
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 16:00:24 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.43/0.64 % Total configuration time : 435
% 0.43/0.64 % Estimated wc time : 1092
% 0.43/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.78 % Solved by fo/fo3_bce.sh.
% 0.58/0.78 % BCE start: 61
% 0.58/0.78 % BCE eliminated: 2
% 0.58/0.78 % PE start: 59
% 0.58/0.78 logic: eq
% 0.58/0.78 % PE eliminated: 2
% 0.58/0.78 % done 61 iterations in 0.035s
% 0.58/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.78 % SZS output start Refutation
% See solution above
% 0.58/0.78
% 0.58/0.78
% 0.58/0.78 % Terminating...
% 1.55/0.85 % Runner terminated.
% 1.55/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------