%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU768^2 : 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.1Y1o8JxeUI true
% Computer : n024.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 04:56:14 PM UTC 2025
% Result : Theorem 4.36s 1.44s
% Output : Refutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 130 ( 8 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 559 ( 35 ~; 36 |; 0 &; 443 @)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 5 con; 0-4 aty)
% Number of variables : 95 ( 15 ^; 80 !; 0 ?; 95 :)
% Comments :
%------------------------------------------------------------------------------
thf(breln_type,type,
breln: $i > $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(brelnall2_type,type,
brelnall2: $o ).
thf(breln1_type,type,
breln1: $i > $i > $o ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__11_type,type,
sk__11: ( $i > $o ) > $i > $i > $i > $i ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(sk__12_type,type,
sk__12: ( $i > $o ) > $i > $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i > $o ).
thf(breln1,axiom,
( breln1
= ( ^ [A: $i,R: $i] : ( breln @ A @ A @ R ) ) ) ).
thf(breln,axiom,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ) ).
thf('0',plain,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln]) ).
thf('1',plain,
( breln
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( subset @ V_3 @ ( cartprod @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf('2',plain,
( breln1
= ( ^ [A: $i,R: $i] : ( breln @ A @ A @ R ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln1,'1']) ).
thf('3',plain,
( breln1
= ( ^ [V_1: $i,V_2: $i] : ( breln @ V_1 @ V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf(brelnall2,axiom,
( brelnall2
= ( ! [A: $i,B: $i,R: $i] :
( ( breln @ A @ B @ R )
=> ! [Xphi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ R )
=> ( Xphi @ ( kpair @ Xx @ Xy ) ) ) ) )
=> ! [Xx: $i] :
( ( in @ Xx @ R )
=> ( Xphi @ Xx ) ) ) ) ) ) ).
thf('4',plain,
( brelnall2
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( breln @ X4 @ X6 @ X8 )
=> ! [X10: $i > $o] :
( ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ! [X14: $i] :
( ( in @ X14 @ X6 )
=> ( ( in @ ( kpair @ X12 @ X14 ) @ X8 )
=> ( X10 @ ( kpair @ X12 @ X14 ) ) ) ) )
=> ! [X16: $i] :
( ( in @ X16 @ X8 )
=> ( X10 @ X16 ) ) ) ) ) ),
define([status(thm)]) ).
thf(breln1all2,conjecture,
( brelnall2
=> ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [Xphi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ R )
=> ( Xphi @ ( kpair @ Xx @ Xy ) ) ) ) )
=> ! [Xx: $i] :
( ( in @ Xx @ R )
=> ( Xphi @ Xx ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X8 @ ( cartprod @ X4 @ X6 ) )
=> ! [X10: $i > $o] :
( ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ! [X14: $i] :
( ( in @ X14 @ X6 )
=> ( ( in @ ( kpair @ X12 @ X14 ) @ X8 )
=> ( X10 @ ( kpair @ X12 @ X14 ) ) ) ) )
=> ! [X16: $i] :
( ( in @ X16 @ X8 )
=> ( X10 @ X16 ) ) ) )
=> ! [X18: $i,X20: $i] :
( ( subset @ X20 @ ( cartprod @ X18 @ X18 ) )
=> ! [X22: $i > $o] :
( ! [X24: $i] :
( ( in @ X24 @ X18 )
=> ! [X26: $i] :
( ( in @ X26 @ X18 )
=> ( ( in @ ( kpair @ X24 @ X26 ) @ X20 )
=> ( X22 @ ( kpair @ X24 @ X26 ) ) ) ) )
=> ! [X28: $i] :
( ( in @ X28 @ X20 )
=> ( X22 @ X28 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X8 @ ( cartprod @ X4 @ X6 ) )
=> ! [X10: $i > $o] :
( ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ! [X14: $i] :
( ( in @ X14 @ X6 )
=> ( ( in @ ( kpair @ X12 @ X14 ) @ X8 )
=> ( X10 @ ( kpair @ X12 @ X14 ) ) ) ) )
=> ! [X16: $i] :
( ( in @ X16 @ X8 )
=> ( X10 @ X16 ) ) ) )
=> ! [X18: $i,X20: $i] :
( ( subset @ X20 @ ( cartprod @ X18 @ X18 ) )
=> ! [X22: $i > $o] :
( ! [X24: $i] :
( ( in @ X24 @ X18 )
=> ! [X26: $i] :
( ( in @ X26 @ X18 )
=> ( ( in @ ( kpair @ X24 @ X26 ) @ X20 )
=> ( X22 @ ( kpair @ X24 @ X26 ) ) ) ) )
=> ! [X28: $i] :
( ( in @ X28 @ X20 )
=> ( X22 @ X28 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
~ ( sk__9 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
in @ sk__10 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
subset @ sk__8 @ ( cartprod @ sk__7 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X0: $i > $o,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( in @ ( kpair @ ( sk__11 @ X0 @ X1 @ X2 @ X3 ) @ ( sk__12 @ X0 @ X1 @ X2 @ X3 ) ) @ X1 )
| ( X0 @ X4 )
| ~ ( in @ X4 @ X1 )
| ~ ( subset @ X1 @ ( cartprod @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl172,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( in @ X0 @ sk__8 )
| ( X1 @ X0 )
| ( in @ ( kpair @ ( sk__11 @ X1 @ sk__8 @ sk__7 @ sk__7 ) @ ( sk__12 @ X1 @ sk__8 @ sk__7 @ sk__7 ) ) @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl2]) ).
