TSTP Solution File: SWC309+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC309+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.CuIhPsUQH3 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 21:30:39 EDT 2023
% Result : Theorem 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 45 ( 11 unt; 12 typ; 0 def)
% Number of atoms : 115 ( 50 equ; 0 cnn)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 296 ( 58 ~; 52 |; 16 &; 156 @)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 45 ( 0 ^; 35 !; 10 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__5_type,type,
sk__5: $i ).
thf(ssItem_type,type,
ssItem: $i > $o ).
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(sk__3_type,type,
sk__3: $i > $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $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] :
( ( ( app @ Z @ ( cons @ Y @ nil ) )
= U )
& ( ( app @ ( cons @ Y @ nil ) @ Z )
= V )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ? [X1: $i] :
( ? [X2: $i] :
( ( ( app @ ( cons @ X1 @ nil ) @ X2 )
= X )
& ( ( app @ X2 @ ( cons @ X1 @ nil ) )
!= W )
& ( ssList @ X2 ) )
& ( ssItem @ X1 ) )
| ( ( nil != W )
& ( nil = X ) ) ) ) ) ) ) ).
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] :
( ( ( app @ Z @ ( cons @ Y @ nil ) )
= U )
& ( ( app @ ( cons @ Y @ nil ) @ Z )
= V )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ? [X1: $i] :
( ? [X2: $i] :
( ( ( app @ ( cons @ X1 @ nil ) @ X2 )
= X )
& ( ( app @ X2 @ ( cons @ X1 @ nil ) )
!= W )
& ( ssList @ X2 ) )
& ( ssItem @ X1 ) )
| ( ( nil != W )
& ( nil = X ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl35,plain,
ssList @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl176,plain,
ssList @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl34]) ).
thf(ax20,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil = U )
| ? [V: $i] :
( ? [W: $i] :
( ( ( cons @ W @ V )
= U )
& ( ssItem @ W ) )
& ( ssList @ V ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( ( cons @ ( sk__3 @ X0 ) @ ( sk__2 @ X0 ) )
= X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(ax81,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
= ( app @ ( cons @ V @ nil ) @ U ) ) ) ) ).
thf(zip_derived_cl21,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_cl33,plain,
! [X2: $i,X3: $i] :
( ~ ( ssList @ X2 )
| ( ( app @ X2 @ ( cons @ X3 @ nil ) )
= sk__6 )
| ( ( app @ ( cons @ X3 @ nil ) @ X2 )
!= sk__7 )
| ~ ( ssItem @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31,plain,
sk__4 = sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34_001,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl330,plain,
! [X2: $i,X3: $i] :
( ~ ( ssList @ X2 )
| ( ( app @ X2 @ ( cons @ X3 @ nil ) )
= sk__4 )
| ( ( app @ ( cons @ X3 @ nil ) @ X2 )
!= sk__5 )
| ~ ( ssItem @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl31,zip_derived_cl34]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ ( cons @ X1 @ nil ) @ X0 )
!= sk__5 )
| ( ( app @ X0 @ ( cons @ X1 @ nil ) )
!= sk__4 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl331,plain,
! [X2: $i,X3: $i] :
( ~ ( ssItem @ X3 )
| ( ( app @ ( cons @ X3 @ nil ) @ X2 )
!= sk__5 )
| ~ ( ssList @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl330,zip_derived_cl29]) ).
thf(zip_derived_cl334,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
!= sk__5 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl331]) ).
thf(zip_derived_cl339,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
!= sk__5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl334]) ).
thf(zip_derived_cl343,plain,
! [X0: $i] :
( ( X0 != sk__5 )
| ~ ( ssList @ X0 )
| ( nil = X0 )
| ~ ( ssList @ ( sk__2 @ X0 ) )
| ~ ( ssItem @ ( sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl339]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( ssList @ ( sk__2 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl381,plain,
! [X0: $i] :
( ~ ( ssItem @ ( sk__3 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 )
| ( X0 != sk__5 ) ),
inference(clc,[status(thm)],[zip_derived_cl343,zip_derived_cl14]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( ssItem @ ( sk__3 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl382,plain,
! [X0: $i] :
( ( X0 != sk__5 )
| ~ ( ssList @ X0 )
| ( nil = X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl381,zip_derived_cl12]) ).
thf(zip_derived_cl394,plain,
( ( nil = sk__5 )
| ( sk__5 != sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl382]) ).
thf(zip_derived_cl398,plain,
nil = sk__5,
inference(simplify,[status(thm)],[zip_derived_cl394]) ).
thf(zip_derived_cl30,plain,
neq @ sk__5 @ nil,
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_cl172,plain,
( ~ ( ssList @ sk__5 )
| ( sk__5 != nil )
| ~ ( ssList @ nil ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl5]) ).
thf(zip_derived_cl178,plain,
( ( sk__5 != nil )
| ~ ( ssList @ nil ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl172]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl8,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl179,plain,
sk__5 != nil,
inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl8]) ).
thf(zip_derived_cl399,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl398,zip_derived_cl179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC309+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CuIhPsUQH3 true
% 0.13/0.34 % Computer : n013.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 15:04:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.76 % Solved by fo/fo3_bce.sh.
% 0.55/0.76 % BCE start: 37
% 0.55/0.76 % BCE eliminated: 2
% 0.55/0.76 % PE start: 35
% 0.55/0.76 logic: eq
% 0.55/0.76 % PE eliminated: 1
% 0.55/0.76 % done 52 iterations in 0.039s
% 0.55/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.76 % SZS output start Refutation
% See solution above
% 0.55/0.76
% 0.55/0.76
% 0.55/0.76 % Terminating...
% 0.60/0.84 % Runner terminated.
% 0.60/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------