TSTP Solution File: SWC010+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC010+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.QVx8Y7Shw6 true
% Computer : n013.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 21:28:28 EDT 2023
% Result : Theorem 0.56s 0.78s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 64 ( 7 unt; 15 typ; 0 def)
% Number of atoms : 182 ( 65 equ; 0 cnn)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 599 ( 100 ~; 89 |; 18 &; 366 @)
% ( 0 <=>; 14 =>; 12 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 49 ( 0 ^; 41 !; 8 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(geq_type,type,
geq: $i > $i > $o ).
thf(sk__53_type,type,
sk__53: $i ).
thf(sk__52_type,type,
sk__52: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__47_type,type,
sk__47: $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(sk__51_type,type,
sk__51: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__50_type,type,
sk__50: $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
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] :
( ? [X1: $i] :
( ( ( app @ Z @ X1 )
= U )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= V )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ! [X2: $i] :
( ( ssItem @ X2 )
=> ! [X3: $i] :
( ( ssList @ X3 )
=> ! [X4: $i] :
( ( ssList @ X4 )
=> ( ( ( app @ ( app @ X3 @ ( cons @ X2 @ nil ) ) @ X4 )
!= X )
| ( ( app @ X3 @ X4 )
!= W )
| ? [X5: $i] :
( ( geq @ X5 @ X2 )
& ( memberP @ X @ X5 )
& ( X2 != X5 )
& ( ssItem @ X5 ) ) ) ) ) ) )
& ( ~ ( 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] :
( ? [X1: $i] :
( ( ( app @ Z @ X1 )
= U )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= V )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ! [X2: $i] :
( ( ssItem @ X2 )
=> ! [X3: $i] :
( ( ssList @ X3 )
=> ! [X4: $i] :
( ( ssList @ X4 )
=> ( ( ( app @ ( app @ X3 @ ( cons @ X2 @ nil ) ) @ X4 )
!= X )
| ( ( app @ X3 @ X4 )
!= W )
| ? [X5: $i] :
( ( geq @ X5 @ X2 )
& ( memberP @ X @ X5 )
& ( X2 != X5 )
& ( ssItem @ X5 ) ) ) ) ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl204,plain,
( ( ( app @ sk__52 @ sk__53 )
= sk__49 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
( ~ ( neq @ sk__50 @ nil )
| ( ( app @ sk__52 @ sk__53 )
= sk__49 ) ),
inference(split,[status(esa)],[zip_derived_cl204]) ).
thf(zip_derived_cl203,plain,
( ( ( app @ sk__52 @ sk__53 )
= sk__49 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl230,plain,
( ( ( app @ sk__52 @ sk__53 )
= sk__49 )
<= ( ( app @ sk__52 @ sk__53 )
= sk__49 ) ),
inference(split,[status(esa)],[zip_derived_cl203]) ).
thf(zip_derived_cl192,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl262,plain,
( ( ( app @ sk__52 @ sk__53 )
= sk__47 )
<= ( ( app @ sk__52 @ sk__53 )
= sk__49 ) ),
inference(demod,[status(thm)],[zip_derived_cl230,zip_derived_cl192]) ).
thf(zip_derived_cl201,plain,
( ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__50 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl226,plain,
( ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__50 )
<= ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__50 ) ),
inference(split,[status(esa)],[zip_derived_cl201]) ).
thf(zip_derived_cl209,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl292,plain,
( ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__48 )
<= ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__50 ) ),
inference(demod,[status(thm)],[zip_derived_cl226,zip_derived_cl209]) ).
thf(zip_derived_cl195,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ~ ( ssList @ X2 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl214,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 ) )
<= ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 ) ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl293,plain,
( ( ~ ( ssItem @ sk__51 )
| ~ ( ssList @ sk__53 )
| ~ ( ssList @ sk__52 )
| ( ( app @ sk__52 @ sk__53 )
!= sk__47 )
| ( sk__48 != sk__48 ) )
<= ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 ) )
& ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__50 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl292,zip_derived_cl214]) ).
thf(zip_derived_cl294,plain,
( ( ( ( app @ sk__52 @ sk__53 )
!= sk__47 )
| ~ ( ssList @ sk__52 )
| ~ ( ssList @ sk__53 )
| ~ ( ssItem @ sk__51 ) )
<= ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 ) )
& ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__50 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl293]) ).
