TSTP Solution File: SWC014+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC014+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.tclaIw6ARo true
% Computer : n027.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 21:28:30 EDT 2023
% Result : Theorem 1.64s 0.80s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 18
% Syntax : Number of formulae : 80 ( 31 unt; 13 typ; 0 def)
% Number of atoms : 173 ( 67 equ; 0 cnn)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 405 ( 81 ~; 75 |; 12 &; 218 @)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 45 ( 0 ^; 41 !; 4 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(tl_type,type,
tl: $i > $i ).
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] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ( ( ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ? [Z: $i] :
( ( neq @ nil @ V )
& ( ( app @ U @ Z )
= Y )
& ( ( tl @ V )
= Z )
& ( ssList @ Z ) )
& ( V = Y )
& ( ssList @ Y ) )
| ! [X1: $i] :
( ( ssItem @ X1 )
=> ! [X2: $i] :
( ( ssList @ X2 )
=> ( ( ( cons @ X1 @ nil )
!= W )
| ( ( app @ ( cons @ X1 @ nil ) @ X2 )
!= X ) ) ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ) ).
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] :
( ? [Z: $i] :
( ( neq @ nil @ V )
& ( ( app @ U @ Z )
= Y )
& ( ( tl @ V )
= Z )
& ( ssList @ Z ) )
& ( V = Y )
& ( ssList @ Y ) )
| ! [X1: $i] :
( ( ssItem @ X1 )
=> ! [X2: $i] :
( ( ssList @ X2 )
=> ( ( ( cons @ X1 @ nil )
!= W )
| ( ( app @ ( cons @ X1 @ nil ) @ X2 )
!= X ) ) ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl65,plain,
ssList @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl384,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl64]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl61,plain,
( ( ( app @ ( cons @ sk__10 @ nil ) @ sk__11 )
= sk__9 )
| ~ ( neq @ sk__9 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58,plain,
( ( ( cons @ sk__10 @ nil )
= sk__8 )
| ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl437,plain,
( ( ( cons @ sk__10 @ nil )
= sk__6 )
| ( neq @ sk__7 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl51]) ).
thf(zip_derived_cl59,plain,
( ( ( cons @ sk__10 @ nil )
= sk__8 )
| ~ ( neq @ sk__9 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51_001,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64_002,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl406,plain,
( ( ( cons @ sk__10 @ nil )
= sk__6 )
| ~ ( neq @ sk__7 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl51,zip_derived_cl64]) ).
thf(zip_derived_cl438,plain,
( ( cons @ sk__10 @ nil )
= sk__6 ),
inference(clc,[status(thm)],[zip_derived_cl437,zip_derived_cl406]) ).
thf(zip_derived_cl64_003,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64_004,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52,plain,
( ( neq @ sk__7 @ nil )
| ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl457,plain,
neq @ sk__7 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl481,plain,
( ( app @ sk__6 @ sk__11 )
= sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl438,zip_derived_cl64,zip_derived_cl64,zip_derived_cl457]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__7 != X0 )
| ~ ( neq @ nil @ sk__7 )
| ( ( app @ sk__6 @ X1 )
!= X0 )
| ( ( tl @ sk__7 )
!= X1 )
| ~ ( ssList @ X1 )
| ~ ( neq @ sk__9 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl481_005,plain,
( ( app @ sk__6 @ sk__11 )
= sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl438,zip_derived_cl64,zip_derived_cl64,zip_derived_cl457]) ).
thf(zip_derived_cl438_006,plain,
( ( cons @ sk__10 @ nil )
= sk__6 ),
inference(clc,[status(thm)],[zip_derived_cl437,zip_derived_cl406]) ).
thf(ax81,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
= ( app @ ( cons @ V @ nil ) @ U ) ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
= ( app @ ( cons @ X0 @ nil ) @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax81]) ).
thf(zip_derived_cl593,plain,
! [X0: $i] :
( ( ( cons @ sk__10 @ X0 )
= ( app @ sk__6 @ X0 ) )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl438,zip_derived_cl41]) ).
thf(zip_derived_cl56,plain,
( ( ssItem @ sk__10 )
| ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57,plain,
( ( ssItem @ sk__10 )
| ~ ( neq @ sk__9 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64_007,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl385,plain,
( ( ssItem @ sk__10 )
| ~ ( neq @ sk__7 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl64]) ).
thf(zip_derived_cl396,plain,
ssItem @ sk__10,
inference(clc,[status(thm)],[zip_derived_cl56,zip_derived_cl385]) ).
thf(zip_derived_cl596,plain,
! [X0: $i] :
( ( ( cons @ sk__10 @ X0 )
= ( app @ sk__6 @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl593,zip_derived_cl396]) ).
thf(ax25,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( tl @ ( cons @ V @ U ) )
= U ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( tl @ ( cons @ X0 @ X1 ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl679,plain,
! [X0: $i] :
( ( ( tl @ ( app @ sk__6 @ X0 ) )
= X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl596,zip_derived_cl19]) ).
