TSTP Solution File: SWC080+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC080+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.J7HlkNyI2F true
% Computer : n029.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 21:29:00 EDT 2023
% Result : Theorem 0.57s 0.87s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 74 ( 23 unt; 12 typ; 0 def)
% Number of atoms : 188 ( 23 equ; 0 cnn)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 514 ( 104 ~; 102 |; 11 &; 284 @)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 53 ( 0 ^; 48 !; 5 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
thf(frontsegP_type,type,
frontsegP: $i > $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(sk__51_type,type,
sk__51: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__50_type,type,
sk__50: $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(sk__48_type,type,
sk__48: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(ax5,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( frontsegP @ U @ V )
<=> ? [W: $i] :
( ( ( app @ V @ W )
= U )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ X1 @ X0 )
| ( ( app @ X0 @ ( sk__5 @ X0 @ X1 ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(ax28,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ nil @ U )
= U ) ) ).
thf(zip_derived_cl97,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
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_cl1703,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X2 )
| ( ( app @ X0 @ X2 )
!= X1 )
| ~ ( ssList @ nil )
| ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl21]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1712,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X2 )
| ( ( app @ X0 @ X2 )
!= X1 )
| ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1703,zip_derived_cl83]) ).
thf(zip_derived_cl1713,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X0 )
| ( ( app @ X0 @ X2 )
!= X1 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1712]) ).
thf(zip_derived_cl1761,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ ( app @ X0 @ X1 ) @ X0 )
| ~ ( ssList @ ( app @ X0 @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1713]) ).
thf(zip_derived_cl1822,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ X0 @ X1 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ ( sk__5 @ X1 @ X0 ) )
| ( segmentP @ X0 @ X1 )
| ~ ( ssList @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl1761]) ).
thf(zip_derived_cl1830,plain,
! [X0: $i,X1: $i] :
( ( segmentP @ X0 @ X1 )
| ~ ( ssList @ ( sk__5 @ X1 @ X0 ) )
| ~ ( ssList @ X1 )
| ~ ( frontsegP @ X0 @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1822]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ X1 @ X0 )
| ( ssList @ ( sk__5 @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1851,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ X0 @ X1 )
| ~ ( ssList @ X1 )
| ( segmentP @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1830,zip_derived_cl13]) ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ( ( neq @ X @ nil )
| ~ ( neq @ V @ nil ) )
& ( ! [Z: $i] :
( ~ ( frontsegP @ W @ Z )
| ~ ( frontsegP @ X @ Z )
| ~ ( neq @ Z @ nil )
| ~ ( ssList @ Z ) )
| ? [Y: $i] :
( ( segmentP @ U @ Y )
& ( segmentP @ V @ Y )
& ( neq @ Y @ nil )
& ( ssList @ Y ) )
| ~ ( neq @ V @ nil ) ) )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ( ( neq @ X @ nil )
| ~ ( neq @ V @ nil ) )
& ( ! [Z: $i] :
( ~ ( frontsegP @ W @ Z )
| ~ ( frontsegP @ X @ Z )
| ~ ( neq @ Z @ nil )
| ~ ( ssList @ Z ) )
| ? [Y: $i] :
( ( segmentP @ U @ Y )
& ( segmentP @ V @ Y )
& ( neq @ Y @ nil )
& ( ssList @ Y ) )
| ~ ( neq @ V @ nil ) ) )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl200,plain,
( ( neq @ sk__48 @ nil )
| ( neq @ sk__51 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194,plain,
( ~ ( neq @ sk__50 @ nil )
| ( neq @ sk__51 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl205,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1596,plain,
( ~ ( neq @ sk__48 @ nil )
| ( neq @ sk__51 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl205]) ).
thf(zip_derived_cl1601,plain,
neq @ sk__51 @ nil,
inference(clc,[status(thm)],[zip_derived_cl200,zip_derived_cl1596]) ).
thf(zip_derived_cl1851_001,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ X0 @ X1 )
| ~ ( ssList @ X1 )
| ( segmentP @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1830,zip_derived_cl13]) ).
thf(zip_derived_cl197,plain,
! [X0: $i] :
( ~ ( neq @ sk__50 @ nil )
| ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( neq @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl205_002,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204,plain,
( ( neq @ sk__48 @ nil )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1658,plain,
neq @ sk__48 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl204]) ).
thf(zip_derived_cl1741,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( neq @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl205,zip_derived_cl1658]) ).
