TSTP Solution File: SWC417+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC417+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1KwJgrvmAK true
% Computer : n021.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 21:31:28 EDT 2023
% Result : Theorem 0.55s 0.86s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 64 ( 21 unt; 12 typ; 0 def)
% Number of atoms : 146 ( 54 equ; 0 cnn)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 465 ( 77 ~; 68 |; 10 &; 294 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 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 : 45 ( 0 ^; 39 !; 6 ?; 45 :)
% 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(sk__8_type,type,
sk__8: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $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(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 @ ( app @ X1 @ ( cons @ Y @ nil ) ) @ Z )
= U )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= V )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ! [X2: $i] :
( ( ssItem @ X2 )
=> ! [X3: $i] :
( ( ssList @ X3 )
=> ( ( ( app @ ( cons @ X2 @ nil ) @ X3 )
!= X )
| ( ( app @ X3 @ ( cons @ X2 @ nil ) )
!= W ) ) ) ) )
& ( ~ ( 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 @ ( app @ X1 @ ( cons @ Y @ nil ) ) @ Z )
= U )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= V )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ! [X2: $i] :
( ( ssItem @ X2 )
=> ! [X3: $i] :
( ( ssList @ X3 )
=> ( ( ( app @ ( cons @ X2 @ nil ) @ X3 )
!= X )
| ( ( app @ X3 @ ( cons @ X2 @ nil ) )
!= W ) ) ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl39,plain,
( ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__7 )
| ~ ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42_001,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30,plain,
( ( neq @ sk__5 @ nil )
| ( neq @ sk__5 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61,plain,
neq @ sk__5 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl126,plain,
( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__5 ),
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl42,zip_derived_cl42,zip_derived_cl61]) ).
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(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__5 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ X2 )
!= sk__4 )
| ~ ( ssList @ X2 )
| ~ ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42_002,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__5 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ X2 )
!= sk__4 )
| ~ ( ssList @ X2 )
| ~ ( neq @ sk__5 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl42]) ).
thf(zip_derived_cl61_003,plain,
neq @ sk__5 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X2 @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__5 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ X2 )
!= sk__4 )
| ~ ( ssList @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl61]) ).
thf(zip_derived_cl91,plain,
! [X0: $i,X1: $i] :
( ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__5 )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssList @ nil )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ nil )
!= sk__4 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl62]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl8,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl104,plain,
! [X0: $i,X1: $i] :
( ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__5 )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ nil )
!= sk__4 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl8]) ).
thf(zip_derived_cl645,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ nil )
!= sk__4 )
| ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl104]) ).
thf(zip_derived_cl8_004,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl657,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ nil )
!= sk__4 )
| ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl645,zip_derived_cl8]) ).
thf(zip_derived_cl658,plain,
! [X0: $i,X1: $i] :
( ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__5 )
| ( ( app @ ( app @ X1 @ ( cons @ X0 @ nil ) ) @ nil )
!= sk__4 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl657]) ).
thf(zip_derived_cl667,plain,
( ( sk__5 != sk__5 )
| ~ ( ssItem @ sk__8 )
| ~ ( ssList @ sk__9 )
| ( ( app @ ( app @ sk__9 @ ( cons @ sk__8 @ nil ) ) @ nil )
!= sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl658]) ).
thf(zip_derived_cl34,plain,
( ( ssItem @ sk__8 )
| ( neq @ sk__5 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl35,plain,
( ( ssItem @ sk__8 )
| ~ ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42_005,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl47,plain,
( ( ssItem @ sk__8 )
| ~ ( neq @ sk__5 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl42]) ).
thf(zip_derived_cl52,plain,
ssItem @ sk__8,
inference(clc,[status(thm)],[zip_derived_cl34,zip_derived_cl47]) ).
thf(zip_derived_cl40,plain,
( ( ssList @ sk__9 )
| ( neq @ sk__5 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41,plain,
( ( ssList @ sk__9 )
| ~ ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42_006,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl48,plain,
( ( ssList @ sk__9 )
| ~ ( neq @ sk__5 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl42]) ).
thf(zip_derived_cl53,plain,
ssList @ sk__9,
inference(clc,[status(thm)],[zip_derived_cl40,zip_derived_cl48]) ).
thf(zip_derived_cl37,plain,
( ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__6 )
| ~ ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29,plain,
sk__4 = sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42_007,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55,plain,
( ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__4 )
| ~ ( neq @ sk__5 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl29,zip_derived_cl42]) ).
thf(zip_derived_cl36,plain,
( ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__6 )
| ( neq @ sk__5 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29_008,plain,
sk__4 = sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54,plain,
( ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__4 )
| ( neq @ sk__5 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl29]) ).
thf(zip_derived_cl56,plain,
( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__4 ),
inference(clc,[status(thm)],[zip_derived_cl55,zip_derived_cl54]) ).
thf(zip_derived_cl679,plain,
( ( sk__5 != sk__5 )
| ( ( app @ sk__4 @ nil )
!= sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl667,zip_derived_cl52,zip_derived_cl53,zip_derived_cl56]) ).
thf(zip_derived_cl680,plain,
( ( app @ sk__4 @ nil )
!= sk__4 ),
inference(simplify,[status(thm)],[zip_derived_cl679]) ).
thf(zip_derived_cl681,plain,
( ( sk__4 != sk__4 )
| ~ ( ssList @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl680]) ).
thf(zip_derived_cl27,plain,
ssList @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl686,plain,
sk__4 != sk__4,
inference(demod,[status(thm)],[zip_derived_cl681,zip_derived_cl27]) ).
thf(zip_derived_cl687,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl686]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC417+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1KwJgrvmAK true
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 16:51:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.52/0.66 % Total configuration time : 435
% 0.52/0.66 % Estimated wc time : 1092
% 0.52/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.86 % Solved by fo/fo7.sh.
% 0.55/0.86 % done 121 iterations in 0.090s
% 0.55/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.86 % SZS output start Refutation
% See solution above
% 0.55/0.86
% 0.55/0.86
% 0.55/0.86 % Terminating...
% 1.46/0.95 % Runner terminated.
% 1.46/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------