%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV158^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gmQT86KP5D true
% Computer : n012.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 04:57:17 PM UTC 2025
% Result : Theorem 40.54s 7.09s
% Output : Refutation 40.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 156 ( 1 equ; 0 cnn)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 599 ( 45 ~; 36 |; 36 &; 380 @)
% ( 12 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 176 ( 176 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 8 usr; 3 con; 0-2 aty)
% ( 63 !!; 1 ??; 0 @@+; 0 @@-)
% Number of variables : 106 ( 66 ^; 38 !; 2 ?; 106 :)
% Comments :
%------------------------------------------------------------------------------
thf('#form112_type',type,
'#form112': ( ( $i > $o ) > ( $i > $o ) > $o ) > $o ).
thf('#sk38_type',type,
'#sk38': ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf('#sk57_type',type,
'#sk57': ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf('#sk113_type',type,
'#sk113': ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf('#sk152_type',type,
'#sk152': ( ( $i > $o ) > ( $i > $o ) > $o ) > $i ).
thf('#sk244_type',type,
'#sk244': ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf('#sk163_type',type,
'#sk163': ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf('#sk23_type',type,
'#sk23': ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(cTHM120I_1_pme,conjecture,
? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xy @ Xz )
& ( R @ Xx @ Xy ) )
=> ( R @ Xx @ Xz ) )
& ! [X: $i > $o,Y: $i > $o] :
( ( ( R @ Y @ X )
& ( R @ X @ Y ) )
=> ! [Xx: $i] :
( ( X @ Xx )
<=> ( Y @ Xx ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xy @ Xz )
& ( R @ Xx @ Xy ) )
=> ( R @ Xx @ Xz ) )
& ! [X: $i > $o,Y: $i > $o] :
( ( ( R @ Y @ X )
& ( R @ X @ Y ) )
=> ! [Xx: $i] :
( ( X @ Xx )
<=> ( Y @ Xx ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM120I_1_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ??
@ ^ [Y0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( !!
@ ^ [Y1: $i > $o] : ( Y0 @ Y1 @ Y1 ) )
& ( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( !!
@ ^ [Y3: $i > $o] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( Y0 @ Y2 @ Y1 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
<=> ( Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
~ ( ( !!
@ ^ [Y0: $i > $o] : ( X2 @ Y0 @ Y0 ) )
& ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( ( X2 @ Y1 @ Y0 )
& ( X2 @ Y0 @ Y1 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
<=> ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( !!
@ ^ [Y0: $i > $o] : ( X2 @ Y0 @ Y0 ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( ( X2 @ Y1 @ Y0 )
& ( X2 @ Y0 @ Y1 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
<=> ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( X2 @ ( '#sk23' @ X2 ) @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( ( X2 @ Y1 @ Y0 )
& ( X2 @ Y0 @ Y1 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
<=> ( Y1 @ Y2 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( X2 @ Y0 @ ( '#sk38' @ X2 ) )
& ( X2 @ ( '#sk38' @ X2 ) @ Y0 ) )
=> ( !!
@ ^ [Y1: $i] :
( ( '#sk38' @ X2 @ Y1 )
<=> ( Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
| ~ ( X2 @ ( '#sk23' @ X2 ) @ ( '#sk23' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( ( ( X2 @ ( '#sk57' @ X2 ) @ ( '#sk38' @ X2 ) )
& ( X2 @ ( '#sk38' @ X2 ) @ ( '#sk57' @ X2 ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( '#sk38' @ X2 @ Y0 )
<=> ( '#sk57' @ X2 @ Y0 ) ) ) )
| ~ ( X2 @ ( '#sk23' @ X2 ) @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk38' @ X2 @ Y0 )
<=> ( '#sk57' @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
| ~ ( X2 @ ( '#sk23' @ X2 ) @ ( '#sk23' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl7_001,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk38' @ X2 @ Y0 )
<=> ( '#sk57' @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
| ~ ( X2 @ ( '#sk23' @ X2 ) @ ( '#sk23' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ( '#form112' @ X2 )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl12,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( '#form112' @ X2 )
| ~ ( X2 @ ( '#sk23' @ X2 ) @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk38' @ X2 @ Y0 )
<=> ( '#sk57' @ X2 @ Y0 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl7,zip_derived_cl10]) ).
