TSTP Solution File: SWC320+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC320+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.cDC0msAp8T true
% Computer : n006.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 21:30:44 EDT 2023
% Result : Theorem 0.42s 0.84s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 71 ( 19 unt; 12 typ; 0 def)
% Number of atoms : 166 ( 107 equ; 0 cnn)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 361 ( 77 ~; 84 |; 12 &; 177 @)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 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 : 24 ( 0 ^; 20 !; 4 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__5_type,type,
sk__5: $i ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__7_type,type,
sk__7: $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(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ( ? [X1: $i] :
( ? [X2: $i] :
( ( ( app @ X2 @ ( cons @ X1 @ nil ) )
= V )
& ( ( app @ ( cons @ X1 @ nil ) @ X2 )
= U )
& ( ssList @ X2 ) )
& ( ssItem @ X1 ) )
| ~ ( neq @ V @ nil ) )
& ( ( nil = U )
| ( nil != V ) ) )
| ( ( neq @ X @ nil )
& ! [Y: $i] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ( app @ Z @ ( cons @ Y @ nil ) )
!= X )
| ( ( app @ ( cons @ Y @ nil ) @ Z )
!= W )
| ~ ( ssList @ Z ) ) ) )
| ( ( nil = X )
& ( nil != W ) )
| ( 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] :
( ( ( ? [X1: $i] :
( ? [X2: $i] :
( ( ( app @ X2 @ ( cons @ X1 @ nil ) )
= V )
& ( ( app @ ( cons @ X1 @ nil ) @ X2 )
= U )
& ( ssList @ X2 ) )
& ( ssItem @ X1 ) )
| ~ ( neq @ V @ nil ) )
& ( ( nil = U )
| ( nil != V ) ) )
| ( ( neq @ X @ nil )
& ! [Y: $i] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ( app @ Z @ ( cons @ Y @ nil ) )
!= X )
| ( ( app @ ( cons @ Y @ nil ) @ Z )
!= W )
| ~ ( ssList @ Z ) ) ) )
| ( ( nil = X )
& ( nil != W ) )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl32,plain,
( ( neq @ sk__5 @ nil )
| ( nil = sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36,plain,
( ~ ( neq @ sk__7 @ nil )
| ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl250,plain,
( ( sk__5 != sk__7 )
| ( nil != nil )
| ( nil = sk__5 )
| ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__7 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl32,zip_derived_cl36]) ).
thf(zip_derived_cl504,plain,
( ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__7 )
| ( nil = sk__5 )
| ( sk__5 != sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl250]) ).
thf(zip_derived_cl505,plain,
( ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__5 )
| ( nil = sk__5 )
| ( sk__5 != sk__7 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl504]) ).
thf(zip_derived_cl39,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl506,plain,
( ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__5 )
| ( nil = sk__5 )
| ( sk__5 != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl505,zip_derived_cl39]) ).
thf(zip_derived_cl507,plain,
( ( nil = sk__5 )
| ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl506]) ).
thf(zip_derived_cl31,plain,
( ( neq @ sk__5 @ nil )
| ( nil != sk__4 ) ),
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_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl227,plain,
( ( nil != sk__4 )
| ~ ( ssList @ sk__5 )
| ( sk__5 != nil )
| ~ ( ssList @ nil ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl31,zip_derived_cl5]) ).
thf(zip_derived_cl260,plain,
( ( nil != sk__4 )
| ( sk__5 != nil )
| ~ ( ssList @ nil ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl227]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl8,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl261,plain,
( ( nil != sk__4 )
| ( sk__5 != nil ) ),
inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl8]) ).
thf(zip_derived_cl38,plain,
( ( nil != sk__7 )
| ( nil = sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33,plain,
sk__4 = sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl254,plain,
( ( nil != sk__7 )
| ( nil = sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl33]) ).
thf(zip_derived_cl39_001,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl255,plain,
( ( nil != sk__5 )
| ( nil = sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl39]) ).
thf(zip_derived_cl262,plain,
sk__5 != nil,
inference(clc,[status(thm)],[zip_derived_cl261,zip_derived_cl255]) ).
thf(zip_derived_cl508,plain,
( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__5 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl507,zip_derived_cl262]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( app @ X1 @ ( cons @ X0 @ nil ) )
!= sk__5 )
| ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__4 )
| ~ ( ssList @ X1 )
| ( nil = sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl262_002,plain,
sk__5 != nil,
inference(clc,[status(thm)],[zip_derived_cl261,zip_derived_cl255]) ).
thf(zip_derived_cl736,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( app @ X1 @ ( cons @ X0 @ nil ) )
!= sk__5 )
| ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__4 )
| ~ ( ssList @ X1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl30,zip_derived_cl262]) ).
thf(zip_derived_cl740,plain,
( ( sk__5 != sk__5 )
| ~ ( ssList @ sk__9 )
| ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
!= sk__4 )
| ~ ( ssItem @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl508,zip_derived_cl736]) ).
