TSTP Solution File: GRP001+6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP001+6 : TPTP v8.1.2. Released v3.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WRg7UNqaIR true
% Computer : n026.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 01:49:25 EDT 2023
% Result : Theorem 1.31s 0.98s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 50 ( 22 unt; 6 typ; 0 def)
% Number of atoms : 112 ( 0 equ; 0 cnn)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 457 ( 40 ~; 38 |; 20 &; 349 @)
% ( 0 <=>; 10 =>; 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 : 7 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 136 ( 0 ^; 134 !; 2 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(inverse_type,type,
inverse: $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(product_type,type,
product: $i > $i > $i > $o ).
thf(commutativity,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 ) )
=> ( ! [X: $i] : ( product @ X @ X @ E )
=> ! [U: $i,V: $i,W: $i] :
( ( product @ U @ V @ W )
=> ( product @ V @ U @ W ) ) ) ) ).
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 ) )
=> ( ! [X: $i] : ( product @ X @ X @ E )
=> ! [U: $i,V: $i,W: $i] :
( ( product @ U @ V @ W )
=> ( product @ V @ U @ W ) ) ) ),
inference('cnf.neg',[status(esa)],[commutativity]) ).
thf(zip_derived_cl8,plain,
~ ( product @ sk__1 @ sk_ @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X2: $i] : ( product @ X2 @ ( inverse @ X2 ) @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_001,plain,
! [X2: $i] : ( product @ X2 @ ( inverse @ X2 ) @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X3: $i] : ( product @ sk__4 @ X3 @ X3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i] : ( product @ X0 @ X0 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
! [X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
( ~ ( product @ X7 @ X8 @ X9 )
| ~ ( product @ X10 @ X7 @ X11 )
| ~ ( product @ X11 @ X8 @ X12 )
| ( product @ X10 @ X9 @ X12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ X2 @ sk__4 @ X1 )
| ~ ( product @ X3 @ X0 @ X1 )
| ~ ( product @ X2 @ X0 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl6]) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i] :
( ~ ( product @ X1 @ X0 @ sk__4 )
| ( product @ X1 @ sk__4 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl10]) ).
thf(zip_derived_cl100,plain,
! [X0: $i] : ( product @ X0 @ sk__4 @ ( inverse @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl96]) ).
thf(zip_derived_cl1,plain,
! [X1: $i] : ( product @ ( inverse @ X1 ) @ X1 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl96_002,plain,
! [X0: $i,X1: $i] :
( ~ ( product @ X1 @ X0 @ sk__4 )
| ( product @ X1 @ sk__4 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl10]) ).
thf(zip_derived_cl103,plain,
! [X0: $i] : ( product @ ( inverse @ X0 ) @ sk__4 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl96]) ).
thf(zip_derived_cl6_003,plain,
! [X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
( ~ ( product @ X7 @ X8 @ X9 )
| ~ ( product @ X10 @ X7 @ X11 )
| ~ ( product @ X11 @ X8 @ X12 )
| ( product @ X10 @ X9 @ X12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ X2 @ X0 @ X1 )
| ~ ( product @ X3 @ sk__4 @ X1 )
| ~ ( product @ X2 @ ( inverse @ X0 ) @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl6]) ).
thf(zip_derived_cl149,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( product @ X2 @ ( inverse @ X1 ) @ X0 )
| ( product @ X2 @ X1 @ ( inverse @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl116]) ).
thf(zip_derived_cl171,plain,
! [X0: $i] : ( product @ X0 @ X0 @ ( inverse @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl149]) ).
thf(zip_derived_cl1_004,plain,
! [X1: $i] : ( product @ ( inverse @ X1 ) @ X1 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_005,plain,
! [X3: $i] : ( product @ sk__4 @ X3 @ X3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_006,plain,
! [X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
( ~ ( product @ X7 @ X8 @ X9 )
| ~ ( product @ X10 @ X7 @ X11 )
| ~ ( product @ X11 @ X8 @ X12 )
| ( product @ X10 @ X9 @ X12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ X3 @ X0 @ X0 )
| ~ ( product @ X2 @ X1 @ X0 )
| ~ ( product @ X3 @ X2 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i] :
( ~ ( product @ X1 @ sk__4 @ sk__4 )
| ( product @ X1 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl15]) ).