thf(zip_derived_cl15,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( ( '#sk38' @ X2 @ ( '#sk152' @ X2 ) )
<=> ( '#sk57' @ X2 @ ( '#sk152' @ X2 ) ) )
| ~ ( X2 @ ( '#sk23' @ X2 ) @ ( '#sk23' @ X2 ) )
| ~ ( '#form112' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl19,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( '#sk38' @ X2 @ ( '#sk152' @ X2 ) )
!= ( '#sk57' @ X2 @ ( '#sk152' @ X2 ) ) )
| ~ ( X2 @ ( '#sk23' @ X2 ) @ ( '#sk23' @ X2 ) )
| ~ ( '#form112' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl10_002,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ( '#form112' @ X2 )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl11,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( ( X2 @ Y0 @ Y1 )
& ( X2 @ ( '#sk113' @ X2 ) @ Y0 ) )
=> ( X2 @ ( '#sk113' @ X2 ) @ Y1 ) ) ) )
| ( '#form112' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl16,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( X2 @ ( '#sk163' @ X2 ) @ Y0 )
& ( X2 @ ( '#sk113' @ X2 ) @ ( '#sk163' @ X2 ) ) )
=> ( X2 @ ( '#sk113' @ X2 ) @ Y0 ) ) )
| ( '#form112' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl20,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( ( ( X2 @ ( '#sk163' @ X2 ) @ ( '#sk244' @ X2 ) )
& ( X2 @ ( '#sk113' @ X2 ) @ ( '#sk163' @ X2 ) ) )
=> ( X2 @ ( '#sk113' @ X2 ) @ ( '#sk244' @ X2 ) ) )
| ( '#form112' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl21,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( X2 @ ( '#sk163' @ X2 ) @ ( '#sk244' @ X2 ) )
& ( X2 @ ( '#sk113' @ X2 ) @ ( '#sk163' @ X2 ) ) )
| ( '#form112' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl24,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ( X2 @ ( '#sk113' @ X2 ) @ ( '#sk163' @ X2 ) )
| ( '#form112' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl23,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ( X2 @ ( '#sk163' @ X2 ) @ ( '#sk244' @ X2 ) )
| ( '#form112' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl22,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( X2 @ ( '#sk113' @ X2 ) @ ( '#sk244' @ X2 ) )
| ( '#form112' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl6,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( X2 @ ( '#sk57' @ X2 ) @ ( '#sk38' @ X2 ) )
& ( X2 @ ( '#sk38' @ X2 ) @ ( '#sk57' @ X2 ) ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
| ~ ( X2 @ ( '#sk23' @ X2 ) @ ( '#sk23' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ( X2 @ ( '#sk38' @ X2 ) @ ( '#sk57' @ X2 ) )
| ~ ( X2 @ ( '#sk23' @ X2 ) @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10_003,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ( '#form112' @ X2 )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl14,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( '#form112'
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( X2 @ Y0 @ Y1 ) )
| ~ ( X2 @ ( '#sk23' @ X2 ) @ ( '#sk23' @ X2 ) )
| ( X2 @ ( '#sk38' @ X2 ) @ ( '#sk57' @ X2 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl9,zip_derived_cl10]) ).
thf(zip_derived_cl18,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( '#form112' @ X2 )
| ~ ( X2 @ ( '#sk23' @ X2 ) @ ( '#sk23' @ X2 ) )
| ( X2 @ ( '#sk38' @ X2 ) @ ( '#sk57' @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl3468,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl19,zip_derived_cl24,zip_derived_cl23,zip_derived_cl22,zip_derived_cl18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEV158^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gmQT86KP5D true
% 0.14/0.35 % Computer : n012.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 15:38:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/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
% 0.58/0.67 % Total configuration time : 828
% 0.58/0.67 % Estimated wc time : 1656
% 0.58/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.61/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.61/0.81 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.61/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.61/0.82 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.61/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.61/0.84 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.63/0.86 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.63/0.87 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 40.54/7.09 % Solved by lams/20_acsne_simpl.sh.
% 40.54/7.09 % done 163 iterations in 6.125s
% 40.54/7.09 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 40.54/7.09 % SZS output start Refutation
% See solution above
% 40.54/7.09
% 40.54/7.09
% 40.54/7.09 % Terminating...
% 41.64/7.29 % Runner terminated.
% 41.67/7.33 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------