%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM531+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.raeZzyjT1U true
% Computer : n003.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 04:47:20 PM UTC 2025
% Result : Theorem 0.60s 0.78s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 9 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 16 ~; 6 |; 4 &; 20 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 0 ^; 6 !; 1 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(isFinite0_type,type,
isFinite0: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(slcrc0_type,type,
slcrc0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(m__,conjecture,
! [W0: $i] :
( ( ( aSet0 @ W0 )
& ( isCountable0 @ W0 ) )
=> ( W0 != slcrc0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [W0: $i] :
( ( ( aSet0 @ W0 )
& ( isCountable0 @ W0 ) )
=> ( W0 != slcrc0 ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl12,plain,
sk__1 = slcrc0,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl11,plain,
isCountable0 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mEmpFin,axiom,
isFinite0 @ slcrc0 ).
thf(zip_derived_cl7,plain,
isFinite0 @ slcrc0,
inference(cnf,[status(esa)],[mEmpFin]) ).
thf(mCountNFin,axiom,
! [W0: $i] :
( ( ( aSet0 @ W0 )
& ( isCountable0 @ W0 ) )
=> ~ ( isFinite0 @ W0 ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ~ ( isFinite0 @ X0 )
| ~ ( isCountable0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mCountNFin]) ).
thf(zip_derived_cl29,plain,
( ~ ( aSet0 @ slcrc0 )
| ~ ( isCountable0 @ slcrc0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl9]) ).
thf(zip_derived_cl32,plain,
( ( sk__1 != slcrc0 )
| ~ ( aSet0 @ slcrc0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl29]) ).
thf(zip_derived_cl33,plain,
( ( slcrc0 != slcrc0 )
| ( sk__1 != slcrc0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl32]) ).
thf(zip_derived_cl37,plain,
sk__1 != slcrc0,
inference(simplify,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl38,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12,zip_derived_cl37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM531+1 : TPTP v9.2.0. Released v4.0.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.raeZzyjT1U true
% 0.16/0.37 % Computer : n003.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Oct 1 16:41:38 EDT 2025
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.38 % Python version: Python 3.6.8
% 0.16/0.38 % Running in FO mode
% 0.56/0.69 % Total configuration time : 435
% 0.56/0.69 % Estimated wc time : 1092
% 0.56/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.78 % Solved by fo/fo6_bce.sh.
% 0.60/0.78 % BCE start: 13
% 0.60/0.78 % BCE eliminated: 3
% 0.60/0.78 % PE start: 10
% 0.60/0.78 logic: eq
% 0.60/0.78 % PE eliminated: 3
% 0.60/0.78 % done 5 iterations in 0.005s
% 0.60/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.60/0.78 % SZS output start Refutation
% See solution above
% 0.60/0.78
% 0.60/0.78
% 0.60/0.78 % Terminating...
% 0.65/0.89 % Runner terminated.
% 1.60/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------