thf(zip_derived_cl57,plain,
! [X0: $i] : ( product @ ( inverse @ sk__4 ) @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl40]) ).
thf(zip_derived_cl9,plain,
product @ sk_ @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_007,plain,
! [X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
( ~ ( product @ X7 @ X8 @ X9 )
| ~ ( product @ X10 @ X7 @ X11 )
| ~ ( product @ X11 @ X8 @ X12 )
| ( product @ X10 @ X9 @ X12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X1 @ sk__2 @ X0 )
| ~ ( product @ X2 @ sk__1 @ X0 )
| ~ ( product @ X1 @ sk_ @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).
thf(zip_derived_cl177,plain,
! [X0: $i] :
( ~ ( product @ X0 @ sk_ @ ( inverse @ sk__4 ) )
| ( product @ X0 @ sk__2 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl12]) ).
thf(zip_derived_cl270,plain,
product @ sk_ @ sk__2 @ sk__1,
inference('sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl177]) ).
thf(zip_derived_cl4,plain,
! [X4: $i] : ( product @ X4 @ sk__4 @ X4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_008,plain,
! [X0: $i] : ( product @ X0 @ X0 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
( ~ ( product @ X13 @ X14 @ X15 )
| ~ ( product @ X16 @ X13 @ X17 )
| ~ ( product @ X16 @ X15 @ X18 )
| ( product @ X17 @ X14 @ X18 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ X2 @ X0 @ X1 )
| ~ ( product @ X3 @ sk__4 @ X1 )
| ~ ( product @ X3 @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl7]) ).
thf(zip_derived_cl810,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( product @ X0 @ X2 @ X1 )
| ( product @ X1 @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl777]) ).
thf(zip_derived_cl841,plain,
product @ sk__1 @ sk__2 @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl270,zip_derived_cl810]) ).
thf(zip_derived_cl9_009,plain,
product @ sk_ @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_010,plain,
product @ sk_ @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl810_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( product @ X0 @ X2 @ X1 )
| ( product @ X1 @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl777]) ).
thf(zip_derived_cl840,plain,
product @ sk__2 @ sk__1 @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl810]) ).
thf(zip_derived_cl6_012,plain,
! [X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
( ~ ( product @ X7 @ X8 @ X9 )
| ~ ( product @ X10 @ X7 @ X11 )
| ~ ( product @ X11 @ X8 @ X12 )
| ( product @ X10 @ X9 @ X12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl866,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X1 @ sk_ @ X0 )
| ~ ( product @ X2 @ sk__1 @ X0 )
| ~ ( product @ X1 @ sk__2 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl840,zip_derived_cl6]) ).
thf(zip_derived_cl1556,plain,
! [X0: $i] :
( ~ ( product @ X0 @ sk__2 @ sk_ )
| ( product @ X0 @ sk_ @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl866]) ).
thf(zip_derived_cl1564,plain,
product @ sk__1 @ sk_ @ sk__2,
inference('sup-',[status(thm)],[zip_derived_cl841,zip_derived_cl1556]) ).
thf(zip_derived_cl1568,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl1564]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP001+6 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WRg7UNqaIR true
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 22:01:20 EDT 2023
% 0.21/0.36 % CPUTime :
% 0.21/0.36 % Running portfolio for 300 s
% 0.21/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.36 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.98 % Solved by fo/fo7.sh.
% 1.31/0.98 % done 594 iterations in 0.213s
% 1.31/0.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.31/0.98 % SZS output start Refutation
% See solution above
% 1.31/0.98
% 1.31/0.98
% 1.31/0.98 % Terminating...
% 1.55/1.07 % Runner terminated.
% 1.66/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------