TSTP Solution File: SEV070^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV070^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KNajiswhQ7 true
% Computer : n002.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 19:59:30 EDT 2023
% Result : Theorem 0.21s 0.79s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 6 unt; 6 typ; 0 def)
% Number of atoms : 128 ( 0 equ; 2 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 472 ( 27 ~; 7 |; 40 &; 268 @)
% ( 0 <=>; 76 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 7 con; 0-1 aty)
% ( 54 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 77 ( 54 ^; 23 !; 0 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk3_type',type,
'#sk3': $i ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(cS_type,type,
cS: $i > $i ).
thf('#sk15_type',type,
'#sk15': ( $i > $o ) > $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf('#sk4_type',type,
'#sk4': $i > $o ).
thf(cTHM577_pme,conjecture,
! [Xx: $i,Xy: $i,Xz: $i] :
( ( ! [Xp: $i > $o] :
( ( ! [Xn: $i] :
( ( Xp @ Xn )
=> ( Xp @ ( cS @ Xn ) ) )
& ( Xp @ Xy ) )
=> ( Xp @ Xz ) )
& ! [Xp: $i > $o] :
( ( ! [Xn: $i] :
( ( Xp @ Xn )
=> ( Xp @ ( cS @ Xn ) ) )
& ( Xp @ Xx ) )
=> ( Xp @ Xy ) ) )
=> ! [Xp: $i > $o] :
( ( ! [Xn: $i] :
( ( Xp @ Xn )
=> ( Xp @ ( cS @ Xn ) ) )
& ( Xp @ Xx ) )
=> ( Xp @ Xz ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xx: $i,Xy: $i,Xz: $i] :
( ( ! [Xp: $i > $o] :
( ( ! [Xn: $i] :
( ( Xp @ Xn )
=> ( Xp @ ( cS @ Xn ) ) )
& ( Xp @ Xy ) )
=> ( Xp @ Xz ) )
& ! [Xp: $i > $o] :
( ( ! [Xn: $i] :
( ( Xp @ Xn )
=> ( Xp @ ( cS @ Xn ) ) )
& ( Xp @ Xx ) )
=> ( Xp @ Xy ) ) )
=> ! [Xp: $i > $o] :
( ( ! [Xn: $i] :
( ( Xp @ Xn )
=> ( Xp @ ( cS @ Xn ) ) )
& ( Xp @ Xx ) )
=> ( Xp @ Xz ) ) ),
inference('cnf.neg',[status(esa)],[cTHM577_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( !!
@ ^ [Y3: $i > $o] :
( ( ( !!
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( cS @ Y4 ) ) ) )
& ( Y3 @ Y1 ) )
=> ( Y3 @ Y2 ) ) )
& ( !!
@ ^ [Y3: $i > $o] :
( ( ( !!
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( cS @ Y4 ) ) ) )
& ( Y3 @ Y0 ) )
=> ( Y3 @ Y1 ) ) ) )
=> ( !!
@ ^ [Y3: $i > $o] :
( ( ( !!
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( cS @ Y4 ) ) ) )
& ( Y3 @ Y0 ) )
=> ( Y3 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( !!
@ ^ [Y2: $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( cS @ Y3 ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) )
& ( !!
@ ^ [Y2: $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( cS @ Y3 ) ) ) )
& ( Y2 @ '#sk1' ) )
=> ( Y2 @ Y0 ) ) ) )
=> ( !!
@ ^ [Y2: $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( cS @ Y3 ) ) ) )
& ( Y2 @ '#sk1' ) )
=> ( Y2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( ( !!
@ ^ [Y1: $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cS @ Y2 ) ) ) )
& ( Y1 @ '#sk2' ) )
=> ( Y1 @ Y0 ) ) )
& ( !!
@ ^ [Y1: $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cS @ Y2 ) ) ) )
& ( Y1 @ '#sk1' ) )
=> ( Y1 @ '#sk2' ) ) ) )
=> ( !!
