%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU785^2 : 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.WMRG0aS9ry true
% Computer : n004.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 04:56:22 PM UTC 2025
% Result : Theorem 1.37s 0.76s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 130 ( 4 equ; 0 cnn)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 488 ( 29 ~; 32 |; 0 &; 366 @)
% ( 0 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 71 ( 0 ^; 71 !; 0 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__11_type,type,
sk__11: $i ).
thf(breln1unionIL_type,type,
breln1unionIL: $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(breln1_type,type,
breln1: $i > $i > $o ).
thf(breln1unionIR_type,type,
breln1unionIR: $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(breln1unionIR,axiom,
( breln1unionIR
= ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ S )
=> ( in @ ( kpair @ Xx @ Xy ) @ ( binunion @ R @ S ) ) ) ) ) ) ) ) ) ).
thf('0',plain,
( breln1unionIR
= ( ! [X4: $i,X6: $i] :
( ( breln1 @ X4 @ X6 )
=> ! [X8: $i] :
( ( breln1 @ X4 @ X8 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ X8 )
=> ( in @ ( kpair @ X10 @ X12 ) @ ( binunion @ X6 @ X8 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(breln1unionIL,axiom,
( breln1unionIL
= ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ R )
=> ( in @ ( kpair @ Xx @ Xy ) @ ( binunion @ R @ S ) ) ) ) ) ) ) ) ) ).
thf('1',plain,
( breln1unionIL
= ( ! [X4: $i,X6: $i] :
( ( breln1 @ X4 @ X6 )
=> ! [X8: $i] :
( ( breln1 @ X4 @ X8 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ X6 )
=> ( in @ ( kpair @ X10 @ X12 ) @ ( binunion @ X6 @ X8 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(breln1unionI,conjecture,
( breln1unionIL
=> ( breln1unionIR
=> ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( ( in @ ( kpair @ Xx @ Xy ) @ R )
| ( in @ ( kpair @ Xx @ Xy ) @ S ) )
=> ( in @ ( kpair @ Xx @ Xy ) @ ( binunion @ R @ S ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( breln1 @ X4 @ X6 )
=> ! [X8: $i] :
( ( breln1 @ X4 @ X8 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ X6 )
=> ( in @ ( kpair @ X10 @ X12 ) @ ( binunion @ X6 @ X8 ) ) ) ) ) ) )
=> ( ! [X14: $i,X16: $i] :
( ( breln1 @ X14 @ X16 )
=> ! [X18: $i] :
( ( breln1 @ X14 @ X18 )
=> ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ! [X22: $i] :
( ( in @ X22 @ X14 )
=> ( ( in @ ( kpair @ X20 @ X22 ) @ X18 )
=> ( in @ ( kpair @ X20 @ X22 ) @ ( binunion @ X16 @ X18 ) ) ) ) ) ) )
=> ! [X24: $i,X26: $i] :
( ( breln1 @ X24 @ X26 )
=> ! [X28: $i] :
( ( breln1 @ X24 @ X28 )
=> ! [X30: $i] :
( ( in @ X30 @ X24 )
=> ! [X32: $i] :
( ( in @ X32 @ X24 )
=> ( ( ( in @ ( kpair @ X30 @ X32 ) @ X26 )
| ( in @ ( kpair @ X30 @ X32 ) @ X28 ) )
=> ( in @ ( kpair @ X30 @ X32 ) @ ( binunion @ X26 @ X28 ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( breln1 @ X4 @ X6 )
=> ! [X8: $i] :
( ( breln1 @ X4 @ X8 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ X6 )
=> ( in @ ( kpair @ X10 @ X12 ) @ ( binunion @ X6 @ X8 ) ) ) ) ) ) )
=> ( ! [X14: $i,X16: $i] :
( ( breln1 @ X14 @ X16 )
=> ! [X18: $i] :
( ( breln1 @ X14 @ X18 )
=> ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ! [X22: $i] :
( ( in @ X22 @ X14 )
=> ( ( in @ ( kpair @ X20 @ X22 ) @ X18 )
=> ( in @ ( kpair @ X20 @ X22 ) @ ( binunion @ X16 @ X18 ) ) ) ) ) ) )
=> ! [X24: $i,X26: $i] :
( ( breln1 @ X24 @ X26 )
=> ! [X28: $i] :
( ( breln1 @ X24 @ X28 )
=> ! [X30: $i] :
( ( in @ X30 @ X24 )
=> ! [X32: $i] :
( ( in @ X32 @ X24 )
=> ( ( ( in @ ( kpair @ X30 @ X32 ) @ X26 )
| ( in @ ( kpair @ X30 @ X32 ) @ X28 ) )
=> ( in @ ( kpair @ X30 @ X32 ) @ ( binunion @ X26 @ X28 ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
breln1 @ sk__10 @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6_001,plain,
breln1 @ sk__10 @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
( ( in @ ( kpair @ sk__13 @ sk__14 ) @ sk__11 )
| ( in @ ( kpair @ sk__13 @ sk__14 ) @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( breln1 @ X5 @ X6 )
| ~ ( in @ X7 @ X5 )
| ( in @ ( kpair @ X8 @ X7 ) @ ( binunion @ X9 @ X6 ) )
| ~ ( in @ ( kpair @ X8 @ X7 ) @ X6 )
| ~ ( in @ X8 @ X5 )
| ~ ( breln1 @ X5 @ X9 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ( in @ ( kpair @ sk__13 @ sk__14 ) @ sk__11 )
| ~ ( breln1 @ X1 @ X0 )
| ~ ( in @ sk__13 @ X1 )
| ( in @ ( kpair @ sk__13 @ sk__14 ) @ ( binunion @ X0 @ sk__12 ) )
| ~ ( in @ sk__14 @ X1 )
| ~ ( breln1 @ X1 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).