thf(zip_derived_cl308,plain,
( ( ( app @ sk__52 @ sk__53 )
!= sk__47 )
<= ( ( app @ sk__52 @ sk__53 )
!= sk__47 ) ),
inference(split,[status(esa)],[zip_derived_cl294]) ).
thf('1',plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 ) )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl197,plain,
( ( ssItem @ sk__51 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('2',plain,
( ( ssItem @ sk__51 )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl197]) ).
thf(zip_derived_cl199,plain,
( ( ssList @ sk__53 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
( ( ssList @ sk__53 )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl199]) ).
thf('4',plain,
( ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__50 )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl201]) ).
thf(zip_derived_cl207,plain,
( ( ssList @ sk__52 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('5',plain,
( ( ssList @ sk__52 )
| ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl207]) ).
thf(zip_derived_cl209_001,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194,plain,
( ( neq @ sk__48 @ nil )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl212,plain,
( ~ ( neq @ sk__50 @ nil )
<= ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf(zip_derived_cl264,plain,
( ~ ( neq @ sk__48 @ nil )
<= ~ ( neq @ sk__50 @ nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl212]) ).
thf(zip_derived_cl213,plain,
( ( neq @ sk__48 @ nil )
<= ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf('6',plain,
( ( neq @ sk__50 @ nil )
| ~ ( neq @ sk__48 @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl264,zip_derived_cl213]) ).
thf(zip_derived_cl196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ~ ( ssList @ X2 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('7',plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 ) )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl196]) ).
thf(zip_derived_cl198,plain,
( ( ssItem @ sk__51 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('8',plain,
( ( ssItem @ sk__51 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl198]) ).
thf(zip_derived_cl200,plain,
( ( ssList @ sk__53 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('9',plain,
( ( ssList @ sk__53 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl200]) ).
thf(zip_derived_cl202,plain,
( ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__50 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('10',plain,
( ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= sk__50 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl202]) ).
thf(zip_derived_cl208,plain,
( ( ssList @ sk__52 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('11',plain,
( ( ssList @ sk__52 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl208]) ).
thf('12',plain,
( ( ( app @ sk__52 @ sk__53 )
!= sk__47 )
| ~ ( ssList @ sk__52 )
| ( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
!= sk__50 )
| ~ ( ssList @ sk__53 )
| ~ ( ssItem @ sk__51 )
| ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X2 @ X1 )
!= sk__47 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__48 ) ) ),
inference(split,[status(esa)],[zip_derived_cl294]) ).
thf('13',plain,
( ( app @ sk__52 @ sk__53 )
!= sk__47 ),
inference('sat_resolution*',[status(thm)],['1','2','3','4','5','6','7','8','9','10','11','12']) ).
thf(zip_derived_cl317,plain,
( ( app @ sk__52 @ sk__53 )
!= sk__47 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl308,'13']) ).
thf(zip_derived_cl318,plain,
( ( sk__47 != sk__47 )
<= ( ( app @ sk__52 @ sk__53 )
= sk__49 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl317]) ).
thf('14',plain,
( ( app @ sk__52 @ sk__53 )
!= sk__49 ),
inference(simplify,[status(thm)],[zip_derived_cl318]) ).
thf('15',plain,
( ( neq @ sk__48 @ nil )
| ( ( app @ sk__52 @ sk__53 )
= sk__49 ) ),
inference(split,[status(esa)],[zip_derived_cl203]) ).
thf('16',plain,
( ~ ( neq @ sk__48 @ nil )
| ( neq @ sk__50 @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl264,zip_derived_cl213]) ).
thf(zip_derived_cl323,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','14','15','16']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC010+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QVx8Y7Shw6 true
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 17:55:32 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.51/0.65 % Total configuration time : 435
% 0.51/0.65 % Estimated wc time : 1092
% 0.51/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.78 % Solved by fo/fo1_av.sh.
% 0.56/0.78 % done 83 iterations in 0.044s
% 0.56/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.78 % SZS output start Refutation
% See solution above
% 0.56/0.78
% 0.56/0.78
% 0.56/0.78 % Terminating...
% 0.58/0.85 % Runner terminated.
% 0.58/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------