%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET800+4 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8mHsU3w5aD 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 Oct 2 04:52:51 PM UTC 2025
% Result : Theorem 0.52s 0.84s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 9 unt; 0 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 : 0 ( 0 >; 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(lower_bound_type,type,
lower_bound: $i > $i > $i > $o ).
thf(order_type,type,
order: $i > $i > $o ).
thf(subset_type,type,
subset: $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(greatest_lower_bound_type,type,
greatest_lower_bound: $i > $i > $i > $i > $o ).
thf(sk__24_type,type,
sk__24: $i ).
thf(thIV12,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] :
( ( ( greatest_lower_bound @ M1 @ X1 @ R @ E )
& ( greatest_lower_bound @ M2 @ X2 @ R @ E ) )
=> ( apply @ R @ M2 @ M1 ) ) ) ) ).
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] :
( ( ( greatest_lower_bound @ M1 @ X1 @ R @ E )
& ( greatest_lower_bound @ M2 @ X2 @ R @ E ) )
=> ( apply @ R @ M2 @ M1 ) ) ) ),
inference('cnf.neg',[status(esa)],[thIV12]) ).
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,
greatest_lower_bound @ sk__24 @ sk__22 @ sk__19 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(greatest_lower_bound,axiom,
! [A: $i,X: $i,R: $i,E: $i] :
( ( greatest_lower_bound @ A @ X @ R @ E )
<=> ( ( member @ A @ X )
& ( lower_bound @ A @ R @ X )
& ! [M: $i] :
( ( ( member @ M @ E )
& ( lower_bound @ M @ R @ X ) )
=> ( apply @ R @ M @ A ) ) ) ) ).
thf(zip_derived_cl98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( lower_bound @ X0 @ X1 @ X2 )
| ~ ( greatest_lower_bound @ X0 @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[greatest_lower_bound]) ).
thf(zip_derived_cl751,plain,
lower_bound @ sk__24 @ sk__19 @ sk__22,
inference('dp-resolution',[status(thm)],[zip_derived_cl108,zip_derived_cl98]) ).
thf(lower_bound,axiom,
! [R: $i,E: $i,M: $i] :
( ( lower_bound @ M @ R @ E )
<=> ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ M @ X ) ) ) ).
thf(zip_derived_cl70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X0 @ X1 )
| ( apply @ X2 @ X3 @ X0 )
| ~ ( lower_bound @ X3 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[lower_bound]) ).
thf(zip_derived_cl823,plain,
! [X0: $i] :
( ( apply @ sk__19 @ sk__24 @ X0 )
| ~ ( member @ X0 @ sk__22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl751,zip_derived_cl70]) ).
thf(zip_derived_cl109,plain,
~ ( apply @ sk__19 @ sk__24 @ sk__23 ),
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,
greatest_lower_bound @ sk__23 @ sk__21 @ sk__19 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( member @ X0 @ X1 )
| ~ ( greatest_lower_bound @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[greatest_lower_bound]) ).
thf(zip_derived_cl747,plain,
member @ sk__23 @ sk__21,
inference('dp-resolution',[status(thm)],[zip_derived_cl107,zip_derived_cl97]) ).
thf(zip_derived_cl828,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl827,zip_derived_cl747]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET800+4 : TPTP v9.2.0. Released v3.2.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8mHsU3w5aD true
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 12:59:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.51/0.63 % Total configuration time : 435
% 0.51/0.63 % Estimated wc time : 1092
% 0.51/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.84 % Solved by fo/fo3_bce.sh.
% 0.52/0.84 % BCE start: 110
% 0.52/0.84 % BCE eliminated: 0
% 0.52/0.84 % PE start: 110
% 0.52/0.84 logic: eq
% 0.52/0.84 % PE eliminated: 13
% 0.52/0.84 % done 46 iterations in 0.084s
% 0.52/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/0.84 % SZS output start Refutation
% See solution above
% 0.52/0.84
% 0.52/0.84
% 0.52/0.84 % Terminating...
% 1.91/0.94 % Runner terminated.
% 1.91/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------