TSTP Solution File: GRP012+5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP012+5 : TPTP v8.1.2. Released v3.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pp1Xp9zbCP true
% Computer : n024.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 01:49:30 EDT 2023
% Result : Theorem 1.34s 0.87s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 15 unt; 7 typ; 0 def)
% Number of atoms : 83 ( 0 equ; 0 cnn)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 354 ( 27 ~; 24 |; 22 &; 273 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 98 ( 0 ^; 96 !; 2 ?; 98 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i ).
thf(inverse_type,type,
inverse: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(product_type,type,
product: $i > $i > $i > $o ).
thf(prove_distribution,conjecture,
! [E: $i] :
( ( ! [X: $i,Y: $i] :
? [Z: $i] : ( product @ X @ Y @ Z )
& ! [X: $i,Y: $i,Z: $i,U: $i,V: $i,W: $i] :
( ( ( product @ X @ Y @ U )
& ( product @ Y @ Z @ V )
& ( product @ U @ Z @ W ) )
=> ( product @ X @ V @ W ) )
& ! [X: $i,Y: $i,Z: $i,U: $i,V: $i,W: $i] :
( ( ( product @ X @ Y @ U )
& ( product @ Y @ Z @ V )
& ( product @ X @ V @ W ) )
=> ( product @ U @ Z @ W ) )
& ! [X: $i] : ( product @ X @ E @ X )
& ! [X: $i] : ( product @ E @ X @ X )
& ! [X: $i] : ( product @ X @ ( inverse @ X ) @ E )
& ! [X: $i] : ( product @ ( inverse @ X ) @ X @ E ) )
=> ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( product @ ( inverse @ U ) @ ( inverse @ V ) @ W )
& ( product @ V @ U @ X ) )
=> ( product @ ( inverse @ W ) @ ( inverse @ X ) @ E ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [E: $i] :
( ( ! [X: $i,Y: $i] :
? [Z: $i] : ( product @ X @ Y @ Z )
& ! [X: $i,Y: $i,Z: $i,U: $i,V: $i,W: $i] :
( ( ( product @ X @ Y @ U )
& ( product @ Y @ Z @ V )
& ( product @ U @ Z @ W ) )
=> ( product @ X @ V @ W ) )
& ! [X: $i,Y: $i,Z: $i,U: $i,V: $i,W: $i] :
( ( ( product @ X @ Y @ U )
& ( product @ Y @ Z @ V )
& ( product @ X @ V @ W ) )
=> ( product @ U @ Z @ W ) )
& ! [X: $i] : ( product @ X @ E @ X )
& ! [X: $i] : ( product @ E @ X @ X )
& ! [X: $i] : ( product @ X @ ( inverse @ X ) @ E )
& ! [X: $i] : ( product @ ( inverse @ X ) @ X @ E ) )
=> ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( product @ ( inverse @ U ) @ ( inverse @ V ) @ W )
& ( product @ V @ U @ X ) )
=> ( product @ ( inverse @ W ) @ ( inverse @ X ) @ E ) ) ),
inference('cnf.neg',[status(esa)],[prove_distribution]) ).
thf(zip_derived_cl4,plain,
! [X1: $i] : ( product @ X1 @ ( inverse @ X1 ) @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X2: $i] : ( product @ sk__1 @ X2 @ X2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
! [X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ~ ( product @ X6 @ X7 @ X8 )
| ~ ( product @ X9 @ X6 @ X10 )
| ~ ( product @ X10 @ X7 @ X11 )
| ( product @ X9 @ X8 @ X11 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ X2 @ X0 @ X1 )
| ~ ( product @ X3 @ X0 @ X1 )
| ~ ( product @ X2 @ sk__1 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl8]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ~ ( product @ X1 @ sk__1 @ X0 )
| ( product @ X1 @ ( inverse @ X0 ) @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl11]) ).
