TSTP Solution File: SWC046+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC046+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.6Z0mZnH0yz true
% Computer : n022.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 21:28:45 EDT 2023
% Result : Theorem 0.53s 1.32s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 51 ( 14 unt; 13 typ; 0 def)
% Number of atoms : 120 ( 34 equ; 0 cnn)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 306 ( 50 ~; 54 |; 12 &; 174 @)
% ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 42 ( 0 ^; 36 !; 6 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__8_type,type,
sk__8: $i ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__6_type,type,
sk__6: $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(ax20,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil = U )
| ? [V: $i] :
( ? [W: $i] :
( ( ( cons @ W @ V )
= U )
& ( ssItem @ W ) )
& ( ssList @ V ) ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ( ( cons @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) )
= X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(ax37,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( memberP @ ( cons @ V @ W ) @ U )
<=> ( ( U = V )
| ( memberP @ W @ U ) ) ) ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ( X1 != X0 )
| ( memberP @ ( cons @ X0 @ X2 ) @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl1221,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( memberP @ ( cons @ X0 @ X1 ) @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl1222,plain,
! [X0: $i,X1: $i] :
( ( memberP @ ( cons @ X0 @ X1 ) @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1221]) ).
thf(zip_derived_cl1933,plain,
! [X0: $i] :
( ( memberP @ X0 @ ( sk__7 @ X0 ) )
| ~ ( ssList @ X0 )
| ( nil = X0 )
| ~ ( ssItem @ ( sk__7 @ X0 ) )
| ~ ( ssList @ ( sk__6 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl1222]) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( ssItem @ ( sk__7 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl2606,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__6 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 )
| ( memberP @ X0 @ ( sk__7 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1933,zip_derived_cl16]) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( ssList @ ( sk__6 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl2607,plain,
! [X0: $i] :
( ( memberP @ X0 @ ( sk__7 @ X0 ) )
| ~ ( ssList @ X0 )
| ( nil = X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl2606,zip_derived_cl18]) ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( nil != V )
| ( V != X )
| ( U != W )
| ( nil = U )
| ? [Y: $i] :
( ( ( ( ? [Z: $i] :
( ( segmentP @ X @ ( app @ ( app @ ( cons @ Y @ nil ) @ Z ) @ ( cons @ Y @ nil ) ) )
& ( ssList @ Z ) )
| ~ ( memberP @ X @ Y ) )
& ( memberP @ W @ Y ) )
| ( ( memberP @ X @ Y )
& ! [Z: $i] :
( ( ssList @ Z )
=> ~ ( segmentP @ X @ ( app @ ( app @ ( cons @ Y @ nil ) @ Z ) @ ( cons @ Y @ nil ) ) ) )
& ~ ( memberP @ W @ Y ) ) )
& ( ssItem @ Y ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( nil != V )
| ( V != X )
| ( U != W )
| ( nil = U )
| ? [Y: $i] :
( ( ( ( ? [Z: $i] :
( ( segmentP @ X @ ( app @ ( app @ ( cons @ Y @ nil ) @ Z ) @ ( cons @ Y @ nil ) ) )
& ( ssList @ Z ) )
| ~ ( memberP @ X @ Y ) )
& ( memberP @ W @ Y ) )
| ( ( memberP @ X @ Y )
& ! [Z: $i] :
( ( ssList @ Z )
=> ~ ( segmentP @ X @ ( app @ ( app @ ( cons @ Y @ nil ) @ Z ) @ ( cons @ Y @ nil ) ) ) )
& ~ ( memberP @ W @ Y ) ) )
& ( ssItem @ Y ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl49,plain,
nil = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2727,plain,
! [X0: $i] :
( ( X0 = sk__9 )
| ~ ( ssList @ X0 )
| ( memberP @ X0 @ ( sk__7 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2607,zip_derived_cl49]) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ~ ( memberP @ sk__10 @ X0 )
| ( memberP @ sk__11 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl48,plain,
sk__8 = sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54,plain,
sk__9 = sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl211,plain,
! [X0: $i] :
( ~ ( memberP @ sk__8 @ X0 )
| ( memberP @ sk__9 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl48,zip_derived_cl54]) ).
thf(ax38,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ~ ( memberP @ nil @ U ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl49_001,plain,
nil = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58,plain,
! [X0: $i] :
( ~ ( memberP @ sk__9 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl49]) ).
thf(zip_derived_cl212,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ sk__8 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl211,zip_derived_cl58]) ).
thf(zip_derived_cl2992,plain,
( ~ ( ssList @ sk__8 )
| ( sk__8 = sk__9 )
| ~ ( ssItem @ ( sk__7 @ sk__8 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2727,zip_derived_cl212]) ).
thf(zip_derived_cl45,plain,
ssList @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45_002,plain,
ssList @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49_003,plain,
nil = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16_004,plain,
! [X0: $i] :
( ( ssItem @ ( sk__7 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl74,plain,
! [X0: $i] :
( ( sk__9 = X0 )
| ~ ( ssList @ X0 )
| ( ssItem @ ( sk__7 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl49,zip_derived_cl16]) ).
thf(zip_derived_cl78,plain,
( ( ssItem @ ( sk__7 @ sk__8 ) )
| ( sk__9 = sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl74]) ).
thf(zip_derived_cl47,plain,
nil != sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49_005,plain,
nil = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59,plain,
sk__9 != sk__8,
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl49]) ).
thf(zip_derived_cl80,plain,
ssItem @ ( sk__7 @ sk__8 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl78,zip_derived_cl59]) ).
thf(zip_derived_cl3008,plain,
sk__8 = sk__9,
inference(demod,[status(thm)],[zip_derived_cl2992,zip_derived_cl45,zip_derived_cl80]) ).
thf(zip_derived_cl59_006,plain,
sk__9 != sk__8,
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl49]) ).
thf(zip_derived_cl3009,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3008,zip_derived_cl59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC046+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6Z0mZnH0yz true
% 0.11/0.33 % Computer : n022.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 28 15:16:24 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.18/0.60 % Total configuration time : 435
% 0.18/0.60 % Estimated wc time : 1092
% 0.18/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.53/1.32 % Solved by fo/fo7.sh.
% 0.53/1.32 % done 279 iterations in 0.587s
% 0.53/1.32 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/1.32 % SZS output start Refutation
% See solution above
% 0.53/1.32
% 0.53/1.32
% 0.53/1.32 % Terminating...
% 5.57/1.43 % Runner terminated.
% 5.57/1.45 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------