thf(zip_derived_cl194,plain,
! [X0: $i > $o] :
( ( in @ ( kpair @ ( sk__11 @ X0 @ sk__8 @ sk__7 @ sk__7 ) @ ( sk__12 @ X0 @ sk__8 @ sk__7 @ sk__7 ) ) @ sk__8 )
| ( X0 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl172]) ).
thf(zip_derived_cl6_001,plain,
in @ sk__10 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7_002,plain,
subset @ sk__8 @ ( cartprod @ sk__7 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $o,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( in @ ( sk__12 @ X0 @ X1 @ X2 @ X3 ) @ X2 )
| ( X0 @ X4 )
| ~ ( in @ X4 @ X1 )
| ~ ( subset @ X1 @ ( cartprod @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( in @ X0 @ sk__8 )
| ( X1 @ X0 )
| ( in @ ( sk__12 @ X1 @ sk__8 @ sk__7 @ sk__7 ) @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).
thf(zip_derived_cl10,plain,
! [X0: $i > $o] :
( ( in @ ( sk__12 @ X0 @ sk__8 @ sk__7 @ sk__7 ) @ sk__7 )
| ( X0 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl8]) ).
thf(zip_derived_cl6_003,plain,
in @ sk__10 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7_004,plain,
subset @ sk__8 @ ( cartprod @ sk__7 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i > $o,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( in @ ( sk__11 @ X0 @ X1 @ X2 @ X3 ) @ X3 )
| ( X0 @ X4 )
| ~ ( in @ X4 @ X1 )
| ~ ( subset @ X1 @ ( cartprod @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( in @ X0 @ sk__8 )
| ( X1 @ X0 )
| ( in @ ( sk__11 @ X1 @ sk__8 @ sk__7 @ sk__7 ) @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl3]) ).
thf(zip_derived_cl21,plain,
! [X0: $i > $o] :
( ( in @ ( sk__11 @ X0 @ sk__8 @ sk__7 @ sk__7 ) @ sk__7 )
| ( X0 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl19]) ).
thf(zip_derived_cl4,plain,
! [X5: $i,X6: $i] :
( ~ ( in @ X5 @ sk__7 )
| ( sk__9 @ ( kpair @ X6 @ X5 ) )
| ~ ( in @ ( kpair @ X6 @ X5 ) @ sk__8 )
| ~ ( in @ X6 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7_005,plain,
subset @ sk__8 @ ( cartprod @ sk__7 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i > $o,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( X0 @ ( kpair @ ( sk__11 @ X0 @ X1 @ X2 @ X3 ) @ ( sk__12 @ X0 @ X1 @ X2 @ X3 ) ) )
| ( X0 @ X4 )
| ~ ( in @ X4 @ X1 )
| ~ ( subset @ X1 @ ( cartprod @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( in @ X0 @ sk__8 )
| ( X1 @ X0 )
| ~ ( X1 @ ( kpair @ ( sk__11 @ X1 @ sk__8 @ sk__7 @ sk__7 ) @ ( sk__12 @ X1 @ sk__8 @ sk__7 @ sk__7 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl1]) ).
thf(zip_derived_cl6_006,plain,
in @ sk__10 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl45,plain,
! [X0: $i > $o] :
( ~ ( X0 @ ( kpair @ ( sk__11 @ X0 @ sk__8 @ sk__7 @ sk__7 ) @ ( sk__12 @ X0 @ sk__8 @ sk__7 @ sk__7 ) ) )
| ( X0 @ sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl6]) ).
