TSTP Solution File: SWC106+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC106+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.0fySjNLbyz true
% Computer : n004.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 21:29:12 EDT 2023
% Result : Theorem 1.21s 0.77s
% Output : Refutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 69 ( 27 unt; 13 typ; 0 def)
% Number of atoms : 132 ( 39 equ; 0 cnn)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 305 ( 57 ~; 51 |; 5 &; 172 @)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 28 ( 0 ^; 27 !; 1 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(rearsegP_type,type,
rearsegP: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
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] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ( ( ( cons @ Y @ nil )
!= W )
| ( ( app @ Z @ ( cons @ Y @ nil ) )
!= X ) ) ) )
| ( ( neq @ U @ nil )
& ( rearsegP @ V @ U ) ) )
& ( ~ ( 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] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ( ( ( cons @ Y @ nil )
!= W )
| ( ( app @ Z @ ( cons @ Y @ nil ) )
!= X ) ) ) )
| ( ( neq @ U @ nil )
& ( rearsegP @ V @ U ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl51,plain,
( ~ ( rearsegP @ sk__6 @ sk__5 )
| ~ ( neq @ sk__5 @ nil )
| ~ ( neq @ sk__8 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl346,plain,
( ~ ( rearsegP @ sk__6 @ sk__5 )
| ~ ( neq @ sk__5 @ nil )
| ~ ( neq @ sk__6 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl52]) ).
thf(zip_derived_cl40,plain,
( ( neq @ sk__6 @ nil )
| ( neq @ sk__6 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl394,plain,
neq @ sk__6 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl395,plain,
( ~ ( rearsegP @ sk__6 @ sk__5 )
| ~ ( neq @ sk__5 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl394]) ).
thf(zip_derived_cl47,plain,
( ( ( app @ sk__10 @ ( cons @ sk__9 @ nil ) )
= sk__8 )
| ~ ( neq @ sk__8 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44,plain,
( ( ( cons @ sk__9 @ nil )
= sk__7 )
| ( neq @ sk__6 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl360,plain,
( ( ( cons @ sk__9 @ nil )
= sk__5 )
| ( neq @ sk__6 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl39]) ).
thf(zip_derived_cl45,plain,
( ( ( cons @ sk__9 @ nil )
= sk__7 )
| ~ ( neq @ sk__8 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39_001,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52_002,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl334,plain,
( ( ( cons @ sk__9 @ nil )
= sk__5 )
| ~ ( neq @ sk__6 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl39,zip_derived_cl52]) ).
thf(zip_derived_cl361,plain,
( ( cons @ sk__9 @ nil )
= sk__5 ),
inference(clc,[status(thm)],[zip_derived_cl360,zip_derived_cl334]) ).
thf(zip_derived_cl52_003,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52_004,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl394_005,plain,
neq @ sk__6 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl418,plain,
( ( app @ sk__10 @ sk__5 )
= sk__6 ),
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl361,zip_derived_cl52,zip_derived_cl52,zip_derived_cl394]) ).
thf(ax6,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( rearsegP @ U @ V )
<=> ? [W: $i] :
( ( ( app @ W @ V )
= U )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ X2 @ X0 )
!= X1 )
| ~ ( ssList @ X2 )
| ( rearsegP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl419,plain,
! [X0: $i] :
( ( sk__6 != X0 )
| ~ ( ssList @ X0 )
| ( rearsegP @ X0 @ sk__5 )
| ~ ( ssList @ sk__10 )
| ~ ( ssList @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl7]) ).
thf(zip_derived_cl48,plain,
( ( ssList @ sk__10 )
| ( neq @ sk__6 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49,plain,
( ( ssList @ sk__10 )
| ~ ( neq @ sk__8 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52_006,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl314,plain,
( ( ssList @ sk__10 )
| ~ ( neq @ sk__6 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl52]) ).
thf(zip_derived_cl359,plain,
ssList @ sk__10,
inference(clc,[status(thm)],[zip_derived_cl48,zip_derived_cl314]) ).
thf(zip_derived_cl37,plain,
ssList @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl423,plain,
! [X0: $i] :
( ( sk__6 != X0 )
| ~ ( ssList @ X0 )
| ( rearsegP @ X0 @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl419,zip_derived_cl359,zip_derived_cl37]) ).
thf(zip_derived_cl434,plain,
( ~ ( neq @ sk__5 @ nil )
| ~ ( ssList @ sk__6 )
| ( sk__6 != sk__6 ) ),
inference('sup+',[status(thm)],[zip_derived_cl395,zip_derived_cl423]) ).
thf(zip_derived_cl53,plain,
ssList @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52_007,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl312,plain,
ssList @ sk__6,
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl52]) ).
thf(zip_derived_cl437,plain,
( ~ ( neq @ sk__5 @ nil )
| ( sk__6 != sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl434,zip_derived_cl312]) ).
thf(zip_derived_cl438,plain,
~ ( neq @ sk__5 @ nil ),
inference(simplify,[status(thm)],[zip_derived_cl437]) ).
thf(zip_derived_cl470,plain,
( ~ ( ssList @ sk__5 )
| ( sk__5 = nil )
| ~ ( ssList @ nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl438]) ).
thf(zip_derived_cl37_008,plain,
ssList @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl11,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl472,plain,
sk__5 = nil,
inference(demod,[status(thm)],[zip_derived_cl470,zip_derived_cl37,zip_derived_cl11]) ).
thf(zip_derived_cl361_009,plain,
( ( cons @ sk__9 @ nil )
= sk__5 ),
inference(clc,[status(thm)],[zip_derived_cl360,zip_derived_cl334]) ).
thf(ax18,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
!= U ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl362,plain,
( ( sk__5 != nil )
| ~ ( ssList @ nil )
| ~ ( ssItem @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl361,zip_derived_cl12]) ).
thf(zip_derived_cl11_010,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl42,plain,
( ( ssItem @ sk__9 )
| ( neq @ sk__6 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43,plain,
( ( ssItem @ sk__9 )
| ~ ( neq @ sk__8 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52_011,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl313,plain,
( ( ssItem @ sk__9 )
| ~ ( neq @ sk__6 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl52]) ).
thf(zip_derived_cl345,plain,
ssItem @ sk__9,
inference(clc,[status(thm)],[zip_derived_cl42,zip_derived_cl313]) ).
thf(zip_derived_cl364,plain,
sk__5 != nil,
inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl11,zip_derived_cl345]) ).
thf(zip_derived_cl473,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl472,zip_derived_cl364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : SWC106+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0fySjNLbyz true
% 0.11/0.35 % Computer : n004.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 15:13:52 EDT 2023
% 0.11/0.35 % CPUTime :
% 0.11/0.35 % Running portfolio for 300 s
% 0.11/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Number of cores: 8
% 0.11/0.35 % Python version: Python 3.6.8
% 0.11/0.35 % Running in FO mode
% 0.18/0.57 % Total configuration time : 435
% 0.18/0.57 % Estimated wc time : 1092
% 0.18/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.21/0.77 % Solved by fo/fo3_bce.sh.
% 1.21/0.77 % BCE start: 55
% 1.21/0.77 % BCE eliminated: 0
% 1.21/0.77 % PE start: 55
% 1.21/0.77 logic: eq
% 1.21/0.77 % PE eliminated: 0
% 1.21/0.77 % done 66 iterations in 0.058s
% 1.21/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.21/0.77 % SZS output start Refutation
% See solution above
% 1.21/0.77
% 1.21/0.77
% 1.21/0.77 % Terminating...
% 1.40/0.95 % Runner terminated.
% 1.40/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------