TSTP Solution File: SEV087^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV087^5 : 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.62lyhEJpWd 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 19:59:33 EDT 2023
% Result : Theorem 5.07s 1.36s
% Output : Refutation 5.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 6 unt; 3 typ; 0 def)
% Number of atoms : 178 ( 60 equ; 4 cnn)
% Maximal formula atoms : 15 ( 6 avg)
% Number of connectives : 212 ( 21 ~; 14 |; 33 &; 97 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 61 ( 61 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 3 usr; 5 con; 0-2 aty)
% ( 30 !!; 1 ??; 0 @@+; 0 @@-)
% Number of variables : 93 ( 75 ^; 16 !; 2 ?; 93 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk1792_type',type,
'#sk1792': $i > $o ).
thf('#sk1791_type',type,
'#sk1791': $i > $o ).
thf('#sk1793_type',type,
'#sk1793': $i > $o ).
thf(cTHM120H_pme,conjecture,
? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [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 ) )
=> ( X = Y ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [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 ) )
=> ( X = Y ) ) ),
inference('cnf.neg',[status(esa)],[cTHM120H_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ??
@ ^ [Y0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( (~)
@ ( Y0
@ ^ [Y1: $i] : $true
@ ^ [Y1: $i] : $false ) )
& ( !!
@ ^ [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 ) )
=> ( Y1 = Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
~ ( ( (~)
@ ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false ) )
& ( !!
@ ^ [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 ) )
=> ( Y0 = Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
~ ( ( (~)
@ ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) )
& ( !!
@ ^ [Y0: $i > $o] : ( Y0 = Y0 ) )
& ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( Y1 = Y2 )
& ( Y0 = Y1 ) )
=> ( Y0 = Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( ( Y1 = Y0 )
& ( Y0 = Y1 ) )
=> ( Y0 = Y1 ) ) ) ) ),
inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl106,plain,
~ ( ( (~)
@ ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) )
& ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( Y1 = Y2 )
& ( Y0 = Y1 ) )
=> ( Y0 = Y2 ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl107,plain,
( ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( Y1 = Y2 )
& ( Y0 = Y1 ) )
=> ( Y0 = Y2 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl106]) ).
thf(zip_derived_cl108,plain,
( ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( Y1 = Y2 )
& ( Y0 = Y1 ) )
=> ( Y0 = Y2 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl109,plain,
( ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( ( Y0 = Y1 )
& ( '#sk1791' = Y0 ) )
=> ( '#sk1791' = Y1 ) ) ) )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl110,plain,
( ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( '#sk1792' = Y0 )
& ( '#sk1791' = '#sk1792' ) )
=> ( '#sk1791' = Y0 ) ) )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl109]) ).
thf(zip_derived_cl111,plain,
( ~ ( ( ( '#sk1792' = '#sk1793' )
& ( '#sk1791' = '#sk1792' ) )
=> ( '#sk1791' = '#sk1793' ) )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl110]) ).
thf(zip_derived_cl112,plain,
( ( ( '#sk1792' = '#sk1793' )
& ( '#sk1791' = '#sk1792' ) )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl115,plain,
( ( '#sk1791' = '#sk1792' )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl118,plain,
( ( '#sk1791' = '#sk1792' )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl115]) ).
thf(zip_derived_cl114,plain,
( ( '#sk1792' = '#sk1793' )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl117,plain,
( ( '#sk1792' = '#sk1793' )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl180,plain,
! [X1: $i] :
( ( ( ^ [Y0: $i] : $true
@ X1 )
= ( ^ [Y0: $i] : $false
@ X1 ) )
| ( '#sk1792' = '#sk1793' ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl181,plain,
'#sk1792' = '#sk1793',
inference(ho_norm,[status(thm)],[zip_derived_cl180]) ).
thf(zip_derived_cl113,plain,
( ( '#sk1791' != '#sk1793' )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl116,plain,
( ( '#sk1791' != '#sk1793' )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl153,plain,
! [X1: $i] :
( ( ( ^ [Y0: $i] : $true
@ X1 )
= ( ^ [Y0: $i] : $false
@ X1 ) )
| ( '#sk1791' != '#sk1793' ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl116]) ).
thf(zip_derived_cl154,plain,
'#sk1791' != '#sk1793',
inference(ho_norm,[status(thm)],[zip_derived_cl153]) ).
thf(zip_derived_cl185,plain,
'#sk1791' != '#sk1792',
inference('sup-',[status(thm)],[zip_derived_cl181,zip_derived_cl154]) ).
thf(zip_derived_cl206,plain,
( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl118,zip_derived_cl185]) ).
thf(zip_derived_cl207,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : $true
@ X1 )
= ( ^ [Y0: $i] : $false
@ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl206]) ).
thf(zip_derived_cl208,plain,
$false,
inference(ho_norm,[status(thm)],[zip_derived_cl207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV087^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.62lyhEJpWd true
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 03:42:46 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.37 % Running in HO mode
% 0.23/0.67 % Total configuration time : 828
% 0.23/0.67 % Estimated wc time : 1656
% 0.23/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 5.07/1.36 % Solved by lams/30_sp5.sh.
% 5.07/1.36 % done 11 iterations in 0.538s
% 5.07/1.36 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.07/1.36 % SZS output start Refutation
% See solution above
% 5.07/1.36
% 5.07/1.36
% 5.07/1.36 % Terminating...
% 6.38/1.47 % Runner terminated.
% 6.38/1.49 % Zipperpin 1.5 exiting
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