TSTP Solution File: SWC081+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC081+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.GIi5vJFt9R true
% Computer : n024.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 21:29:01 EDT 2023
% Result : Theorem 0.57s 1.21s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 75 ( 26 unt; 12 typ; 0 def)
% Number of atoms : 202 ( 49 equ; 0 cnn)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 502 ( 118 ~; 108 |; 11 &; 245 @)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 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 : 62 ( 0 ^; 57 !; 5 ?; 62 :)
% 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_cl1680,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_cl1689,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_cl1680,zip_derived_cl83]) ).
thf(zip_derived_cl1690,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_cl1689]) ).
thf(zip_derived_cl1751,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ X0 @ X2 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X2 )
| ( X0 != X1 )
| ~ ( ssList @ ( sk__5 @ X2 @ X0 ) )
| ~ ( ssList @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl1690]) ).
thf(zip_derived_cl1760,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ ( sk__5 @ X2 @ X0 ) )
| ( X0 != X1 )
| ( segmentP @ X1 @ X2 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ~ ( frontsegP @ X0 @ X2 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1751]) ).
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_cl3260,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ X0 @ X2 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X2 )
| ( X0 != X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1760,zip_derived_cl13]) ).
thf(zip_derived_cl3261,plain,
! [X0: $i,X1: $i] :
( ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 )
| ~ ( frontsegP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3260]) ).
thf(zip_derived_cl3262,plain,
! [X0: $i,X1: $i] :
( ~ ( frontsegP @ X1 @ X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3261]) ).
thf(zip_derived_cl3262_001,plain,
! [X0: $i,X1: $i] :
( ~ ( frontsegP @ X1 @ X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3261]) ).
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] :
( ( segmentP @ U @ Y )
& ( segmentP @ V @ Y )
& ( neq @ Y @ nil )
& ( ssList @ Y ) )
| ( ! [Z: $i] :
( ( ssList @ Z )
=> ( ~ ( neq @ Z @ nil )
| ~ ( frontsegP @ X @ Z )
| ~ ( frontsegP @ W @ Z ) ) )
& ( ( nil != X )
| ( nil != 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 )
| ? [Y: $i] :
( ( segmentP @ U @ Y )
& ( segmentP @ V @ Y )
& ( neq @ Y @ nil )
& ( ssList @ Y ) )
| ( ! [Z: $i] :
( ( ssList @ Z )
=> ( ~ ( neq @ Z @ nil )
| ~ ( frontsegP @ X @ Z )
| ~ ( frontsegP @ W @ Z ) ) )
& ( ( nil != X )
| ( nil != W ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl199,plain,
( ( neq @ sk__51 @ nil )
| ( nil = sk__50 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( neq @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1520,plain,
! [X0: $i] :
( ( sk__51 != X0 )
| ( nil != nil )
| ( nil = sk__50 )
| ~ ( ssList @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( segmentP @ sk__47 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl199,zip_derived_cl192]) ).
thf(zip_derived_cl1694,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( ssList @ X0 )
| ( nil = sk__50 )
| ( sk__51 != X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1520]) ).
thf(zip_derived_cl203,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1695,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( ssList @ X0 )
| ( nil = sk__48 )
| ( sk__51 != X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1694,zip_derived_cl203]) ).
thf(zip_derived_cl193,plain,
neq @ sk__48 @ nil,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1512,plain,
( ~ ( ssList @ sk__48 )
| ( sk__48 != nil )
| ~ ( ssList @ nil ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl193,zip_derived_cl80]) ).
thf(zip_derived_cl204,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203_002,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1574,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl203]) ).
thf(zip_derived_cl83_003,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1575,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl1512,zip_derived_cl1574,zip_derived_cl83]) ).
thf(zip_derived_cl1696,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( ssList @ X0 )
| ( sk__51 != X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1695,zip_derived_cl1575]) ).