thf(zip_derived_cl32_003,plain,
( ( neq @ sk__5 @ nil )
| ( nil = sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34,plain,
( ~ ( neq @ sk__7 @ nil )
| ( ssList @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl244,plain,
( ( sk__5 != sk__7 )
| ( nil != nil )
| ( nil = sk__5 )
| ( ssList @ sk__9 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl32,zip_derived_cl34]) ).
thf(zip_derived_cl269,plain,
( ( ssList @ sk__9 )
| ( nil = sk__5 )
| ( sk__5 != sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl244]) ).
thf(zip_derived_cl39_004,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl270,plain,
( ( ssList @ sk__9 )
| ( nil = sk__5 )
| ( sk__5 != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl39]) ).
thf(zip_derived_cl271,plain,
( ( nil = sk__5 )
| ( ssList @ sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl270]) ).
thf(zip_derived_cl262_005,plain,
sk__5 != nil,
inference(clc,[status(thm)],[zip_derived_cl261,zip_derived_cl255]) ).
thf(zip_derived_cl272,plain,
ssList @ sk__9,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl271,zip_derived_cl262]) ).
thf(zip_derived_cl32_006,plain,
( ( neq @ sk__5 @ nil )
| ( nil = sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl35,plain,
( ~ ( neq @ sk__7 @ nil )
| ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl247,plain,
( ( sk__5 != sk__7 )
| ( nil != nil )
| ( nil = sk__5 )
| ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__6 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl32,zip_derived_cl35]) ).
thf(zip_derived_cl413,plain,
( ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__6 )
| ( nil = sk__5 )
| ( sk__5 != sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl247]) ).
thf(zip_derived_cl33_007,plain,
sk__4 = sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39_008,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl414,plain,
( ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__4 )
| ( nil = sk__5 )
| ( sk__5 != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl413,zip_derived_cl33,zip_derived_cl39]) ).
thf(zip_derived_cl415,plain,
( ( nil = sk__5 )
| ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl414]) ).
thf(zip_derived_cl262_009,plain,
sk__5 != nil,
inference(clc,[status(thm)],[zip_derived_cl261,zip_derived_cl255]) ).
thf(zip_derived_cl416,plain,
( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__4 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl415,zip_derived_cl262]) ).
thf(zip_derived_cl32_010,plain,
( ( neq @ sk__5 @ nil )
| ( nil = sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37,plain,
( ~ ( neq @ sk__7 @ nil )
| ( ssItem @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl253,plain,
( ( sk__5 != sk__7 )
| ( nil != nil )
| ( nil = sk__5 )
| ( ssItem @ sk__8 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl32,zip_derived_cl37]) ).
thf(zip_derived_cl273,plain,
( ( ssItem @ sk__8 )
| ( nil = sk__5 )
| ( sk__5 != sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl253]) ).
thf(zip_derived_cl39_011,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl274,plain,
( ( ssItem @ sk__8 )
| ( nil = sk__5 )
| ( sk__5 != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl39]) ).
thf(zip_derived_cl275,plain,
( ( nil = sk__5 )
| ( ssItem @ sk__8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl274]) ).
thf(zip_derived_cl262_012,plain,
sk__5 != nil,
inference(clc,[status(thm)],[zip_derived_cl261,zip_derived_cl255]) ).
thf(zip_derived_cl276,plain,
ssItem @ sk__8,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl275,zip_derived_cl262]) ).
thf(zip_derived_cl745,plain,
( ( sk__5 != sk__5 )
| ( sk__4 != sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl740,zip_derived_cl272,zip_derived_cl416,zip_derived_cl276]) ).
thf(zip_derived_cl746,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl745]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15 % Problem : SWC320+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cDC0msAp8T true
% 0.11/0.35 % Computer : n006.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Aug 28 15:05:21 EDT 2023
% 0.11/0.36 % CPUTime :
% 0.11/0.36 % Running portfolio for 300 s
% 0.11/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Number of cores: 8
% 0.11/0.36 % Python version: Python 3.6.8
% 0.11/0.36 % Running in FO mode
% 0.40/0.62 % Total configuration time : 435
% 0.40/0.62 % Estimated wc time : 1092
% 0.40/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.41/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.41/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.42/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.42/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.42/0.84 % Solved by fo/fo3_bce.sh.
% 0.42/0.84 % BCE start: 42
% 0.42/0.84 % BCE eliminated: 0
% 0.42/0.84 % PE start: 42
% 0.42/0.84 logic: eq
% 0.42/0.84 % PE eliminated: -8
% 0.42/0.84 % done 104 iterations in 0.056s
% 0.42/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.42/0.84 % SZS output start Refutation
% See solution above
% 0.42/0.84
% 0.42/0.84
% 0.42/0.84 % Terminating...
% 1.09/1.10 % Runner terminated.
% 1.09/1.12 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------