%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM549+3 : 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.ihu88EK3cS true
% Computer : n014.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 0.50s 0.80s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 82 ( 25 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 169 ( 26 ~; 27 |; 10 &; 97 @)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 21 !; 3 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(sz00_type,type,
sz00: $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(xQ_type,type,
xQ: $i ).
thf(xk_type,type,
xk: $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(xT_type,type,
xT: $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(slcrc0_type,type,
slcrc0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(xS_type,type,
xS: $i ).
thf(mCardEmpty,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ( ( ( sbrdtbr0 @ W0 )
= sz00 )
<=> ( W0 = slcrc0 ) ) ) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( ( X0 != slcrc0 )
| ( ( sbrdtbr0 @ X0 )
= sz00 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mCardEmpty]) ).
thf(mDefEmp,axiom,
! [W0: $i] :
( ( W0 = slcrc0 )
<=> ( ( aSet0 @ W0 )
& ~ ? [W1: $i] : ( aElementOf0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( aSet0 @ X0 )
| ( X0 != slcrc0 ) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
thf(zip_derived_cl1137,plain,
! [X0: $i] :
( ( ( sbrdtbr0 @ X0 )
= sz00 )
| ( X0 != slcrc0 ) ),
inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl4]) ).
thf(m__2270,axiom,
( ( aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xS @ xk ) )
& ( ( sbrdtbr0 @ xQ )
= xk )
& ( aSubsetOf0 @ xQ @ xS )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xQ )
=> ( aElementOf0 @ W0 @ xS ) )
& ( aSet0 @ xQ ) ) ).
thf(zip_derived_cl145,plain,
( ( sbrdtbr0 @ xQ )
= xk ),
inference(cnf,[status(esa)],[m__2270]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( aElementOf0 @ ( sk_ @ X0 ) @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
thf(zip_derived_cl144,plain,
aSubsetOf0 @ xQ @ xS,
inference(cnf,[status(esa)],[m__2270]) ).
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_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl1066,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xS )
| ~ ( aElementOf0 @ X0 @ xQ )
| ~ ( aSet0 @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl13]) ).
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_cl1068,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xS )
| ~ ( aElementOf0 @ X0 @ xQ ) ),
inference(demod,[status(thm)],[zip_derived_cl1066,zip_derived_cl113]) ).
thf(zip_derived_cl1072,plain,
( ~ ( aSet0 @ xQ )
| ( xQ = slcrc0 )
| ( aElementOf0 @ ( sk_ @ xQ ) @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1068]) ).
thf(zip_derived_cl142,plain,
aSet0 @ xQ,
inference(cnf,[status(esa)],[m__2270]) ).
thf(zip_derived_cl1074,plain,
( ( xQ = slcrc0 )
| ( aElementOf0 @ ( sk_ @ xQ ) @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl1072,zip_derived_cl142]) ).
thf(mEOfElem,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElement0 @ W1 ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElement0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
thf(zip_derived_cl1083,plain,
( ( xQ = slcrc0 )
| ( aElement0 @ ( sk_ @ xQ ) )
| ~ ( aSet0 @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1074,zip_derived_cl2]) ).
thf(zip_derived_cl113_001,plain,
aSet0 @ xS,
inference(cnf,[status(esa)],[m__2202_02]) ).
thf(zip_derived_cl1084,plain,
( ( xQ = slcrc0 )
| ( aElement0 @ ( sk_ @ xQ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1083,zip_derived_cl113]) ).
thf(zip_derived_cl6_002,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( aElementOf0 @ ( sk_ @ X0 ) @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
thf(m__,conjecture,
? [W0: $i] :
( ( aElementOf0 @ W0 @ xQ )
& ( aElement0 @ W0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [W0: $i] :
( ( aElementOf0 @ W0 @ xQ )
& ( aElement0 @ W0 ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl150,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xQ )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1050,plain,
( ~ ( aSet0 @ xQ )
| ( xQ = slcrc0 )
| ~ ( aElement0 @ ( sk_ @ xQ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl150]) ).
thf(zip_derived_cl142_003,plain,
aSet0 @ xQ,
inference(cnf,[status(esa)],[m__2270]) ).
thf(zip_derived_cl1051,plain,
( ( xQ = slcrc0 )
| ~ ( aElement0 @ ( sk_ @ xQ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1050,zip_derived_cl142]) ).
thf(zip_derived_cl1085,plain,
xQ = slcrc0,
inference(clc,[status(thm)],[zip_derived_cl1084,zip_derived_cl1051]) ).
thf(zip_derived_cl1088,plain,
( ( sbrdtbr0 @ slcrc0 )
= xk ),
inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl1085]) ).
thf(zip_derived_cl1140,plain,
( ( slcrc0 != slcrc0 )
| ( sz00 = xk ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1137,zip_derived_cl1088]) ).
thf(zip_derived_cl1142,plain,
sz00 = xk,
inference(simplify,[status(thm)],[zip_derived_cl1140]) ).
thf(zip_derived_cl111,plain,
xk != sz00,
inference(cnf,[status(esa)],[m__2202_02]) ).
thf(zip_derived_cl1143,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1142,zip_derived_cl111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM549+3 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ihu88EK3cS true
% 0.13/0.36 % Computer : n014.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 16:26:38 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.48/0.61 % Total configuration time : 435
% 0.48/0.61 % Estimated wc time : 1092
% 0.48/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.50/0.80 % Solved by fo/fo6_bce.sh.
% 0.50/0.80 % BCE start: 151
% 0.50/0.80 % BCE eliminated: 1
% 0.50/0.80 % PE start: 150
% 0.50/0.80 logic: eq
% 0.50/0.80 % PE eliminated: 0
% 0.50/0.80 % done 87 iterations in 0.098s
% 0.50/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.80 % SZS output start Refutation
% See solution above
% 0.50/0.80
% 0.50/0.80
% 0.50/0.80 % Terminating...
% 0.55/0.92 % Runner terminated.
% 0.55/0.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------