%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU650^2 : 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.Ut352RPzTw true
% Computer : n001.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 04:55:33 PM UTC 2025
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 58 ( 44 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 272 ( 11 ~; 2 |; 0 &; 230 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 6 con; 0-2 aty)
% ( 10 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 33 ( 10 ^; 23 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk2_type',type,
'#sk2': $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(setukpairinjR11_type,type,
setukpairinjR11: $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(setukpairinjR11,axiom,
( setukpairinjR11
= ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) )
= ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
thf('0',plain,
( setukpairinjR11
= ( ! [X4: $i,X6: $i] :
( ( X4 = X6 )
=> ( ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) )
= ( setadjoin @ X4 @ emptyset ) ) ) ) ),
define([status(thm)]) ).
thf(setukpairinjR12,conjecture,
( setukpairinjR11
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ emptyset ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( X4 = X6 )
=> ( ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) )
= ( setadjoin @ X4 @ emptyset ) ) )
=> ! [X8: $i,X10: $i] :
( ( X8 = X10 )
=> ( ( setadjoin @ ( setadjoin @ X8 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X8 @ emptyset ) @ emptyset ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( X4 = X6 )
=> ( ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) )
= ( setadjoin @ X4 @ emptyset ) ) )
=> ! [X8: $i,X10: $i] :
( ( X8 = X10 )
=> ( ( setadjoin @ ( setadjoin @ X8 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X8 @ emptyset ) @ emptyset ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( Y0 = Y1 )
=> ( ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) )
= ( setadjoin @ Y0 @ emptyset ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( Y0 = Y1 )
=> ( ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ emptyset ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( Y0 = Y1 )
=> ( ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ emptyset ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' = Y0 )
=> ( ( setadjoin @ ( setadjoin @ '#sk1' @ emptyset ) @ ( setadjoin @ ( setadjoin @ '#sk1' @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ '#sk1' @ emptyset ) @ emptyset ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
~ ( ( '#sk1' = '#sk2' )
=> ( ( setadjoin @ ( setadjoin @ '#sk1' @ emptyset ) @ ( setadjoin @ ( setadjoin @ '#sk1' @ ( setadjoin @ '#sk2' @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ '#sk1' @ emptyset ) @ emptyset ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
'#sk1' = '#sk2',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
'#sk1' = '#sk2',
inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl9,plain,
( ( setadjoin @ ( setadjoin @ '#sk1' @ emptyset ) @ ( setadjoin @ ( setadjoin @ '#sk1' @ ( setadjoin @ '#sk2' @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ '#sk1' @ emptyset ) @ emptyset ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
( ( setadjoin @ ( setadjoin @ '#sk1' @ emptyset ) @ ( setadjoin @ ( setadjoin @ '#sk1' @ ( setadjoin @ '#sk2' @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ '#sk1' @ emptyset ) @ emptyset ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl16,plain,
( ( setadjoin @ ( setadjoin @ '#sk1' @ emptyset ) @ ( setadjoin @ ( setadjoin @ '#sk1' @ ( setadjoin @ '#sk1' @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ '#sk1' @ emptyset ) @ emptyset ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl13]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( Y0 = Y1 )
=> ( ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) )
= ( setadjoin @ Y0 @ emptyset ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( X2 = Y0 )
=> ( ( setadjoin @ X2 @ ( setadjoin @ Y0 @ emptyset ) )
= ( setadjoin @ X2 @ emptyset ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
! [X2: $i,X4: $i] :
( ( X2 = X4 )
=> ( ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) )
= ( setadjoin @ X2 @ emptyset ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: $i,X4: $i] :
( ( X2 != X4 )
| ( ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) )
= ( setadjoin @ X2 @ emptyset ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i] :
( ( X2 != X4 )
| ( ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) )
= ( setadjoin @ X2 @ emptyset ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl11,plain,
! [X4: $i] :
( ( setadjoin @ X4 @ ( setadjoin @ X4 @ emptyset ) )
= ( setadjoin @ X4 @ emptyset ) ),
inference(simplify,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl11_001,plain,
! [X4: $i] :
( ( setadjoin @ X4 @ ( setadjoin @ X4 @ emptyset ) )
= ( setadjoin @ X4 @ emptyset ) ),
inference(simplify,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl18,plain,
( ( setadjoin @ ( setadjoin @ '#sk1' @ emptyset ) @ emptyset )
!= ( setadjoin @ ( setadjoin @ '#sk1' @ emptyset ) @ emptyset ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl11,zip_derived_cl11]) ).
thf(zip_derived_cl19,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU650^2 : TPTP v9.2.0. Released v3.7.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Ut352RPzTw true
% 0.14/0.35 % Computer : n001.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:06:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.56/0.69 % Total configuration time : 828
% 0.56/0.69 % Estimated wc time : 1656
% 0.56/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.76 % Solved by lams/35_full_unif4.sh.
% 0.57/0.76 % done 2 iterations in 0.009s
% 0.57/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.76 % SZS output start Refutation
% See solution above
% 0.57/0.76
% 0.57/0.76
% 0.57/0.76 % Terminating...
% 1.66/0.87 % Runner terminated.
% 1.66/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------