TSTP Solution File: SWC018+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC018+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.VqjSyNtC3Q 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 21:28:32 EDT 2023
% Result : Theorem 1.54s 0.86s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 63 ( 21 unt; 13 typ; 0 def)
% Number of atoms : 166 ( 64 equ; 0 cnn)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 364 ( 79 ~; 76 |; 19 &; 169 @)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 44 ( 0 ^; 36 !; 8 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(frontsegP_type,type,
frontsegP: $i > $i > $o ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(equalelemsP_type,type,
equalelemsP: $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(ax42,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( frontsegP @ U @ U ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ( frontsegP @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax42]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl16,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 )
| ! [Y: $i] :
( ( ssList @ Y )
=> ( ( ( app @ W @ Y )
!= X )
| ~ ( equalelemsP @ W )
| ? [Z: $i] :
( ? [X1: $i] :
( ? [X2: $i] :
( ( ( app @ X2 @ ( cons @ Z @ nil ) )
= W )
& ( ssList @ X2 ) )
& ( ( app @ ( cons @ Z @ nil ) @ X1 )
= Y )
& ( ssList @ X1 ) )
& ( ssItem @ Z ) ) ) )
| ( ( nil != X )
& ( nil = W ) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ~ ( neq @ V @ nil )
| ? [X3: $i] :
( ( frontsegP @ U @ X3 )
& ( frontsegP @ V @ X3 )
& ( neq @ X3 @ nil )
& ( ssList @ X3 ) ) ) ) ) ) ) ) ) ).
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 )
| ! [Y: $i] :
( ( ssList @ Y )
=> ( ( ( app @ W @ Y )
!= X )
| ~ ( equalelemsP @ W )
| ? [Z: $i] :
( ? [X1: $i] :
( ? [X2: $i] :
( ( ( app @ X2 @ ( cons @ Z @ nil ) )
= W )
& ( ssList @ X2 ) )
& ( ( app @ ( cons @ Z @ nil ) @ X1 )
= Y )
& ( ssList @ X1 ) )
& ( ssItem @ Z ) ) ) )
| ( ( nil != X )
& ( nil = W ) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ~ ( neq @ V @ nil )
| ? [X3: $i] :
( ( frontsegP @ U @ X3 )
& ( frontsegP @ V @ X3 )
& ( neq @ X3 @ nil )
& ( ssList @ X3 ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ( nil = sk__10 )
| ~ ( frontsegP @ sk__9 @ X0 )
| ~ ( frontsegP @ sk__10 @ X0 )
| ~ ( neq @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl404,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( X0 = nil )
| ~ ( ssList @ nil )
| ~ ( ssList @ X0 )
| ~ ( frontsegP @ sk__10 @ X0 )
| ~ ( frontsegP @ sk__9 @ X0 )
| ( nil = sk__10 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl52]) ).
thf(zip_derived_cl1426,plain,
! [X0: $i] :
( ( nil = sk__10 )
| ~ ( frontsegP @ sk__9 @ X0 )
| ~ ( frontsegP @ sk__10 @ X0 )
| ~ ( ssList @ nil )
| ( X0 = nil )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl404]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl18,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1427,plain,
! [X0: $i] :
( ( nil = sk__10 )
| ~ ( frontsegP @ sk__9 @ X0 )
| ~ ( frontsegP @ sk__10 @ X0 )
| ( X0 = nil )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1426,zip_derived_cl18]) ).
thf(zip_derived_cl58,plain,
( ( app @ sk__11 @ sk__13 )
= sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55,plain,
sk__9 = sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61,plain,
sk__10 = sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl439,plain,
( ( app @ sk__9 @ sk__13 )
= sk__10 ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl55,zip_derived_cl61]) ).
thf(ax83,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( nil
= ( app @ U @ V ) )
<=> ( ( nil = V )
& ( nil = U ) ) ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil
!= ( app @ X1 @ X0 ) )
| ( nil = X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax83]) ).
thf(zip_derived_cl474,plain,
( ( nil != sk__10 )
| ~ ( ssList @ sk__9 )
| ( nil = sk__9 )
| ~ ( ssList @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl46]) ).
thf(zip_derived_cl49,plain,
ssList @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57,plain,
ssList @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl480,plain,
( ( nil != sk__10 )
| ( nil = sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl474,zip_derived_cl49,zip_derived_cl57]) ).
