%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU658^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Fidp03Ti33 true
% Computer : n025.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 04:55:36 PM UTC 2025
% Result : Theorem 0.52s 0.86s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 52 ( 15 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 168 ( 8 ~; 6 |; 8 &; 133 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 54 ( 0 ^; 46 !; 8 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__10_type,type,
sk__10: $i > $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(ksnd_type,type,
ksnd: $i > $i ).
thf(cartprodmempair1_type,type,
cartprodmempair1: $o ).
thf(sk__11_type,type,
sk__11: $i > $i > $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(ksndpairEq_type,type,
ksndpairEq: $o ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(ksndpairEq,axiom,
( ksndpairEq
= ( ! [Xx: $i,Xy: $i] :
( ( ksnd @ ( kpair @ Xx @ Xy ) )
= Xy ) ) ) ).
thf('0',plain,
( ksndpairEq
= ( ! [X4: $i,X6: $i] :
( ( ksnd @ ( kpair @ X4 @ X6 ) )
= X6 ) ) ),
define([status(thm)]) ).
thf(cartprodmempair1,axiom,
( cartprodmempair1
= ( ! [A: $i,B: $i,Xu: $i] :
( ( in @ Xu @ ( cartprod @ A @ B ) )
=> ? [Xx: $i] :
( ? [Xy: $i] :
( ( Xu
= ( kpair @ Xx @ Xy ) )
& ( in @ Xy @ B ) )
& ( in @ Xx @ A ) ) ) ) ) ).
thf('1',plain,
( cartprodmempair1
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( cartprod @ X4 @ X6 ) )
=> ? [X10: $i] :
( ? [X12: $i] :
( ( X8
= ( kpair @ X10 @ X12 ) )
& ( in @ X12 @ X6 ) )
& ( in @ X10 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(cartprodsndin,conjecture,
( cartprodmempair1
=> ( ksndpairEq
=> ! [A: $i,B: $i,Xu: $i] :
( ( in @ Xu @ ( cartprod @ A @ B ) )
=> ( in @ ( ksnd @ Xu ) @ B ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( cartprod @ X4 @ X6 ) )
=> ? [X10: $i] :
( ? [X12: $i] :
( ( X8
= ( kpair @ X10 @ X12 ) )
& ( in @ X12 @ X6 ) )
& ( in @ X10 @ X4 ) ) )
=> ( ! [X14: $i,X16: $i] :
( ( ksnd @ ( kpair @ X14 @ X16 ) )
= X16 )
=> ! [X18: $i,X20: $i,X22: $i] :
( ( in @ X22 @ ( cartprod @ X18 @ X20 ) )
=> ( in @ ( ksnd @ X22 ) @ X20 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( cartprod @ X4 @ X6 ) )
=> ? [X10: $i] :
( ? [X12: $i] :
( ( X8
= ( kpair @ X10 @ X12 ) )
& ( in @ X12 @ X6 ) )
& ( in @ X10 @ X4 ) ) )
=> ( ! [X14: $i,X16: $i] :
( ( ksnd @ ( kpair @ X14 @ X16 ) )
= X16 )
=> ! [X18: $i,X20: $i,X22: $i] :
( ( in @ X22 @ ( cartprod @ X18 @ X20 ) )
=> ( in @ ( ksnd @ X22 ) @ X20 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
~ ( in @ ( ksnd @ sk__9 ) @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
in @ sk__9 @ ( cartprod @ sk__7 @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
= ( kpair @ ( sk__10 @ X0 @ X1 @ X2 ) @ ( sk__11 @ X0 @ X1 @ X2 ) ) )
| ~ ( in @ X0 @ ( cartprod @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X3: $i,X4: $i] :
( ( ksnd @ ( kpair @ X4 @ X3 ) )
= X3 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( ksnd @ X0 )
= ( sk__11 @ X0 @ X2 @ X1 ) )
| ~ ( in @ X0 @ ( cartprod @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( sk__11 @ X0 @ X1 @ X2 ) @ X1 )
| ~ ( in @ X0 @ ( cartprod @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( ksnd @ X0 ) @ X1 )
| ~ ( in @ X0 @ ( cartprod @ X2 @ X1 ) )
| ~ ( in @ X0 @ ( cartprod @ X2 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( cartprod @ X2 @ X1 ) )
| ( in @ ( ksnd @ X0 ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl18,plain,
in @ ( ksnd @ sk__9 ) @ sk__8,
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl13]) ).
thf(zip_derived_cl22,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SEU658^2 : TPTP v9.2.0. Released v3.7.0.
% 0.08/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Fidp03Ti33 true
% 0.10/0.32 % Computer : n025.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 16:01:53 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.33 % Running in HO mode
% 0.51/0.66 % Total configuration time : 828
% 0.51/0.66 % Estimated wc time : 1656
% 0.51/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.82 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/0.85 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.86 % Solved by lams/40_c.s.sh.
% 0.52/0.86 % done 8 iterations in 0.019s
% 0.52/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/0.86 % SZS output start Refutation
% See solution above
% 0.52/0.86
% 0.52/0.86
% 0.52/0.86 % Terminating...
% 0.58/0.98 % Runner terminated.
% 0.58/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------