%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU560^2 : 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.qrXzi2Kk2V true
% Computer : n013.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 04:55:04 PM UTC 2025
% Result : Theorem 0.58s 0.78s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 44 ( 9 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 79 ( 2 ~; 0 |; 0 &; 56 @)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 31 ( 6 ^; 25 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__4_type,type,
sk__4: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(subsetI1_type,type,
subsetI1: $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(subsetI1,axiom,
( subsetI1
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('0',plain,
( subsetI1
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(subset,axiom,
( subset
= ( ^ [A: $i,B: $i] :
! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) ) ).
thf('1',plain,
( subset
= ( ^ [A: $i,B: $i] :
! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[subset]) ).
thf('2',plain,
( subset
= ( ^ [V_1: $i,V_2: $i] :
! [X4: $i] :
( ( in @ X4 @ V_1 )
=> ( in @ X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(eqimpsubset2,conjecture,
( subsetI1
=> ! [A: $i,B: $i] :
( ( A = B )
=> ( subset @ B @ A ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( in @ X10 @ X6 ) ) )
=> ! [X12: $i,X14: $i] :
( ( X12 = X14 )
=> ! [X16: $i] :
( ( in @ X16 @ X14 )
=> ( in @ X16 @ X12 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( in @ X10 @ X6 ) ) )
=> ! [X12: $i,X14: $i] :
( ( X12 = X14 )
=> ! [X16: $i] :
( ( in @ X16 @ X14 )
=> ( in @ X16 @ X12 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
~ ( in @ sk__6 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
in @ sk__6 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
sk__4 = sk__5,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
in @ sk__6 @ sk__4,
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU560^2 : TPTP v9.2.0. Released v3.7.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qrXzi2Kk2V true
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 16:14:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.57/0.70 % Total configuration time : 828
% 0.57/0.70 % Estimated wc time : 1656
% 0.57/0.70 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.78 % Solved by lams/40_c.s.sh.
% 0.58/0.78 % done 2 iterations in 0.008s
% 0.58/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.78 % SZS output start Refutation
% See solution above
% 0.58/0.78
% 0.58/0.78
% 0.58/0.78 % Terminating...
% 0.64/0.91 % Runner terminated.
% 1.66/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------