TSTP Solution File: SEV387^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV387^5 : 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.3tzZ4vDfv9 true
% Computer : n010.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 20:00:37 EDT 2023
% Result : Theorem 1.28s 0.81s
% Output : Refutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 19 unt; 5 typ; 0 def)
% Number of atoms : 273 ( 23 equ; 54 cnn)
% Maximal formula atoms : 4 ( 8 avg)
% Number of connectives : 557 ( 84 ~; 40 |; 145 &; 282 @)
% ( 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(cGAZING_THM44_pme,conjecture,
! [S: a > $o,T: a > $o,U: a > $o] :
( ( ^ [Xx: a] :
( ( ( ~ ( T @ Xx )
& ( U @ Xx ) )
| ( ~ ( U @ Xx )
& ( T @ Xx ) ) )
& ( S @ Xx ) ) )
= ( ^ [Xz: a] :
( ( ~ ( ( T @ Xz )
& ( S @ Xz ) )
& ( U @ Xz )
& ( S @ Xz ) )
| ( ~ ( ( U @ Xz )
& ( S @ Xz ) )
& ( T @ Xz )
& ( S @ Xz ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [S: a > $o,T: a > $o,U: a > $o] :
( ( ^ [Xx: a] :
( ( ( ~ ( T @ Xx )
& ( U @ Xx ) )
| ( ~ ( U @ Xx )
& ( T @ Xx ) ) )
& ( S @ Xx ) ) )
= ( ^ [Xz: a] :
( ( ~ ( ( T @ Xz )
& ( S @ Xz ) )
& ( U @ Xz )
& ( S @ Xz ) )
| ( ~ ( ( U @ Xz )
& ( S @ Xz ) )
& ( T @ Xz )
& ( S @ Xz ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cGAZING_THM44_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] :
( ( ( (~)
@ ( ( Y1 @ Y3 )
& ( Y0 @ Y3 ) ) )
& ( Y2 @ Y3 )
& ( Y0 @ Y3 ) )
| ( ( (~)
@ ( ( Y2 @ Y3 )
& ( Y0 @ 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] :
( ( ( (~)
@ ( ( Y0 @ Y2 )
& ( '#sk1' @ Y2 ) ) )
& ( Y1 @ Y2 )
& ( '#sk1' @ Y2 ) )
| ( ( (~)
@ ( ( Y1 @ Y2 )
& ( '#sk1' @ 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] :
( ( ( (~)
@ ( ( '#sk2' @ Y1 )
& ( '#sk1' @ Y1 ) ) )
& ( Y0 @ Y1 )
& ( '#sk1' @ Y1 ) )
| ( ( (~)
@ ( ( Y0 @ Y1 )
& ( '#sk1' @ 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] :
( ( ( (~)
@ ( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
& ( '#sk3' @ Y0 )
& ( '#sk1' @ Y0 ) )
| ( ( (~)
@ ( ( '#sk3' @ Y0 )
& ( '#sk1' @ 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] :
( ( ( (~)
@ ( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
& ( '#sk3' @ Y0 )
& ( '#sk1' @ Y0 ) )
| ( ( (~)
@ ( ( '#sk3' @ Y0 )
& ( '#sk1' @ 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' ) )
!= ( ( ( (~)
@ ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
& ( '#sk3' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) )
| ( ( (~)
@ ( ( '#sk3' @ '#sk4' )
& ( '#sk1' @ '#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' ) )
!= ( ( ( (~)
@ ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
& ( '#sk3' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) )
| ( ( (~)
@ ( ( '#sk3' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
& ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
( ( '#sk2' @ '#sk4' )
| ( ( ( ( ( (~) @ $false )
& ( '#sk3' @ '#sk4' ) )
| ( ( (~) @ ( '#sk3' @ '#sk4' ) )
& $false ) )
& ( '#sk1' @ '#sk4' ) )
!= ( ( ( (~)
@ ( $false
& ( '#sk1' @ '#sk4' ) ) )
& ( '#sk3' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) )
| ( ( (~)
@ ( ( '#sk3' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
& $false
& ( '#sk1' @ '#sk4' ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
( ( '#sk2' @ '#sk4' )
| ( ( ( '#sk3' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) )
!= ( ( '#sk1' @ '#sk4' )
& ( '#sk3' @ '#sk4' ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' )
| ( ( $false
& ( '#sk1' @ '#sk4' ) )
!= ( ( '#sk1' @ '#sk4' )
& $false ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl13,plain,
( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl5_002,plain,
( ( ( ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk3' @ '#sk4' ) )
| ( ( (~) @ ( '#sk3' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) )
& ( '#sk1' @ '#sk4' ) )
!= ( ( ( (~)
@ ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
& ( '#sk3' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) )
| ( ( (~)
@ ( ( '#sk3' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
& ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl14,plain,
( ( ( ( ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk3' @ '#sk4' ) )
| ( ( (~) @ ( '#sk3' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) )
& ( '#sk1' @ '#sk4' ) )
!= ( ( ( (~)
@ ( $true
& ( '#sk1' @ '#sk4' ) ) )
& ( '#sk3' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) )
| ( ( (~)
@ ( ( '#sk3' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
& ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) ) )
| ( '#sk3' @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).
