TSTP Solution File: SWC419+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC419+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.9UsKN4kz9M true
% Computer : n031.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 21:31:29 EDT 2023
% Result : Theorem 1.38s 0.83s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 66 ( 21 unt; 12 typ; 0 def)
% Number of atoms : 138 ( 68 equ; 0 cnn)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 380 ( 71 ~; 60 |; 12 &; 225 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 31 ( 0 ^; 25 !; 6 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $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__8_type,type,
sk__8: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(ax84,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ U @ nil )
= U ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(ax28,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ nil @ U )
= U ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ( neq @ X @ nil )
& ! [X2: $i] :
( ( ssItem @ X2 )
=> ! [X3: $i] :
( ( ( app @ X3 @ ( cons @ X2 @ nil ) )
!= W )
| ( ( app @ ( cons @ X2 @ nil ) @ X3 )
!= X )
| ~ ( ssList @ X3 ) ) ) )
| ( ( nil = X )
& ( nil != W ) )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ( ( app @ ( app @ X1 @ ( cons @ Y @ nil ) ) @ Z )
= U )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= V )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ 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 )
& ! [X2: $i] :
( ( ssItem @ X2 )
=> ! [X3: $i] :
( ( ( app @ X3 @ ( cons @ X2 @ nil ) )
!= W )
| ( ( app @ ( cons @ X2 @ nil ) @ X3 )
!= X )
| ~ ( ssList @ X3 ) ) ) )
| ( ( nil = X )
& ( nil != W ) )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ( ( app @ ( app @ X1 @ ( cons @ Y @ nil ) ) @ Z )
= U )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= V )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ~ ( neq @ V @ nil )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl30,plain,
neq @ sk__5 @ nil,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34,plain,
( ~ ( neq @ sk__7 @ nil )
| ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl226,plain,
( ( sk__5 != sk__7 )
| ( nil != nil )
| ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__6 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl34]) ).
thf(zip_derived_cl315,plain,
( ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__6 )
| ( sk__5 != sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl226]) ).
thf(zip_derived_cl31,plain,
sk__4 = sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl316,plain,
( ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__4 )
| ( sk__5 != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl315,zip_derived_cl31,zip_derived_cl37]) ).
thf(zip_derived_cl317,plain,
( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__4 ),
inference(simplify,[status(thm)],[zip_derived_cl316]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ ( app @ X1 @ ( cons @ X2 @ nil ) ) @ X0 )
!= sk__4 )
| ( ( app @ ( app @ X0 @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__5 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl686,plain,
! [X0: $i] :
( ( ( app @ sk__4 @ X0 )
!= sk__4 )
| ~ ( ssItem @ sk__8 )
| ~ ( ssList @ sk__9 )
| ( ( app @ ( app @ X0 @ ( cons @ sk__8 @ nil ) ) @ sk__9 )
!= sk__5 )
| ~ ( ssList @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl317,zip_derived_cl29]) ).
thf(zip_derived_cl30_001,plain,
neq @ sk__5 @ nil,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl35,plain,
( ~ ( neq @ sk__7 @ nil )
| ( ssItem @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl229,plain,
( ( sk__5 != sk__7 )
| ( nil != nil )
| ( ssItem @ sk__8 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl35]) ).
thf(zip_derived_cl240,plain,
( ( ssItem @ sk__8 )
| ( sk__5 != sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl229]) ).
thf(zip_derived_cl37_002,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl241,plain,
( ( ssItem @ sk__8 )
| ( sk__5 != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl240,zip_derived_cl37]) ).
thf(zip_derived_cl242,plain,
ssItem @ sk__8,
inference(simplify,[status(thm)],[zip_derived_cl241]) ).
thf(zip_derived_cl30_003,plain,
neq @ sk__5 @ nil,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32,plain,
( ~ ( neq @ sk__7 @ nil )
| ( ssList @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl220,plain,
( ( sk__5 != sk__7 )
| ( nil != nil )
| ( ssList @ sk__9 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl32]) ).
thf(zip_derived_cl237,plain,
( ( ssList @ sk__9 )
| ( sk__5 != sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl220]) ).
