TSTP Solution File: SWC122+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC122+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.38xroJ2WDX true
% Computer : n008.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 21:29:18 EDT 2023
% Result : Theorem 0.56s 0.93s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 56 ( 26 unt; 11 typ; 0 def)
% Number of atoms : 115 ( 26 equ; 0 cnn)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 280 ( 49 ~; 46 |; 9 &; 161 @)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 31 ( 0 ^; 28 !; 3 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__48_type,type,
sk__48: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(rearsegP_type,type,
rearsegP: $i > $i > $o ).
thf(sk__49_type,type,
sk__49: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(sk__47_type,type,
sk__47: $i ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(sk__50_type,type,
sk__50: $i ).
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 )
| ( ( nil != W )
& ( nil = X ) )
| ( ( neq @ U @ nil )
& ( segmentP @ V @ U ) )
| ( ( neq @ X @ nil )
& ( ~ ( neq @ W @ nil )
| ~ ( rearsegP @ X @ W ) ) ) ) ) ) ) ) ).
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 )
| ( ( nil != W )
& ( nil = X ) )
| ( ( neq @ U @ nil )
& ( segmentP @ V @ U ) )
| ( ( neq @ X @ nil )
& ( ~ ( neq @ W @ nil )
| ~ ( rearsegP @ X @ W ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl192,plain,
( ~ ( neq @ sk__47 @ nil )
| ~ ( segmentP @ sk__48 @ sk__47 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl195,plain,
( ~ ( neq @ sk__50 @ nil )
| ( neq @ sk__49 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl198,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl193,plain,
neq @ sk__48 @ nil,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204,plain,
neq @ sk__47 @ nil,
inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl198,zip_derived_cl193,zip_derived_cl194]) ).
thf(zip_derived_cl205,plain,
~ ( segmentP @ sk__48 @ sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl204]) ).
thf(ax84,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ U @ nil )
= U ) ) ).
thf(zip_derived_cl176,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf(zip_derived_cl196,plain,
( ~ ( neq @ sk__50 @ nil )
| ( rearsegP @ sk__50 @ sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl198_001,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl193_002,plain,
neq @ sk__48 @ nil,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl198_003,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194_004,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl206,plain,
rearsegP @ sk__48 @ sk__47,
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl198,zip_derived_cl193,zip_derived_cl198,zip_derived_cl194]) ).
thf(ax6,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( rearsegP @ U @ V )
<=> ? [W: $i] :
( ( ( app @ W @ V )
= U )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( rearsegP @ X1 @ X0 )
| ( ( app @ ( sk__6 @ X0 @ X1 ) @ X0 )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl349,plain,
( ~ ( ssList @ sk__47 )
| ( ( app @ ( sk__6 @ sk__47 @ sk__48 ) @ sk__47 )
= sk__48 )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl15]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl198_005,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl202,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl198]) ).
thf(zip_derived_cl355,plain,
( ( app @ ( sk__6 @ sk__47 @ sk__48 ) @ sk__47 )
= sk__48 ),
inference(demod,[status(thm)],[zip_derived_cl349,zip_derived_cl190,zip_derived_cl202]) ).
thf(ax7,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( segmentP @ U @ V )
<=> ? [W: $i] :
( ? [X: $i] :
( ( ( app @ ( app @ W @ V ) @ X )
= U )
& ( ssList @ X ) )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X3 @ X0 ) @ X1 )
!= X2 )
| ~ ( ssList @ X3 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl515,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ sk__47 )
| ~ ( ssList @ X1 )
| ( ( app @ sk__48 @ X1 )
!= X0 )
| ~ ( ssList @ ( sk__6 @ sk__47 @ sk__48 ) )
| ( segmentP @ X0 @ sk__47 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl355,zip_derived_cl21]) ).
thf(zip_derived_cl190_006,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl206_007,plain,
rearsegP @ sk__48 @ sk__47,
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl198,zip_derived_cl193,zip_derived_cl198,zip_derived_cl194]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( rearsegP @ X1 @ X0 )
| ( ssList @ ( sk__6 @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl383,plain,
( ~ ( ssList @ sk__47 )
| ( ssList @ ( sk__6 @ sk__47 @ sk__48 ) )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl16]) ).
thf(zip_derived_cl190_008,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl202_009,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl198]) ).
thf(zip_derived_cl388,plain,
ssList @ ( sk__6 @ sk__47 @ sk__48 ),
inference(demod,[status(thm)],[zip_derived_cl383,zip_derived_cl190,zip_derived_cl202]) ).
thf(zip_derived_cl525,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( ( app @ sk__48 @ X1 )
!= X0 )
| ( segmentP @ X0 @ sk__47 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl515,zip_derived_cl190,zip_derived_cl388]) ).
thf(zip_derived_cl643,plain,
! [X0: $i] :
( ~ ( ssList @ sk__48 )
| ~ ( ssList @ nil )
| ( sk__48 != X0 )
| ( segmentP @ X0 @ sk__47 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl525]) ).
thf(zip_derived_cl202_010,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl198]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl645,plain,
! [X0: $i] :
( ( sk__48 != X0 )
| ( segmentP @ X0 @ sk__47 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl643,zip_derived_cl202,zip_derived_cl83]) ).
thf(zip_derived_cl646,plain,
( ~ ( ssList @ sk__48 )
| ( segmentP @ sk__48 @ sk__47 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl645]) ).
thf(zip_derived_cl202_011,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl198]) ).
thf(zip_derived_cl647,plain,
segmentP @ sk__48 @ sk__47,
inference(demod,[status(thm)],[zip_derived_cl646,zip_derived_cl202]) ).
thf(zip_derived_cl648,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl647]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC122+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.38xroJ2WDX true
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 18:59:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.93 % Solved by fo/fo13.sh.
% 0.56/0.93 % done 226 iterations in 0.157s
% 0.56/0.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.93 % SZS output start Refutation
% See solution above
% 0.56/0.93
% 0.56/0.93
% 0.56/0.93 % Terminating...
% 1.58/1.00 % Runner terminated.
% 1.58/1.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------