@ ^ [Y1: $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cS @ Y2 ) ) ) )
& ( Y1 @ '#sk1' ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ( ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ '#sk2' ) )
=> ( Y0 @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ '#sk1' ) )
=> ( Y0 @ '#sk2' ) ) ) )
=> ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ '#sk1' ) )
=> ( Y0 @ '#sk3' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ '#sk1' ) )
=> ( Y0 @ '#sk3' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
~ ( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( cS @ Y0 ) ) ) )
& ( '#sk4' @ '#sk1' ) )
=> ( '#sk4' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
( ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( cS @ Y0 ) ) ) )
& ( '#sk4' @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl17,plain,
( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( cS @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl21,plain,
! [X2: $i] :
( ( '#sk4' @ X2 )
=> ( '#sk4' @ ( cS @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl24,plain,
! [X2: $i] :
( ~ ( '#sk4' @ X2 )
| ( '#sk4' @ ( cS @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl4,plain,
( ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ '#sk2' ) )
=> ( Y0 @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ '#sk1' ) )
=> ( Y0 @ '#sk2' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ '#sk1' ) )
=> ( Y0 @ '#sk2' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl11,plain,
! [X2: $i > $o] :
( ( ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X2 @ ( cS @ Y0 ) ) ) )
& ( X2 @ '#sk1' ) )
=> ( X2 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( cS @ Y0 ) ) ) )
& ( '#sk4' @ '#sk1' ) )
=> ( '#sk4' @ '#sk2' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl18,plain,
'#sk4' @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ '#sk2' ) )
=> ( Y0 @ '#sk3' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: $i > $o] :
( ( ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X2 @ ( cS @ Y0 ) ) ) )
& ( X2 @ '#sk2' ) )
=> ( X2 @ '#sk3' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10,plain,
( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( cS @ Y0 ) ) ) )
& ( '#sk4' @ '#sk2' ) )
=> ( '#sk4' @ '#sk3' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl14,plain,
~ ( '#sk4' @ '#sk3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl29,plain,
( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( cS @ Y0 ) ) ) )
& ( '#sk4' @ '#sk2' ) )
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl14]) ).
thf(zip_derived_cl30,plain,
( (~)
@ ( ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( cS @ Y0 ) ) ) )
& ( '#sk4' @ '#sk2' ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl31,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( cS @ Y0 ) ) ) )
& ( '#sk4' @ '#sk2' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl32,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( cS @ Y0 ) ) ) )
| ~ ( '#sk4' @ '#sk2' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl33,plain,
( ~ ( ( '#sk4' @ ( '#sk15' @ '#sk4' ) )
=> ( '#sk4' @ ( cS @ ( '#sk15' @ '#sk4' ) ) ) )
| ~ ( '#sk4' @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl35,plain,
( ~ ( '#sk4' @ ( cS @ ( '#sk15' @ '#sk4' ) ) )
| ~ ( '#sk4' @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl24_001,plain,
! [X2: $i] :
( ~ ( '#sk4' @ X2 )
| ( '#sk4' @ ( cS @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl36,plain,
( ~ ( '#sk4' @ '#sk2' )
| ~ ( '#sk4' @ ( '#sk15' @ '#sk4' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl24]) ).
thf(zip_derived_cl34,plain,
( ( '#sk4' @ ( '#sk15' @ '#sk4' ) )
| ~ ( '#sk4' @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl40,plain,
~ ( '#sk4' @ '#sk2' ),
inference(clc,[status(thm)],[zip_derived_cl36,zip_derived_cl34]) ).
thf(zip_derived_cl41,plain,
( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( cS @ Y0 ) ) ) )
& $true )
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl18,zip_derived_cl40]) ).
thf(zip_derived_cl42,plain,
( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( cS @ Y0 ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl43,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( cS @ Y0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl44,plain,
~ ( ( '#sk4' @ ( '#sk15' @ '#sk4' ) )
=> ( '#sk4' @ ( cS @ ( '#sk15' @ '#sk4' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl46,plain,
~ ( '#sk4' @ ( cS @ ( '#sk15' @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl48,plain,
~ ( '#sk4' @ ( '#sk15' @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl46]) ).
thf(zip_derived_cl45,plain,
'#sk4' @ ( '#sk15' @ '#sk4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl51,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV070^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KNajiswhQ7 true
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 03:40:16 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.21/0.69 % Total configuration time : 828
% 0.21/0.69 % Estimated wc time : 1656
% 0.21/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.79 % Solved by lams/35_full_unif4.sh.
% 0.21/0.79 % done 7 iterations in 0.019s
% 0.21/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.79 % SZS output start Refutation
% See solution above
% 0.21/0.79
% 0.21/0.79
% 0.21/0.79 % Terminating...
% 1.54/0.87 % Runner terminated.
% 1.71/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------