%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM548+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.X4n6He4gPm true
% Computer : n016.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 04:47:24 PM UTC 2025
% Result : Theorem 1.28s 1.00s
% Output : Refutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 74 ( 12 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 193 ( 31 ~; 26 |; 6 &; 122 @)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 29 ( 0 ^; 29 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xk_type,type,
xk: $i ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(xT_type,type,
xT: $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(isFinite0_type,type,
isFinite0: $i > $o ).
thf(xQ_type,type,
xQ: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(xS_type,type,
xS: $i ).
thf(mCardNum,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ( ( aElementOf0 @ ( sbrdtbr0 @ W0 ) @ szNzAzT0 )
<=> ( isFinite0 @ W0 ) ) ) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ ( sbrdtbr0 @ X0 ) @ szNzAzT0 )
| ( isFinite0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mCardNum]) ).
thf(m__,conjecture,
isFinite0 @ xQ ).
thf(zf_stmt_0,negated_conjecture,
~ ( isFinite0 @ xQ ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl118,plain,
~ ( isFinite0 @ xQ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl171,plain,
( ~ ( aSet0 @ xQ )
| ~ ( aElementOf0 @ ( sbrdtbr0 @ xQ ) @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl118]) ).
thf(m__2270,axiom,
aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xS @ xk ) ).
thf(zip_derived_cl117,plain,
aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xS @ xk ),
inference(cnf,[status(esa)],[m__2270]) ).
thf(m__2202,axiom,
aElementOf0 @ xk @ szNzAzT0 ).
thf(zip_derived_cl110,plain,
aElementOf0 @ xk @ szNzAzT0,
inference(cnf,[status(esa)],[m__2202]) ).
thf(mDefSel,axiom,
! [W0: $i,W1: $i] :
( ( ( aSet0 @ W0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ! [W2: $i] :
( ( W2
= ( slbdtsldtrb0 @ W0 @ W1 ) )
<=> ( ( aSet0 @ W2 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
<=> ( ( aSubsetOf0 @ W3 @ W0 )
& ( ( sbrdtbr0 @ W3 )
= W1 ) ) ) ) ) ) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aElementOf0 @ X2 @ X3 )
| ( aSubsetOf0 @ X2 @ X0 )
| ( X3
!= ( slbdtsldtrb0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mDefSel]) ).
thf(zip_derived_cl816,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( slbdtsldtrb0 @ X1 @ xk ) )
| ( aSubsetOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl102]) ).
thf(zip_derived_cl822,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ X1 @ ( slbdtsldtrb0 @ X0 @ xk ) )
| ( aSubsetOf0 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl816]) ).
thf(zip_derived_cl823,plain,
( ( aSubsetOf0 @ xQ @ xS )
| ~ ( aSet0 @ xS ) ),
inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl822]) ).
thf(m__2202_02,axiom,
( ( xk != sz00 )
& ( aSet0 @ xT )
& ( aSet0 @ xS ) ) ).
thf(zip_derived_cl113,plain,
aSet0 @ xS,
inference(cnf,[status(esa)],[m__2202_02]) ).
thf(zip_derived_cl825,plain,
aSubsetOf0 @ xQ @ xS,
inference(demod,[status(thm)],[zip_derived_cl823,zip_derived_cl113]) ).
thf(mDefSub,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aSubsetOf0 @ W1 @ W0 )
<=> ( ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl829,plain,
( ~ ( aSet0 @ xS )
| ( aSet0 @ xQ ) ),
inference('sup-',[status(thm)],[zip_derived_cl825,zip_derived_cl14]) ).
thf(zip_derived_cl113_001,plain,
aSet0 @ xS,
inference(cnf,[status(esa)],[m__2202_02]) ).
thf(zip_derived_cl833,plain,
aSet0 @ xQ,
inference(demod,[status(thm)],[zip_derived_cl829,zip_derived_cl113]) ).
thf(zip_derived_cl875,plain,
~ ( aElementOf0 @ ( sbrdtbr0 @ xQ ) @ szNzAzT0 ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl833]) ).
thf(zip_derived_cl117_002,plain,
aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xS @ xk ),
inference(cnf,[status(esa)],[m__2270]) ).
thf(zip_derived_cl110_003,plain,
aElementOf0 @ xk @ szNzAzT0,
inference(cnf,[status(esa)],[m__2202]) ).
thf(zip_derived_cl101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aElementOf0 @ X2 @ X3 )
| ( ( sbrdtbr0 @ X2 )
= X1 )
| ( X3
!= ( slbdtsldtrb0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mDefSel]) ).
thf(zip_derived_cl1010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( slbdtsldtrb0 @ X1 @ xk ) )
| ( ( sbrdtbr0 @ X2 )
= xk )
| ~ ( aElementOf0 @ X2 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl101]) ).
thf(zip_derived_cl1016,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ X1 @ ( slbdtsldtrb0 @ X0 @ xk ) )
| ( ( sbrdtbr0 @ X1 )
= xk ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1010]) ).
thf(zip_derived_cl1017,plain,
( ( ( sbrdtbr0 @ xQ )
= xk )
| ~ ( aSet0 @ xS ) ),
inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl1016]) ).
thf(zip_derived_cl113_004,plain,
aSet0 @ xS,
inference(cnf,[status(esa)],[m__2202_02]) ).
thf(zip_derived_cl1019,plain,
( ( sbrdtbr0 @ xQ )
= xk ),
inference(demod,[status(thm)],[zip_derived_cl1017,zip_derived_cl113]) ).
thf(zip_derived_cl110_005,plain,
aElementOf0 @ xk @ szNzAzT0,
inference(cnf,[status(esa)],[m__2202]) ).
thf(zip_derived_cl1020,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl875,zip_derived_cl1019,zip_derived_cl110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM548+1 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.X4n6He4gPm true
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 16:34:23 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.52/0.61 % Total configuration time : 435
% 0.52/0.61 % Estimated wc time : 1092
% 0.52/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.71/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.71/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.71/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.71/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.24/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.24/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.24/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.28/1.00 % Solved by fo/fo7.sh.
% 1.28/1.00 % done 397 iterations in 0.258s
% 1.28/1.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.28/1.00 % SZS output start Refutation
% See solution above
% 1.28/1.01
% 1.28/1.01
% 1.28/1.01 % Terminating...
% 1.58/1.17 % Runner terminated.
% 1.72/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------