%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU621^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rc7toyTyBy true
% Computer : n009.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 04:55:24 PM UTC 2025
% Result : Theorem 0.53s 0.84s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 53 ( 10 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 141 ( 7 ~; 7 |; 0 &; 106 @)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 38 ( 0 ^; 38 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(subsetI2_type,type,
subsetI2: $o ).
thf(uniqinunit_type,type,
uniqinunit: $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(subsetI2,axiom,
( subsetI2
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('0',plain,
( subsetI2
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(uniqinunit,axiom,
( uniqinunit
= ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( Xx = Xy ) ) ) ) ).
thf('1',plain,
( uniqinunit
= ( ! [X4: $i,X6: $i] :
( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
=> ( X4 = X6 ) ) ) ),
define([status(thm)]) ).
thf(singletonsubset,conjecture,
( uniqinunit
=> ( subsetI2
=> ! [A: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( subset @ ( setadjoin @ Xx @ emptyset ) @ A ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
=> ( X4 = X6 ) )
=> ( ! [X8: $i,X10: $i] :
( ! [X12: $i] :
( ( in @ X12 @ X8 )
=> ( in @ X12 @ X10 ) )
=> ( subset @ X8 @ X10 ) )
=> ! [X14: $i,X16: $i] :
( ( in @ X16 @ X14 )
=> ( subset @ ( setadjoin @ X16 @ emptyset ) @ X14 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
=> ( X4 = X6 ) )
=> ( ! [X8: $i,X10: $i] :
( ! [X12: $i] :
( ( in @ X12 @ X8 )
=> ( in @ X12 @ X10 ) )
=> ( subset @ X8 @ X10 ) )
=> ! [X14: $i,X16: $i] :
( ( in @ X16 @ X14 )
=> ( subset @ ( setadjoin @ X16 @ emptyset ) @ X14 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( in @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X2: $i,X3: $i] :
( ( subset @ X2 @ X3 )
| ( in @ ( sk__5 @ X3 @ X2 ) @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( ( sk__5 @ X1 @ ( setadjoin @ X0 @ emptyset ) )
= X0 )
| ( subset @ ( setadjoin @ X0 @ emptyset ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).
thf(zip_derived_cl3,plain,
! [X2: $i,X3: $i] :
( ( subset @ X2 @ X3 )
| ~ ( in @ ( sk__5 @ X3 @ X2 ) @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( subset @ ( setadjoin @ X0 @ emptyset ) @ X1 )
| ( subset @ ( setadjoin @ X0 @ emptyset ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl3]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( setadjoin @ X0 @ emptyset ) @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl1,plain,
~ ( subset @ ( setadjoin @ sk__7 @ emptyset ) @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl25,plain,
~ ( in @ sk__7 @ sk__6 ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl1]) ).
thf(zip_derived_cl2,plain,
in @ sk__7 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl27,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.15 % Problem : SEU621^2 : TPTP v9.2.0. Released v3.7.0.
% 0.06/0.17 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rc7toyTyBy true
% 0.12/0.39 % Computer : n009.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8042.1875MB
% 0.12/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Wed Oct 1 16:12:38 EDT 2025
% 0.12/0.39 % CPUTime :
% 0.12/0.39 % Running portfolio for 300 s
% 0.12/0.39 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.39 % Number of cores: 8
% 0.12/0.39 % Python version: Python 3.6.8
% 0.12/0.39 % Running in HO mode
% 0.52/0.72 % Total configuration time : 828
% 0.52/0.72 % Estimated wc time : 1656
% 0.52/0.72 % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.80 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.84 % Solved by lams/40_c.s.sh.
% 0.53/0.84 % done 11 iterations in 0.018s
% 0.53/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.84 % SZS output start Refutation
% See solution above
% 0.53/0.84
% 0.53/0.84
% 0.53/0.84 % Terminating...
% 0.58/0.92 % Runner terminated.
% 1.55/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------