thf(zip_derived_cl37,plain,
( ~ ( breln1 @ sk__10 @ sk__12 )
| ~ ( in @ sk__14 @ sk__10 )
| ( in @ ( kpair @ sk__13 @ sk__14 ) @ ( binunion @ sk__11 @ sk__12 ) )
| ~ ( in @ sk__13 @ sk__10 )
| ( in @ ( kpair @ sk__13 @ sk__14 ) @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl24]) ).
thf(zip_derived_cl1,plain,
breln1 @ sk__10 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
in @ sk__14 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
in @ sk__13 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl43,plain,
( ( in @ ( kpair @ sk__13 @ sk__14 ) @ ( binunion @ sk__11 @ sk__12 ) )
| ( in @ ( kpair @ sk__13 @ sk__14 ) @ sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl1,zip_derived_cl2,zip_derived_cl5]) ).
thf(zip_derived_cl3,plain,
~ ( in @ ( kpair @ sk__13 @ sk__14 ) @ ( binunion @ sk__11 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl46,plain,
in @ ( kpair @ sk__13 @ sk__14 ) @ sk__11,
inference(clc,[status(thm)],[zip_derived_cl43,zip_derived_cl3]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( breln1 @ X0 @ X1 )
| ~ ( in @ X2 @ X0 )
| ( in @ ( kpair @ X3 @ X2 ) @ ( binunion @ X4 @ X1 ) )
| ~ ( in @ ( kpair @ X3 @ X2 ) @ X4 )
| ~ ( in @ X3 @ X0 )
| ~ ( breln1 @ X0 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ~ ( breln1 @ X0 @ sk__11 )
| ~ ( in @ sk__13 @ X0 )
| ( in @ ( kpair @ sk__13 @ sk__14 ) @ ( binunion @ sk__11 @ X1 ) )
| ~ ( in @ sk__14 @ X0 )
| ~ ( breln1 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl0]) ).
thf(zip_derived_cl54,plain,
! [X0: $i] :
( ~ ( breln1 @ sk__10 @ X0 )
| ~ ( in @ sk__14 @ sk__10 )
| ( in @ ( kpair @ sk__13 @ sk__14 ) @ ( binunion @ sk__11 @ X0 ) )
| ~ ( in @ sk__13 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl48]) ).
thf(zip_derived_cl2_002,plain,
in @ sk__14 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5_003,plain,
in @ sk__13 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl58,plain,
! [X0: $i] :
( ~ ( breln1 @ sk__10 @ X0 )
| ( in @ ( kpair @ sk__13 @ sk__14 ) @ ( binunion @ sk__11 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl2,zip_derived_cl5]) ).
thf(zip_derived_cl3_004,plain,
~ ( in @ ( kpair @ sk__13 @ sk__14 ) @ ( binunion @ sk__11 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl60,plain,
~ ( breln1 @ sk__10 @ sk__12 ),
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl3]) ).
thf(zip_derived_cl1_005,plain,
breln1 @ sk__10 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl66,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU785^2 : TPTP v9.2.0. Released v3.7.0.
% 0.10/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WMRG0aS9ry true
% 0.10/0.31 % Computer : n004.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Wed Oct 1 16:09:38 EDT 2025
% 0.16/0.31 % CPUTime :
% 0.16/0.31 % Running portfolio for 300 s
% 0.16/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.31 % Number of cores: 8
% 0.16/0.32 % Python version: Python 3.6.8
% 0.16/0.32 % Running in HO mode
% 0.70/0.62 % Total configuration time : 828
% 0.70/0.62 % Estimated wc time : 1656
% 0.70/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.93/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.93/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.93/0.69 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.93/0.69 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.93/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.93/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.93/0.69 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.93/0.71 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.37/0.76 % Solved by lams/40_c.s.sh.
% 1.37/0.76 % done 23 iterations in 0.044s
% 1.37/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.37/0.76 % SZS output start Refutation
% See solution above
% 1.37/0.76
% 1.37/0.76
% 1.37/0.76 % Terminating...
% 1.62/0.82 % Runner terminated.
% 1.62/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------