%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET144^5 : 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.9Lfz973I9U true
% Computer : n018.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 04:51:41 PM UTC 2025
% Result : Theorem 1.01s 0.77s
% Output : Refutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 20 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 92 ( 13 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 197 ( 13 ~; 29 |; 24 &; 106 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 4 usr; 4 con; 0-2 aty)
% ( 11 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 37 ( 27 ^; 10 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk4_type',type,
'#sk4': a ).
thf('#sk1_type',type,
'#sk1': a > $o ).
thf('#sk2_type',type,
'#sk2': a > $o ).
thf('#sk3_type',type,
'#sk3': a > $o ).
thf(cBOOL_PROP_44_pme,conjecture,
! [X: a > $o,Y: a > $o,Z: a > $o] :
( ! [Xx: a] :
( ( X @ Xx )
=> ( Z @ Xx ) )
=> ( ( ^ [Xz: a] :
( ( ( Z @ Xz )
& ( Y @ Xz ) )
| ( X @ Xz ) ) )
= ( ^ [Xx: a] :
( ( Z @ Xx )
& ( ( Y @ Xx )
| ( X @ Xx ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: a > $o,Y: a > $o,Z: a > $o] :
( ! [Xx: a] :
( ( X @ Xx )
=> ( Z @ Xx ) )
=> ( ( ^ [Xz: a] :
( ( ( Z @ Xz )
& ( Y @ Xz ) )
| ( X @ Xz ) ) )
= ( ^ [Xx: a] :
( ( Z @ Xx )
& ( ( Y @ Xx )
| ( X @ Xx ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cBOOL_PROP_44_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( ( ^ [Y3: a] :
( ( ( Y2 @ Y3 )
& ( Y1 @ Y3 ) )
| ( Y0 @ Y3 ) ) )
= ( ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( Y1 @ Y3 )
| ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( ( ^ [Y2: a] :
( ( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
| ( '#sk1' @ Y2 ) ) )
= ( ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( Y0 @ Y2 )
| ( '#sk1' @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( ( ^ [Y1: a] :
( ( ( Y0 @ Y1 )
& ( '#sk2' @ Y1 ) )
| ( '#sk1' @ Y1 ) ) )
= ( ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( ( '#sk2' @ Y1 )
| ( '#sk1' @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
=> ( ( ^ [Y0: a] :
( ( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) )
| ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: a] :
( ( '#sk3' @ Y0 )
& ( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
( ( ^ [Y0: a] :
( ( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) )
| ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: a] :
( ( '#sk3' @ Y0 )
& ( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
( ( ^ [Y0: a] :
( ( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) )
| ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: a] :
( ( '#sk3' @ Y0 )
& ( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
( ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
| ( '#sk1' @ '#sk4' ) )
!= ( ( '#sk3' @ '#sk4' )
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9_001,plain,
( ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
| ( '#sk1' @ '#sk4' ) )
!= ( ( '#sk3' @ '#sk4' )
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
( ( '#sk3' @ '#sk4' )
| ( ( ( $false
& ( '#sk2' @ '#sk4' ) )
| ( '#sk1' @ '#sk4' ) )
!= ( $false
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl13,plain,
( ( '#sk3' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
! [X2: a] :
( ( '#sk1' @ X2 )
=> ( '#sk3' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 )
| ( '#sk3' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl14,plain,
'#sk3' @ '#sk4',
inference(clc,[status(thm)],[zip_derived_cl13,zip_derived_cl8]) ).
thf(zip_derived_cl14_002,plain,
'#sk3' @ '#sk4',
inference(clc,[status(thm)],[zip_derived_cl13,zip_derived_cl8]) ).
thf(zip_derived_cl15,plain,
( ( ( $true
& ( '#sk2' @ '#sk4' ) )
| ( '#sk1' @ '#sk4' ) )
!= ( $true
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl14,zip_derived_cl14]) ).
thf(zip_derived_cl16,plain,
( ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) )
!= ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl17,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SET144^5 : TPTP v9.2.0. Released v4.0.0.
% 0.09/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9Lfz973I9U true
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Oct 1 13:17:38 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.33 % Python version: Python 3.6.8
% 0.13/0.34 % Running in HO mode
% 0.19/0.61 % Total configuration time : 828
% 0.19/0.61 % Estimated wc time : 1656
% 0.19/0.61 % Estimated cpu time (8 cpus) : 207.0
% 0.85/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.85/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.85/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.85/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.85/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.85/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.85/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.01/0.77 % Solved by lams/35_full_unif4.sh.
% 1.01/0.77 % done 3 iterations in 0.015s
% 1.01/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.01/0.77 % SZS output start Refutation
% See solution above
% 1.01/0.77
% 1.01/0.77
% 1.01/0.77 % Terminating...
% 1.01/0.83 % Runner terminated.
% 1.01/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------