TSTP Solution File: SEV083^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV083^5 : 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.YWSigvhNSB true
% Computer : n029.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 19:59:32 EDT 2023
% Result : Theorem 1.71s 1.06s
% Output : Refutation 1.71s
% 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 : 165 ( 53 equ; 4 cnn)
% Maximal formula atoms : 10 ( 6 avg)
% Number of connectives : 169 ( 21 ~; 14 |; 23 &; 75 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 51 ( 51 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 3 usr; 5 con; 0-2 aty)
% ( 24 !!; 1 ??; 0 @@+; 0 @@-)
% Number of variables : 83 ( 69 ^; 12 !; 2 ?; 83 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk425_type',type,
'#sk425': $i > $o ).
thf('#sk423_type',type,
'#sk423': $i > $o ).
thf('#sk424_type',type,
'#sk424': $i > $o ).
thf(cTHM120_3_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 ) ) ) ).
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 ) ) ),
inference('cnf.neg',[status(esa)],[cTHM120_3_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 ) ) ) ) ) ) ),
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 ) ) ) ) ) ),
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 ) ) ) ) ) ),
inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl43,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_cl44,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_cl43]) ).
thf(zip_derived_cl45,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_cl44]) ).
thf(zip_derived_cl46,plain,
( ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( ( Y0 = Y1 )
& ( '#sk423' = Y0 ) )
=> ( '#sk423' = Y1 ) ) ) )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl47,plain,
( ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( '#sk424' = Y0 )
& ( '#sk423' = '#sk424' ) )
=> ( '#sk423' = Y0 ) ) )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl48,plain,
( ~ ( ( ( '#sk424' = '#sk425' )
& ( '#sk423' = '#sk424' ) )
=> ( '#sk423' = '#sk425' ) )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl49,plain,
( ( ( '#sk424' = '#sk425' )
& ( '#sk423' = '#sk424' ) )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl52,plain,
( ( '#sk423' = '#sk424' )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl55,plain,
( ( '#sk423' = '#sk424' )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl51,plain,
( ( '#sk424' = '#sk425' )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl54,plain,
( ( '#sk424' = '#sk425' )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl129,plain,
! [X1: $i] :
( ( ( ^ [Y0: $i] : $true
@ X1 )
= ( ^ [Y0: $i] : $false
@ X1 ) )
| ( '#sk424' = '#sk425' ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl130,plain,
'#sk424' = '#sk425',
inference(ho_norm,[status(thm)],[zip_derived_cl129]) ).
thf(zip_derived_cl50,plain,
( ( '#sk423' != '#sk425' )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl53,plain,
( ( '#sk423' != '#sk425' )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl123,plain,
! [X1: $i] :
( ( ( ^ [Y0: $i] : $true
@ X1 )
= ( ^ [Y0: $i] : $false
@ X1 ) )
| ( '#sk423' != '#sk425' ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl124,plain,
'#sk423' != '#sk425',
inference(ho_norm,[status(thm)],[zip_derived_cl123]) ).
thf(zip_derived_cl133,plain,
'#sk423' != '#sk424',
inference('sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl124]) ).
thf(zip_derived_cl261,plain,
( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl55,zip_derived_cl133]) ).
thf(zip_derived_cl262,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : $true
@ X1 )
= ( ^ [Y0: $i] : $false
@ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl261]) ).
thf(zip_derived_cl263,plain,
$false,
inference(ho_norm,[status(thm)],[zip_derived_cl262]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV083^5 : 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.YWSigvhNSB true
% 0.13/0.35 % Computer : n029.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 02:41:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.21/0.67 % Total configuration time : 828
% 0.21/0.67 % Estimated wc time : 1656
% 0.21/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.71/1.06 % Solved by lams/30_sp5.sh.
% 1.71/1.06 % done 14 iterations in 0.266s
% 1.71/1.06 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.71/1.06 % SZS output start Refutation
% See solution above
% 1.71/1.06
% 1.71/1.06
% 1.71/1.06 % Terminating...
% 1.72/1.18 % Runner terminated.
% 1.72/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------