thf(zip_derived_cl18,plain,
( ( ( ( ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk3' @ '#sk4' ) )
| ( ( (~) @ ( '#sk3' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) )
& ( '#sk1' @ '#sk4' ) )
!= ( ( (~)
@ ( ( '#sk3' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
& ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
| ( '#sk3' @ '#sk4' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl19,plain,
( ( ( ( ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& $false )
| ( ( (~) @ $false )
& ( '#sk2' @ '#sk4' ) ) )
& ( '#sk1' @ '#sk4' ) )
!= ( ( (~)
@ ( $false
& ( '#sk1' @ '#sk4' ) ) )
& ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
| ( '#sk3' @ '#sk4' ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl20,plain,
( ( ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) )
!= ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
| ( '#sk3' @ '#sk4' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl21_003,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl21_004,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl21_005,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl30,plain,
( ( ( ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& $true )
| ( ( (~) @ $true )
& ( '#sk2' @ '#sk4' ) ) )
& ( '#sk1' @ '#sk4' ) )
!= ( ( ( (~)
@ ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
& $true
& ( '#sk1' @ '#sk4' ) )
| ( ( (~)
@ ( $true
& ( '#sk1' @ '#sk4' ) ) )
& ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl21,zip_derived_cl21,zip_derived_cl21,zip_derived_cl21]) ).
thf(zip_derived_cl31,plain,
( ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk1' @ '#sk4' ) )
!= ( ( '#sk1' @ '#sk4' )
& ( (~)
@ ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl9_006,plain,
( ( '#sk2' @ '#sk4' )
| ( ( ( '#sk3' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) )
!= ( ( '#sk1' @ '#sk4' )
& ( '#sk3' @ '#sk4' ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl21_007,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl21_008,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl32,plain,
( ( '#sk2' @ '#sk4' )
| ( ( $true
& ( '#sk1' @ '#sk4' ) )
!= ( ( '#sk1' @ '#sk4' )
& $true ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl21,zip_derived_cl21]) ).
thf(zip_derived_cl33,plain,
( ( '#sk2' @ '#sk4' )
| ( ( '#sk1' @ '#sk4' )
!= ( '#sk1' @ '#sk4' ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl34,plain,
'#sk2' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl34_009,plain,
'#sk2' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl35,plain,
( ( ( (~) @ $true )
& ( '#sk1' @ '#sk4' ) )
!= ( ( '#sk1' @ '#sk4' )
& ( (~)
@ ( $true
& ( '#sk1' @ '#sk4' ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl34,zip_derived_cl34]) ).
thf(zip_derived_cl36,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV387^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3tzZ4vDfv9 true
% 0.17/0.35 % Computer : n010.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 24 02:37:36 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.36 % Running in HO mode
% 0.22/0.68 % Total configuration time : 828
% 0.22/0.68 % Estimated wc time : 1656
% 0.22/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.28/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.28/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.28/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.28/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.28/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.28/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.28/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.28/0.81 % Solved by lams/35_full_unif4.sh.
% 1.28/0.81 % done 7 iterations in 0.015s
% 1.28/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.28/0.81 % SZS output start Refutation
% See solution above
% 1.28/0.81
% 1.28/0.81
% 1.28/0.81 % Terminating...
% 1.58/0.88 % Runner terminated.
% 1.58/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------