thf(zip_derived_cl270,plain,
( ~ ( in @ ( sk__11 @ sk__9 @ sk__8 @ sk__7 @ sk__7 ) @ sk__7 )
| ~ ( in @ ( kpair @ ( sk__11 @ sk__9 @ sk__8 @ sk__7 @ sk__7 ) @ ( sk__12 @ sk__9 @ sk__8 @ sk__7 @ sk__7 ) ) @ sk__8 )
| ~ ( in @ ( sk__12 @ sk__9 @ sk__8 @ sk__7 @ sk__7 ) @ sk__7 )
| ( sk__9 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl45]) ).
thf(zip_derived_cl5_007,plain,
~ ( sk__9 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl292,plain,
( ~ ( in @ ( sk__11 @ sk__9 @ sk__8 @ sk__7 @ sk__7 ) @ sk__7 )
| ~ ( in @ ( kpair @ ( sk__11 @ sk__9 @ sk__8 @ sk__7 @ sk__7 ) @ ( sk__12 @ sk__9 @ sk__8 @ sk__7 @ sk__7 ) ) @ sk__8 )
| ~ ( in @ ( sk__12 @ sk__9 @ sk__8 @ sk__7 @ sk__7 ) @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl270,zip_derived_cl5]) ).
thf(zip_derived_cl371,plain,
( ( sk__9 @ sk__10 )
| ~ ( in @ ( sk__12 @ sk__9 @ sk__8 @ sk__7 @ sk__7 ) @ sk__7 )
| ~ ( in @ ( kpair @ ( sk__11 @ sk__9 @ sk__8 @ sk__7 @ sk__7 ) @ ( sk__12 @ sk__9 @ sk__8 @ sk__7 @ sk__7 ) ) @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl292]) ).
thf(zip_derived_cl5_008,plain,
~ ( sk__9 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl377,plain,
( ~ ( in @ ( sk__12 @ sk__9 @ sk__8 @ sk__7 @ sk__7 ) @ sk__7 )
| ~ ( in @ ( kpair @ ( sk__11 @ sk__9 @ sk__8 @ sk__7 @ sk__7 ) @ ( sk__12 @ sk__9 @ sk__8 @ sk__7 @ sk__7 ) ) @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl371,zip_derived_cl5]) ).
thf(zip_derived_cl452,plain,
( ( sk__9 @ sk__10 )
| ~ ( in @ ( kpair @ ( sk__11 @ sk__9 @ sk__8 @ sk__7 @ sk__7 ) @ ( sk__12 @ sk__9 @ sk__8 @ sk__7 @ sk__7 ) ) @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl377]) ).
thf(zip_derived_cl5_009,plain,
~ ( sk__9 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl454,plain,
~ ( in @ ( kpair @ ( sk__11 @ sk__9 @ sk__8 @ sk__7 @ sk__7 ) @ ( sk__12 @ sk__9 @ sk__8 @ sk__7 @ sk__7 ) ) @ sk__8 ),
inference(demod,[status(thm)],[zip_derived_cl452,zip_derived_cl5]) ).
thf(zip_derived_cl456,plain,
sk__9 @ sk__10,
inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl454]) ).
thf(zip_derived_cl458,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl456]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.16 % Problem : SEU768^2 : TPTP v9.2.0. Released v3.7.0.
% 0.02/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1Y1o8JxeUI true
% 0.10/0.36 % Computer : n024.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8042.1875MB
% 0.10/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Oct 1 16:03:08 EDT 2025
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Running portfolio for 300 s
% 0.10/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Number of cores: 8
% 0.10/0.36 % Python version: Python 3.6.8
% 0.10/0.37 % Running in HO mode
% 0.48/0.68 % Total configuration time : 828
% 0.48/0.68 % Estimated wc time : 1656
% 0.48/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.80 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.84 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.50/0.86 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.86 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.52/0.89 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.52/0.91 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 4.36/1.44 % Solved by lams/40_c_ic.sh.
% 4.36/1.44 % done 80 iterations in 0.578s
% 4.36/1.44 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.36/1.44 % SZS output start Refutation
% See solution above
% 4.36/1.44
% 4.36/1.44
% 4.36/1.44 % Terminating...
% 4.97/1.62 % Runner terminated.
% 5.01/1.65 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------