thf(zip_derived_cl37_004,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl238,plain,
( ( ssList @ sk__9 )
| ( sk__5 != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl37]) ).
thf(zip_derived_cl239,plain,
ssList @ sk__9,
inference(simplify,[status(thm)],[zip_derived_cl238]) ).
thf(zip_derived_cl695,plain,
! [X0: $i] :
( ( ( app @ sk__4 @ X0 )
!= sk__4 )
| ( ( app @ ( app @ X0 @ ( cons @ sk__8 @ nil ) ) @ sk__9 )
!= sk__5 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl242,zip_derived_cl239]) ).
thf(zip_derived_cl822,plain,
( ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
!= sk__5 )
| ~ ( ssList @ ( cons @ sk__8 @ nil ) )
| ~ ( ssList @ nil )
| ( ( app @ sk__4 @ nil )
!= sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl695]) ).
thf(zip_derived_cl30_005,plain,
neq @ sk__5 @ nil,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33,plain,
( ~ ( neq @ sk__7 @ nil )
| ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl223,plain,
( ( sk__5 != sk__7 )
| ( nil != nil )
| ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__7 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl33]) ).
thf(zip_derived_cl289,plain,
( ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__7 )
| ( sk__5 != sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl223]) ).
thf(zip_derived_cl290,plain,
( ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__5 )
| ( sk__5 != sk__7 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl289]) ).
thf(zip_derived_cl37_006,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl291,plain,
( ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__5 )
| ( sk__5 != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl37]) ).
thf(zip_derived_cl292,plain,
( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__5 ),
inference(simplify,[status(thm)],[zip_derived_cl291]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl8,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl830,plain,
( ( sk__5 != sk__5 )
| ~ ( ssList @ ( cons @ sk__8 @ nil ) )
| ( ( app @ sk__4 @ nil )
!= sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl822,zip_derived_cl292,zip_derived_cl8]) ).
thf(zip_derived_cl831,plain,
( ( ( app @ sk__4 @ nil )
!= sk__4 )
| ~ ( ssList @ ( cons @ sk__8 @ nil ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl830]) ).
thf(zip_derived_cl837,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__8 )
| ( ( app @ sk__4 @ nil )
!= sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl831]) ).
thf(zip_derived_cl8_007,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl242_008,plain,
ssItem @ sk__8,
inference(simplify,[status(thm)],[zip_derived_cl241]) ).
thf(zip_derived_cl838,plain,
( ( app @ sk__4 @ nil )
!= sk__4 ),
inference(demod,[status(thm)],[zip_derived_cl837,zip_derived_cl8,zip_derived_cl242]) ).
thf(zip_derived_cl841,plain,
( ( sk__4 != sk__4 )
| ~ ( ssList @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl838]) ).
thf(zip_derived_cl27,plain,
ssList @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl844,plain,
sk__4 != sk__4,
inference(demod,[status(thm)],[zip_derived_cl841,zip_derived_cl27]) ).
thf(zip_derived_cl845,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl844]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWC419+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9UsKN4kz9M true
% 0.11/0.34 % Computer : n031.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Aug 28 15:08:25 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Running portfolio for 300 s
% 0.11/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.34 % Number of cores: 8
% 0.19/0.34 % Python version: Python 3.6.8
% 0.19/0.34 % Running in FO mode
% 0.20/0.60 % Total configuration time : 435
% 0.20/0.60 % Estimated wc time : 1092
% 0.20/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.38/0.83 % Solved by fo/fo3_bce.sh.
% 1.38/0.83 % BCE start: 40
% 1.38/0.83 % BCE eliminated: 0
% 1.38/0.83 % PE start: 40
% 1.38/0.83 logic: eq
% 1.38/0.83 % PE eliminated: -5
% 1.38/0.83 % done 131 iterations in 0.098s
% 1.38/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.38/0.83 % SZS output start Refutation
% See solution above
% 1.38/0.83
% 1.38/0.83
% 1.38/0.83 % Terminating...
% 1.58/0.92 % Runner terminated.
% 1.58/0.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------