%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU769^2 : 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.t2tIzHCrBh true
% Computer : n005.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 04:56:15 PM UTC 2025
% Result : Theorem 0.54s 0.75s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 49 ( 11 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 152 ( 4 ~; 2 |; 0 &; 136 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 54 ( 30 ^; 24 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(breln_type,type,
breln: $i > $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(breln1Set_type,type,
breln1Set: $i > $i ).
thf(breln1_type,type,
breln1: $i > $i > $o ).
thf(breln1Set,axiom,
( breln1Set
= ( ^ [A: $i] :
( dsetconstr @ ( powerset @ ( cartprod @ A @ A ) )
@ ^ [R: $i] : ( breln1 @ A @ R ) ) ) ) ).
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('4',plain,
( breln1Set
= ( ^ [A: $i] :
( dsetconstr @ ( powerset @ ( cartprod @ A @ A ) )
@ ^ [R: $i] : ( breln1 @ A @ R ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln1Set,'3','1']) ).
thf('5',plain,
( breln1Set
= ( ^ [V_1: $i] :
( dsetconstr @ ( powerset @ ( cartprod @ V_1 @ V_1 ) )
@ ^ [V_2: $i] : ( breln1 @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrER,axiom,
( dsetconstrER
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) ) ) ).
thf('6',plain,
( dsetconstrER
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(breln1SetBreln1,conjecture,
( dsetconstrER
=> ! [A: $i,R: $i] :
( ( in @ R @ ( breln1Set @ A ) )
=> ( breln1 @ A @ R ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) )
=> ! [X10: $i,X12: $i] :
( ( in @ X12
@ ( dsetconstr @ ( powerset @ ( cartprod @ X10 @ X10 ) )
@ ^ [V_2: $i] : ( subset @ V_2 @ ( cartprod @ X10 @ X10 ) ) ) )
=> ( subset @ X12 @ ( cartprod @ X10 @ X10 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) )
=> ! [X10: $i,X12: $i] :
( ( in @ X12
@ ( dsetconstr @ ( powerset @ ( cartprod @ X10 @ X10 ) )
@ ^ [V_2: $i] : ( subset @ V_2 @ ( cartprod @ X10 @ X10 ) ) ) )
=> ( subset @ X12 @ ( cartprod @ X10 @ X10 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( subset @ sk__4 @ ( cartprod @ sk__3 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
( in @ sk__4
@ ( dsetconstr @ ( powerset @ ( cartprod @ sk__3 @ sk__3 ) )
@ ^ [Y0: $i] : ( subset @ Y0 @ ( cartprod @ sk__3 @ sk__3 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( X0 @ X1 )
| ~ ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( X0 @ X1 )
| ~ ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl8,plain,
( ^ [Y0: $i] : ( subset @ Y0 @ ( cartprod @ sk__3 @ sk__3 ) )
@ sk__4 ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl33,plain,
subset @ sk__4 @ ( cartprod @ sk__3 @ sk__3 ),
inference(ho_norm,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl45,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU769^2 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.t2tIzHCrBh true
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 16:15:08 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.41/0.61 % Total configuration time : 828
% 0.41/0.61 % Estimated wc time : 1656
% 0.41/0.61 % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.75 % Solved by lams/40_c.s.sh.
% 0.54/0.75 % done 3 iterations in 0.030s
% 0.54/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.75 % SZS output start Refutation
% See solution above
% 0.54/0.75
% 0.54/0.75
% 0.54/0.76 % Terminating...
% 0.60/0.83 % Runner terminated.
% 1.80/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------