TSTP Solution File: SET799+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET799+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.d8Nrkca4gm true
% Computer : n027.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 16:16:05 EDT 2023
% Result : Theorem 0.23s 0.81s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 32 ( 9 unt; 12 typ; 0 def)
% Number of atoms : 49 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 168 ( 12 ~; 8 |; 9 &; 127 @)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 41 ( 0 ^; 41 !; 0 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__23_type,type,
sk__23: $i ).
thf(sk__20_type,type,
sk__20: $i ).
thf(sk__22_type,type,
sk__22: $i ).
thf(order_type,type,
order: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(upper_bound_type,type,
upper_bound: $i > $i > $i > $o ).
thf(sk__19_type,type,
sk__19: $i ).
thf(apply_type,type,
apply: $i > $i > $i > $o ).
thf(sk__21_type,type,
sk__21: $i ).
thf(least_upper_bound_type,type,
least_upper_bound: $i > $i > $i > $i > $o ).
thf(sk__24_type,type,
sk__24: $i ).
thf(thIV11,conjecture,
! [R: $i,E: $i] :
( ( order @ R @ E )
=> ! [X1: $i,X2: $i] :
( ( ( subset @ X1 @ E )
& ( subset @ X2 @ E )
& ( subset @ X1 @ X2 ) )
=> ! [M1: $i,M2: $i] :
( ( ( least_upper_bound @ M1 @ X1 @ R @ E )
& ( least_upper_bound @ M2 @ X2 @ R @ E ) )
=> ( apply @ R @ M1 @ M2 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [R: $i,E: $i] :
( ( order @ R @ E )
=> ! [X1: $i,X2: $i] :
( ( ( subset @ X1 @ E )
& ( subset @ X2 @ E )
& ( subset @ X1 @ X2 ) )
=> ! [M1: $i,M2: $i] :
( ( ( least_upper_bound @ M1 @ X1 @ R @ E )
& ( least_upper_bound @ M2 @ X2 @ R @ E ) )
=> ( apply @ R @ M1 @ M2 ) ) ) ),
inference('cnf.neg',[status(esa)],[thIV11]) ).
thf(zip_derived_cl106,plain,
subset @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(subset,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl736,plain,
! [X0: $i] :
( ( member @ X0 @ sk__22 )
| ~ ( member @ X0 @ sk__21 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl106,zip_derived_cl0]) ).
thf(zip_derived_cl108,plain,
least_upper_bound @ sk__24 @ sk__22 @ sk__19 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(least_upper_bound,axiom,
! [A: $i,X: $i,R: $i,E: $i] :
( ( least_upper_bound @ A @ X @ R @ E )
<=> ( ( member @ A @ X )
& ( upper_bound @ A @ R @ X )
& ! [M: $i] :
( ( ( member @ M @ E )
& ( upper_bound @ M @ R @ X ) )
=> ( apply @ R @ A @ M ) ) ) ) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( upper_bound @ X0 @ X1 @ X2 )
| ~ ( least_upper_bound @ X0 @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[least_upper_bound]) ).
thf(zip_derived_cl751,plain,
upper_bound @ sk__24 @ sk__19 @ sk__22,
inference('dp-resolution',[status(thm)],[zip_derived_cl108,zip_derived_cl92]) ).
thf(upper_bound,axiom,
! [R: $i,E: $i,M: $i] :
( ( upper_bound @ M @ R @ E )
<=> ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ M ) ) ) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X0 @ X1 )
| ( apply @ X2 @ X0 @ X3 )
| ~ ( upper_bound @ X3 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[upper_bound]) ).
thf(zip_derived_cl823,plain,
! [X0: $i] :
( ( apply @ sk__19 @ X0 @ sk__24 )
| ~ ( member @ X0 @ sk__22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl751,zip_derived_cl67]) ).
thf(zip_derived_cl109,plain,
~ ( apply @ sk__19 @ sk__23 @ sk__24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl824,plain,
~ ( member @ sk__23 @ sk__22 ),
inference('sup-',[status(thm)],[zip_derived_cl823,zip_derived_cl109]) ).
thf(zip_derived_cl827,plain,
~ ( member @ sk__23 @ sk__21 ),
inference('sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl824]) ).
thf(zip_derived_cl107,plain,
least_upper_bound @ sk__23 @ sk__21 @ sk__19 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( member @ X0 @ X1 )
| ~ ( least_upper_bound @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[least_upper_bound]) ).
thf(zip_derived_cl747,plain,
member @ sk__23 @ sk__21,
inference('dp-resolution',[status(thm)],[zip_derived_cl107,zip_derived_cl91]) ).
thf(zip_derived_cl828,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl827,zip_derived_cl747]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET799+4 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.d8Nrkca4gm true
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 16:19:35 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.23/0.64 % Total configuration time : 435
% 0.23/0.64 % Estimated wc time : 1092
% 0.23/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.23/0.81 % Solved by fo/fo3_bce.sh.
% 0.23/0.81 % BCE start: 110
% 0.23/0.81 % BCE eliminated: 0
% 0.23/0.81 % PE start: 110
% 0.23/0.81 logic: eq
% 0.23/0.81 % PE eliminated: 13
% 0.23/0.81 % done 46 iterations in 0.047s
% 0.23/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.23/0.81 % SZS output start Refutation
% See solution above
% 1.26/0.81
% 1.26/0.81
% 1.26/0.81 % Terminating...
% 1.26/0.86 % Runner terminated.
% 1.58/0.87 % Zipperpin 1.5 exiting
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