thf(zip_derived_cl1697,plain,
( ~ ( ssList @ sk__51 )
| ~ ( segmentP @ sk__48 @ sk__51 )
| ~ ( segmentP @ sk__47 @ sk__51 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1696]) ).
thf(zip_derived_cl201,plain,
( ( ssList @ sk__51 )
| ( nil = sk__50 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203_004,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1576,plain,
( ( ssList @ sk__51 )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl203]) ).
thf(zip_derived_cl1575_005,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl1512,zip_derived_cl1574,zip_derived_cl83]) ).
thf(zip_derived_cl1577,plain,
ssList @ sk__51,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1576,zip_derived_cl1575]) ).
thf(zip_derived_cl1698,plain,
( ~ ( segmentP @ sk__48 @ sk__51 )
| ~ ( segmentP @ sk__47 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl1697,zip_derived_cl1577]) ).
thf(zip_derived_cl3270,plain,
( ~ ( ssList @ sk__48 )
| ~ ( ssList @ sk__51 )
| ~ ( frontsegP @ sk__48 @ sk__51 )
| ~ ( segmentP @ sk__47 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3262,zip_derived_cl1698]) ).
thf(zip_derived_cl1574_006,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl203]) ).
thf(zip_derived_cl1577_007,plain,
ssList @ sk__51,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1576,zip_derived_cl1575]) ).
thf(zip_derived_cl197,plain,
( ( frontsegP @ sk__50 @ sk__51 )
| ( nil = sk__50 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203_008,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203_009,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1624,plain,
( ( frontsegP @ sk__48 @ sk__51 )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl203,zip_derived_cl203]) ).
thf(zip_derived_cl1575_010,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl1512,zip_derived_cl1574,zip_derived_cl83]) ).
thf(zip_derived_cl1625,plain,
frontsegP @ sk__48 @ sk__51,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1624,zip_derived_cl1575]) ).
thf(zip_derived_cl3281,plain,
~ ( segmentP @ sk__47 @ sk__51 ),
inference(demod,[status(thm)],[zip_derived_cl3270,zip_derived_cl1574,zip_derived_cl1577,zip_derived_cl1625]) ).
thf(zip_derived_cl3302,plain,
( ~ ( ssList @ sk__47 )
| ~ ( ssList @ sk__51 )
| ~ ( frontsegP @ sk__47 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3262,zip_derived_cl3281]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1577_011,plain,
ssList @ sk__51,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1576,zip_derived_cl1575]) ).
thf(zip_derived_cl195,plain,
( ( frontsegP @ sk__49 @ sk__51 )
| ( nil = sk__50 ) ),
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_cl203_012,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1591,plain,
( ( frontsegP @ sk__47 @ sk__51 )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl194,zip_derived_cl203]) ).
thf(zip_derived_cl1575_013,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl1512,zip_derived_cl1574,zip_derived_cl83]) ).
thf(zip_derived_cl1592,plain,
frontsegP @ sk__47 @ sk__51,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1591,zip_derived_cl1575]) ).
thf(zip_derived_cl3304,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3302,zip_derived_cl190,zip_derived_cl1577,zip_derived_cl1592]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC081+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GIi5vJFt9R true
% 0.13/0.35 % Computer : n024.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 15:24:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.52/0.67 % Total configuration time : 435
% 0.52/0.67 % Estimated wc time : 1092
% 0.52/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/1.21 % Solved by fo/fo6_bce.sh.
% 0.57/1.21 % BCE start: 206
% 0.57/1.21 % BCE eliminated: 2
% 0.57/1.21 % PE start: 204
% 0.57/1.21 logic: eq
% 0.57/1.21 % PE eliminated: 3
% 0.57/1.21 % done 349 iterations in 0.458s
% 0.57/1.21 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/1.21 % SZS output start Refutation
% See solution above
% 0.57/1.21
% 0.57/1.21
% 0.57/1.21 % Terminating...
% 4.61/1.29 % Runner terminated.
% 4.61/1.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------