thf(zip_derived_cl53,plain,
( ( nil != sk__9 )
| ( neq @ sk__10 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl415,plain,
( ( nil != sk__9 )
| ~ ( ssList @ sk__10 )
| ( sk__10 != nil )
| ~ ( ssList @ nil ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl53,zip_derived_cl15]) ).
thf(zip_derived_cl440,plain,
( ( nil != sk__9 )
| ( sk__10 != nil )
| ~ ( ssList @ nil ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl415]) ).
thf(zip_derived_cl18_001,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl441,plain,
( ( nil != sk__9 )
| ( sk__10 != nil ) ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl18]) ).
thf(zip_derived_cl56,plain,
( ( nil = sk__12 )
| ( nil != sk__11 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55_002,plain,
sk__9 = sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl431,plain,
( ( nil = sk__12 )
| ( nil != sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl55]) ).
thf(zip_derived_cl61_003,plain,
sk__10 = sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl432,plain,
( ( sk__10 = nil )
| ( nil != sk__9 ) ),
inference('sup+',[status(thm)],[zip_derived_cl431,zip_derived_cl61]) ).
thf(zip_derived_cl442,plain,
nil != sk__9,
inference(clc,[status(thm)],[zip_derived_cl441,zip_derived_cl432]) ).
thf(zip_derived_cl481,plain,
nil != sk__10,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl480,zip_derived_cl442]) ).
thf(zip_derived_cl1428,plain,
! [X0: $i] :
( ~ ( frontsegP @ sk__9 @ X0 )
| ~ ( frontsegP @ sk__10 @ X0 )
| ( X0 = nil )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1427,zip_derived_cl481]) ).
thf(zip_derived_cl439_004,plain,
( ( app @ sk__9 @ sk__13 )
= sk__10 ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl55,zip_derived_cl61]) ).
thf(ax43,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( frontsegP @ U @ V )
=> ( frontsegP @ ( app @ U @ W ) @ V ) ) ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ X1 @ X0 )
| ( frontsegP @ ( app @ X1 @ X2 ) @ X0 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax43]) ).
thf(zip_derived_cl878,plain,
! [X0: $i] :
( ( frontsegP @ sk__10 @ X0 )
| ~ ( ssList @ sk__9 )
| ~ ( ssList @ sk__13 )
| ~ ( frontsegP @ sk__9 @ X0 )
| ~ ( ssList @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl439,zip_derived_cl32]) ).
thf(zip_derived_cl49_005,plain,
ssList @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57_006,plain,
ssList @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl887,plain,
! [X0: $i] :
( ( frontsegP @ sk__10 @ X0 )
| ~ ( frontsegP @ sk__9 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl878,zip_derived_cl49,zip_derived_cl57]) ).
thf(zip_derived_cl1429,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( X0 = nil )
| ~ ( frontsegP @ sk__9 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1428,zip_derived_cl887]) ).
thf(zip_derived_cl1436,plain,
( ~ ( ssList @ sk__9 )
| ( sk__9 = nil )
| ~ ( ssList @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl1429]) ).
thf(zip_derived_cl49_007,plain,
ssList @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49_008,plain,
ssList @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1442,plain,
sk__9 = nil,
inference(demod,[status(thm)],[zip_derived_cl1436,zip_derived_cl49,zip_derived_cl49]) ).
thf(zip_derived_cl442_009,plain,
nil != sk__9,
inference(clc,[status(thm)],[zip_derived_cl441,zip_derived_cl432]) ).
thf(zip_derived_cl1443,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1442,zip_derived_cl442]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC018+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VqjSyNtC3Q true
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 18:08:17 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.19/0.61 % Total configuration time : 435
% 0.19/0.61 % Estimated wc time : 1092
% 0.19/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.54/0.86 % Solved by fo/fo3_bce.sh.
% 1.54/0.86 % BCE start: 64
% 1.54/0.86 % BCE eliminated: 0
% 1.54/0.86 % PE start: 64
% 1.54/0.86 logic: eq
% 1.54/0.86 % PE eliminated: -1
% 1.54/0.86 % done 181 iterations in 0.139s
% 1.54/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.54/0.86 % SZS output start Refutation
% See solution above
% 1.54/0.86
% 1.54/0.86
% 1.54/0.86 % Terminating...
% 1.58/0.92 % Runner terminated.
% 1.58/0.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------