thf(zip_derived_cl0,plain,
~ ( product @ ( inverse @ sk__4 ) @ ( inverse @ sk__5 ) @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl609,plain,
~ ( product @ ( inverse @ sk__4 ) @ sk__1 @ sk__5 ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl0]) ).
thf(zip_derived_cl5_001,plain,
! [X2: $i] : ( product @ sk__1 @ X2 @ X2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
product @ ( inverse @ sk__2 ) @ ( inverse @ sk__3 ) @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] : ( product @ ( inverse @ X0 ) @ X0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
! [X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
( ~ ( product @ X12 @ X13 @ X14 )
| ~ ( product @ X15 @ X12 @ X16 )
| ~ ( product @ X15 @ X14 @ X17 )
| ( product @ X16 @ X13 @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ X2 @ X0 @ X1 )
| ~ ( product @ X3 @ sk__1 @ X1 )
| ~ ( product @ X3 @ ( inverse @ X0 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl9]) ).
thf(zip_derived_cl363,plain,
! [X0: $i] :
( ~ ( product @ ( inverse @ sk__2 ) @ sk__1 @ X0 )
| ( product @ sk__4 @ sk__3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl73]) ).
thf(zip_derived_cl6,plain,
! [X3: $i] : ( product @ X3 @ sk__1 @ X3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl373,plain,
product @ sk__4 @ sk__3 @ ( inverse @ sk__2 ),
inference('sup+',[status(thm)],[zip_derived_cl363,zip_derived_cl6]) ).
thf(zip_derived_cl3_002,plain,
! [X0: $i] : ( product @ ( inverse @ X0 ) @ X0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
product @ sk__3 @ sk__2 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_003,plain,
! [X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ~ ( product @ X6 @ X7 @ X8 )
| ~ ( product @ X9 @ X6 @ X10 )
| ~ ( product @ X10 @ X7 @ X11 )
| ( product @ X9 @ X8 @ X11 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X1 @ sk__5 @ X0 )
| ~ ( product @ X2 @ sk__2 @ X0 )
| ~ ( product @ X1 @ sk__3 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl8]) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ~ ( product @ X0 @ sk__3 @ ( inverse @ sk__2 ) )
| ( product @ X0 @ sk__5 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl27]) ).
thf(zip_derived_cl496,plain,
product @ sk__4 @ sk__5 @ sk__1,
inference('sup-',[status(thm)],[zip_derived_cl373,zip_derived_cl57]) ).
thf(zip_derived_cl8_004,plain,
! [X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ~ ( product @ X6 @ X7 @ X8 )
| ~ ( product @ X9 @ X6 @ X10 )
| ~ ( product @ X10 @ X7 @ X11 )
| ( product @ X9 @ X8 @ X11 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl498,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X1 @ sk__1 @ X0 )
| ~ ( product @ X2 @ sk__5 @ X0 )
| ~ ( product @ X1 @ sk__4 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl8]) ).
thf(zip_derived_cl650,plain,
! [X0: $i] :
( ~ ( product @ X0 @ sk__4 @ sk__1 )
| ( product @ X0 @ sk__1 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl498]) ).
thf(zip_derived_cl3_005,plain,
! [X0: $i] : ( product @ ( inverse @ X0 ) @ X0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl654,plain,
product @ ( inverse @ sk__4 ) @ sk__1 @ sk__5,
inference('sup+',[status(thm)],[zip_derived_cl650,zip_derived_cl3]) ).
thf(zip_derived_cl661,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl609,zip_derived_cl654]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP012+5 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pp1Xp9zbCP true
% 0.14/0.34 % Computer : n024.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 : Tue Aug 29 02:39:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.14/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.14/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.32/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.32/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.32/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.87 % Solved by fo/fo4.sh.
% 1.34/0.87 % done 207 iterations in 0.103s
% 1.34/0.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.34/0.87 % SZS output start Refutation
% See solution above
% 1.34/0.87
% 1.34/0.87
% 1.34/0.87 % Terminating...
% 1.34/0.93 % Runner terminated.
% 1.34/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------