TSTP Solution File: SET622^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET622^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3A8RULjgEv true
% Computer : n014.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 Aug 31 16:15:06 EDT 2023
% Result : Theorem 0.67s 0.78s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 21 unt; 5 typ; 0 def)
% Number of atoms : 216 ( 20 equ; 54 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 440 ( 75 ~; 52 |; 81 &; 226 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 4 usr; 5 con; 0-2 aty)
% ( 6 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 26 ( 20 ^; 6 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk2_type',type,
'#sk2': a > $o ).
thf('#sk3_type',type,
'#sk3': a > $o ).
thf('#sk1_type',type,
'#sk1': a > $o ).
thf('#sk4_type',type,
'#sk4': a ).
thf(cBOOL_PROP_98_pme,conjecture,
! [X: a > $o,Y: a > $o,Z: a > $o] :
( ( ^ [Xx: a] :
( ~ ( ( ~ ( Y @ Xx )
& ( Z @ Xx ) )
| ( ~ ( Z @ Xx )
& ( Y @ Xx ) ) )
& ( X @ Xx ) ) )
= ( ^ [Xz: a] :
( ( ( Z @ Xz )
& ( Y @ Xz )
& ( X @ Xz ) )
| ( ~ ( ( Z @ Xz )
| ( Y @ Xz ) )
& ( X @ Xz ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: a > $o,Y: a > $o,Z: a > $o] :
( ( ^ [Xx: a] :
( ~ ( ( ~ ( Y @ Xx )
& ( Z @ Xx ) )
| ( ~ ( Z @ Xx )
& ( Y @ Xx ) ) )
& ( X @ Xx ) ) )
= ( ^ [Xz: a] :
( ( ( Z @ Xz )
& ( Y @ Xz )
& ( X @ Xz ) )
| ( ~ ( ( Z @ Xz )
| ( Y @ Xz ) )
& ( X @ Xz ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cBOOL_PROP_98_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a > $o] :
( ( ^ [Y3: a] :
( ( (~)
@ ( ( ( (~) @ ( Y1 @ Y3 ) )
& ( Y2 @ Y3 ) )
| ( ( (~) @ ( Y2 @ Y3 ) )
& ( Y1 @ Y3 ) ) ) )
& ( Y0 @ Y3 ) ) )
= ( ^ [Y3: a] :
( ( ( Y2 @ Y3 )
& ( Y1 @ Y3 )
& ( Y0 @ Y3 ) )
| ( ( (~)
@ ( ( 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] :
( ( (~)
@ ( ( ( (~) @ ( Y0 @ Y2 ) )
& ( Y1 @ Y2 ) )
| ( ( (~) @ ( Y1 @ Y2 ) )
& ( Y0 @ Y2 ) ) ) )
& ( '#sk1' @ Y2 ) ) )
= ( ^ [Y2: a] :
( ( ( Y1 @ Y2 )
& ( Y0 @ Y2 )
& ( '#sk1' @ Y2 ) )
| ( ( (~)
@ ( ( 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] :
( ( (~)
@ ( ( ( (~) @ ( '#sk2' @ Y1 ) )
& ( Y0 @ Y1 ) )
| ( ( (~) @ ( Y0 @ Y1 ) )
& ( '#sk2' @ Y1 ) ) ) )
& ( '#sk1' @ Y1 ) ) )
= ( ^ [Y1: a] :
( ( ( Y0 @ Y1 )
& ( '#sk2' @ Y1 )
& ( '#sk1' @ Y1 ) )
| ( ( (~)
@ ( ( Y0 @ Y1 )
| ( '#sk2' @ Y1 ) ) )
& ( '#sk1' @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ( ^ [Y0: a] :
( ( (~)
@ ( ( ( (~) @ ( '#sk2' @ Y0 ) )
& ( '#sk3' @ Y0 ) )
| ( ( (~) @ ( '#sk3' @ Y0 ) )
& ( '#sk2' @ Y0 ) ) ) )
& ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: a] :
( ( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) )
| ( ( (~)
@ ( ( '#sk3' @ Y0 )
| ( '#sk2' @ Y0 ) ) )
& ( '#sk1' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( ( ^ [Y0: a] :
( ( (~)
@ ( ( ( (~) @ ( '#sk2' @ Y0 ) )
& ( '#sk3' @ Y0 ) )
| ( ( (~) @ ( '#sk3' @ Y0 ) )
& ( '#sk2' @ Y0 ) ) ) )
& ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: a] :
( ( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) )
| ( ( (~)
@ ( ( '#sk3' @ Y0 )
| ( '#sk2' @ Y0 ) ) )
& ( '#sk1' @ Y0 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
( ( ( (~)
@ ( ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk3' @ '#sk4' ) )
| ( ( (~) @ ( '#sk3' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) ) )
& ( '#sk1' @ '#sk4' ) )
!= ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) )
| ( ( (~)
@ ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) ) )
& ( '#sk1' @ '#sk4' ) ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl5_001,plain,
( ( ( (~)
@ ( ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk3' @ '#sk4' ) )
| ( ( (~) @ ( '#sk3' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) ) )
& ( '#sk1' @ '#sk4' ) )
!= ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) )
| ( ( (~)
@ ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) ) )
& ( '#sk1' @ '#sk4' ) ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
( ( '#sk1' @ '#sk4' )
| ( ( ( (~)
@ ( ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk3' @ '#sk4' ) )
| ( ( (~) @ ( '#sk3' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) ) )