thf(zip_derived_cl1854,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ sk__47 @ X0 )
| ~ ( ssList @ sk__47 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( neq @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1851,zip_derived_cl1741]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1859,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( neq @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1854,zip_derived_cl190]) ).
thf(zip_derived_cl1860,plain,
! [X0: $i] :
( ~ ( neq @ X0 @ nil )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( frontsegP @ sk__47 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1859]) ).
thf(zip_derived_cl1864,plain,
( ~ ( segmentP @ sk__48 @ sk__51 )
| ~ ( frontsegP @ sk__47 @ sk__51 )
| ~ ( ssList @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1601,zip_derived_cl1860]) ).
thf(zip_derived_cl202,plain,
( ( neq @ sk__48 @ nil )
| ( frontsegP @ sk__49 @ sk__51 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1631,plain,
( ( neq @ sk__48 @ nil )
| ( frontsegP @ sk__47 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl192]) ).
thf(zip_derived_cl196,plain,
( ~ ( neq @ sk__50 @ nil )
| ( frontsegP @ sk__49 @ sk__51 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl205_003,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_004,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1621,plain,
( ~ ( neq @ sk__48 @ nil )
| ( frontsegP @ sk__47 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl205,zip_derived_cl192]) ).
thf(zip_derived_cl1632,plain,
frontsegP @ sk__47 @ sk__51,
inference(clc,[status(thm)],[zip_derived_cl1631,zip_derived_cl1621]) ).
thf(zip_derived_cl193,plain,
( ~ ( neq @ sk__50 @ nil )
| ( ssList @ sk__51 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl205_005,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1594,plain,
( ~ ( neq @ sk__48 @ nil )
| ( ssList @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl205]) ).
thf(zip_derived_cl199,plain,
( ( neq @ sk__48 @ nil )
| ( ssList @ sk__51 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1595,plain,
ssList @ sk__51,
inference(clc,[status(thm)],[zip_derived_cl1594,zip_derived_cl199]) ).
thf(zip_derived_cl1866,plain,
~ ( segmentP @ sk__48 @ sk__51 ),
inference(demod,[status(thm)],[zip_derived_cl1864,zip_derived_cl1632,zip_derived_cl1595]) ).
thf(zip_derived_cl1867,plain,
( ~ ( ssList @ sk__51 )
| ~ ( frontsegP @ sk__48 @ sk__51 )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1851,zip_derived_cl1866]) ).
thf(zip_derived_cl1595_006,plain,
ssList @ sk__51,
inference(clc,[status(thm)],[zip_derived_cl1594,zip_derived_cl199]) ).
thf(zip_derived_cl195,plain,
( ~ ( neq @ sk__50 @ nil )
| ( frontsegP @ sk__50 @ sk__51 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl205_007,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl205_008,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1619,plain,
( ~ ( neq @ sk__48 @ nil )
| ( frontsegP @ sk__48 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl205,zip_derived_cl205]) ).
thf(zip_derived_cl201,plain,
( ( neq @ sk__48 @ nil )
| ( frontsegP @ sk__50 @ sk__51 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl205_009,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1614,plain,
( ( neq @ sk__48 @ nil )
| ( frontsegP @ sk__48 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl205]) ).
thf(zip_derived_cl1620,plain,
frontsegP @ sk__48 @ sk__51,
inference(clc,[status(thm)],[zip_derived_cl1619,zip_derived_cl1614]) ).
thf(zip_derived_cl206,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl205_010,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1593,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl205]) ).
thf(zip_derived_cl1868,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1867,zip_derived_cl1595,zip_derived_cl1620,zip_derived_cl1593]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC080+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.J7HlkNyI2F true
% 0.15/0.35 % Computer : n029.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 17:00:41 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.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/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.87 % Solved by fo/fo6_bce.sh.
% 0.57/0.87 % BCE start: 208
% 0.57/0.87 % BCE eliminated: 2
% 0.57/0.87 % PE start: 206
% 0.57/0.87 logic: eq
% 0.57/0.87 % PE eliminated: 6
% 0.57/0.87 % done 124 iterations in 0.139s
% 0.57/0.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.87 % SZS output start Refutation
% See solution above
% 0.57/0.87
% 0.57/0.87
% 0.57/0.87 % Terminating...
% 0.62/0.96 % Runner terminated.
% 1.65/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------