thf(zip_derived_cl396_008,plain,
ssItem @ sk__10,
inference(clc,[status(thm)],[zip_derived_cl56,zip_derived_cl385]) ).
thf(zip_derived_cl702,plain,
! [X0: $i] :
( ( ( tl @ ( app @ sk__6 @ X0 ) )
= X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl679,zip_derived_cl396]) ).
thf(zip_derived_cl703,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( ( tl @ ( app @ sk__6 @ X0 ) )
= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl702]) ).
thf(zip_derived_cl805,plain,
( ( ( tl @ sk__7 )
= sk__11 )
| ~ ( ssList @ sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl481,zip_derived_cl703]) ).
thf(zip_derived_cl62,plain,
( ( ssList @ sk__11 )
| ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl63,plain,
( ( ssList @ sk__11 )
| ~ ( neq @ sk__9 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64_009,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl386,plain,
( ( ssList @ sk__11 )
| ~ ( neq @ sk__7 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl64]) ).
thf(zip_derived_cl405,plain,
ssList @ sk__11,
inference(clc,[status(thm)],[zip_derived_cl62,zip_derived_cl386]) ).
thf(zip_derived_cl810,plain,
( ( tl @ sk__7 )
= sk__11 ),
inference(demod,[status(thm)],[zip_derived_cl805,zip_derived_cl405]) ).
thf(zip_derived_cl64_010,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl457_011,plain,
neq @ sk__7 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl1327,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__7 != X0 )
| ~ ( neq @ nil @ sk__7 )
| ( ( app @ sk__6 @ X1 )
!= X0 )
| ( sk__11 != X1 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl810,zip_derived_cl64,zip_derived_cl457]) ).
thf(zip_derived_cl1331,plain,
! [X0: $i] :
( ( sk__7 != X0 )
| ~ ( ssList @ sk__11 )
| ( sk__11 != sk__11 )
| ~ ( neq @ nil @ sk__7 )
| ( sk__7 != X0 )
| ~ ( ssList @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl1327]) ).
thf(zip_derived_cl405_012,plain,
ssList @ sk__11,
inference(clc,[status(thm)],[zip_derived_cl62,zip_derived_cl386]) ).
thf(zip_derived_cl1339,plain,
! [X0: $i] :
( ( sk__7 != X0 )
| ( sk__11 != sk__11 )
| ~ ( neq @ nil @ sk__7 )
| ( sk__7 != X0 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1331,zip_derived_cl405]) ).
thf(zip_derived_cl1340,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ nil @ sk__7 )
| ( sk__7 != X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1339]) ).
thf(zip_derived_cl1342,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ( nil = sk__7 )
| ~ ( ssList @ sk__7 )
| ( sk__7 != X0 )
| ~ ( ssList @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1340]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl8,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl384_013,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl64]) ).
thf(zip_derived_cl1344,plain,
! [X0: $i] :
( ( nil = sk__7 )
| ( sk__7 != X0 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1342,zip_derived_cl8,zip_derived_cl384]) ).
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_cl457_014,plain,
neq @ sk__7 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl461,plain,
( ~ ( ssList @ sk__7 )
| ( sk__7 != nil )
| ~ ( ssList @ nil ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl457]) ).
thf(zip_derived_cl384_015,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl64]) ).
thf(zip_derived_cl8_016,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl463,plain,
sk__7 != nil,
inference(demod,[status(thm)],[zip_derived_cl461,zip_derived_cl384,zip_derived_cl8]) ).
thf(zip_derived_cl1345,plain,
! [X0: $i] :
( ( sk__7 != X0 )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1344,zip_derived_cl463]) ).
thf(zip_derived_cl1364,plain,
sk__7 != sk__7,
inference('sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl1345]) ).
thf(zip_derived_cl1366,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC014+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tclaIw6ARo true
% 0.19/0.35 % Computer : n027.cluster.edu
% 0.19/0.35 % Model : x86_64 x86_64
% 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35 % Memory : 8042.1875MB
% 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35 % CPULimit : 300
% 0.19/0.35 % WCLimit : 300
% 0.19/0.35 % DateTime : Mon Aug 28 19:02:08 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.19/0.35 % Running portfolio for 300 s
% 0.19/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.36 % Number of cores: 8
% 0.19/0.36 % Python version: Python 3.6.8
% 0.19/0.36 % Running in FO mode
% 0.22/0.59 % Total configuration time : 435
% 0.22/0.59 % Estimated wc time : 1092
% 0.22/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.64/0.80 % Solved by fo/fo3_bce.sh.
% 1.64/0.80 % BCE start: 67
% 1.64/0.80 % BCE eliminated: 2
% 1.64/0.80 % PE start: 65
% 1.64/0.80 logic: eq
% 1.64/0.80 % PE eliminated: 2
% 1.64/0.80 % done 196 iterations in 0.098s
% 1.64/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.64/0.80 % SZS output start Refutation
% See solution above
% 1.64/0.80
% 1.64/0.80
% 1.64/0.80 % Terminating...
% 2.24/0.90 % Runner terminated.
% 2.24/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------