& $false )
!= ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' )
& $false )
| ( ( (~)
@ ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) ) )
& $false ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
'#sk1' @ '#sk4',
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl9_002,plain,
'#sk1' @ '#sk4',
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl9_003,plain,
'#sk1' @ '#sk4',
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
( ( ( (~)
@ ( ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk3' @ '#sk4' ) )
| ( ( (~) @ ( '#sk3' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) ) )
& $true )
!= ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' )
& $true )
| ( ( (~)
@ ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) ) )
& $true ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl9,zip_derived_cl9,zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
( ( (~)
@ ( ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk3' @ '#sk4' ) )
| ( ( (~) @ ( '#sk3' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) ) )
!= ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
| ( (~)
@ ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
( ( ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk3' @ '#sk4' ) )
| ( ( (~) @ ( '#sk3' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) )
= ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
| ( (~)
@ ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl12_004,plain,
( ( ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk3' @ '#sk4' ) )
| ( ( (~) @ ( '#sk3' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) )
= ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
| ( (~)
@ ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl15,plain,
( ( '#sk2' @ '#sk4' )
| ( ( ( ( (~) @ $false )
& ( '#sk3' @ '#sk4' ) )
| ( ( (~) @ ( '#sk3' @ '#sk4' ) )
& $false ) )
= ( ( ( '#sk3' @ '#sk4' )
& $false )
| ( (~)
@ ( ( '#sk3' @ '#sk4' )
| $false ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl16,plain,
( ( '#sk2' @ '#sk4' )
| ( ( '#sk3' @ '#sk4' )
= ( (~) @ ( '#sk3' @ '#sk4' ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl17,plain,
( ( '#sk2' @ '#sk4' )
| ( ( '#sk3' @ '#sk4' )
!= ( '#sk3' @ '#sk4' ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl18,plain,
'#sk2' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl18_005,plain,
'#sk2' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl18_006,plain,
'#sk2' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl18_007,plain,
'#sk2' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl19,plain,
( ( ( ( (~) @ $true )
& ( '#sk3' @ '#sk4' ) )
| ( ( (~) @ ( '#sk3' @ '#sk4' ) )
& $true ) )
= ( ( ( '#sk3' @ '#sk4' )
& $true )
| ( (~)
@ ( ( '#sk3' @ '#sk4' )
| $true ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl18,zip_derived_cl18,zip_derived_cl18,zip_derived_cl18]) ).
thf(zip_derived_cl20,plain,
( ( (~) @ ( '#sk3' @ '#sk4' ) )
= ( '#sk3' @ '#sk4' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21,plain,
( ( '#sk3' @ '#sk4' )
!= ( '#sk3' @ '#sk4' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl22,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET622^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3A8RULjgEv true
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 09:41:47 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in HO mode
% 0.18/0.62 % Total configuration time : 828
% 0.18/0.62 % Estimated wc time : 1656
% 0.18/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.18/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.18/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.18/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.67/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.67/0.78 % Solved by lams/35_full_unif4.sh.
% 0.67/0.78 % done 4 iterations in 0.011s
% 0.67/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.67/0.78 % SZS output start Refutation
% See solution above
% 0.67/0.78
% 0.67/0.78
% 0.67/0.78 % Terminating...
% 1.22/0.93 % Runner terminated.
% 1.33/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------