TSTP Solution File: SEU924^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU924^5 : 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.Mh4CotHVRa true
% Computer : n005.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 19:18:51 EDT 2023
% Result : Theorem 1.24s 0.80s
% Output : Refutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 15 unt; 4 typ; 0 def)
% Number of atoms : 34 ( 14 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 150 ( 16 ~; 8 |; 8 &; 77 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 43 ( 43 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 4 usr; 5 con; 0-2 aty)
% ( 18 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 63 ( 45 ^; 18 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk1_type',type,
'#sk1': $i ).
thf('#sk2_type',type,
'#sk2': $i > $i ).
thf('#sk3_type',type,
'#sk3': $i ).
thf('#sk7_type',type,
'#sk7': ( ( $i > $i ) > $o ) > $i > $i ).
thf(cTHM134_pme,conjecture,
! [Xz: $i,Xg: $i > $i] :
( ! [Xp: ( $i > $i ) > $o] :
( ( ! [Xj: $i > $i] :
( ( Xp @ Xj )
=> ( Xp
@ ^ [Xx: $i] : Xz ) )
& ( Xp
@ ^ [Xx: $i] : Xz ) )
=> ( Xp @ Xg ) )
=> ! [Xx: $i] :
( ( Xg @ Xx )
= Xz ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xz: $i,Xg: $i > $i] :
( ! [Xp: ( $i > $i ) > $o] :
( ( ! [Xj: $i > $i] :
( ( Xp @ Xj )
=> ( Xp
@ ^ [Xx: $i] : Xz ) )
& ( Xp
@ ^ [Xx: $i] : Xz ) )
=> ( Xp @ Xg ) )
=> ! [Xx: $i] :
( ( Xg @ Xx )
= Xz ) ),
inference('cnf.neg',[status(esa)],[cTHM134_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $i] :
( ( !!
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( !!
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : Y0 ) ) )
& ( Y2
@ ^ [Y3: $i] : Y0 ) )
=> ( Y2 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
= Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i > $i] :
( ( !!
@ ^ [Y1: ( $i > $i ) > $o] :
( ( ( !!
@ ^ [Y2: $i > $i] :
( ( Y1 @ Y2 )
=> ( Y1
@ ^ [Y3: $i] : '#sk1' ) ) )
& ( Y1
@ ^ [Y2: $i] : '#sk1' ) )
=> ( Y1 @ Y0 ) ) )
=> ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
= '#sk1' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: ( $i > $i ) > $o] :
( ( ( !!
@ ^ [Y1: $i > $i] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i] : '#sk1' ) ) )
& ( Y0
@ ^ [Y1: $i] : '#sk1' ) )
=> ( Y0 @ '#sk2' ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
= '#sk1' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
= '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
( ( '#sk2' @ '#sk3' )
!= '#sk1' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
( ( '#sk2' @ '#sk3' )
!= '#sk1' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: ( $i > $i ) > $o] :
( ( ( !!
@ ^ [Y1: $i > $i] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i] : '#sk1' ) ) )
& ( Y0
@ ^ [Y1: $i] : '#sk1' ) )
=> ( Y0 @ '#sk2' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
! [X2: ( $i > $i ) > $o] :
( ( ( !!
@ ^ [Y0: $i > $i] :
( ( X2 @ Y0 )
=> ( X2
@ ^ [Y1: $i] : '#sk1' ) ) )
& ( X2
@ ^ [Y0: $i] : '#sk1' ) )
=> ( X2 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: ( $i > $i ) > $o] :
( ~ ( ( !!
@ ^ [Y0: $i > $i] :
( ( X2 @ Y0 )
=> ( X2
@ ^ [Y1: $i] : '#sk1' ) ) )
& ( X2
@ ^ [Y0: $i] : '#sk1' ) )
| ( X2 @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
! [X2: ( $i > $i ) > $o] :
( ~ ( !!
@ ^ [Y0: $i > $i] :
( ( X2 @ Y0 )
=> ( X2
@ ^ [Y1: $i] : '#sk1' ) ) )
| ~ ( X2
@ ^ [Y0: $i] : '#sk1' )
| ( X2 @ '#sk2' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl10,plain,
! [X2: ( $i > $i ) > $o] :
( ~ ( ( X2 @ ( '#sk7' @ X2 ) )
=> ( X2
@ ^ [Y0: $i] : '#sk1' ) )
| ( X2 @ '#sk2' )
| ~ ( X2
@ ^ [Y0: $i] : '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
! [X2: ( $i > $i ) > $o] :
( ~ ( ( X2 @ ( '#sk7' @ X2 ) )
=> $true )
| ( X2 @ '#sk2' )
| ~ ( X2
@ ^ [Y0: $i] : '#sk1' ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
! [X2: ( $i > $i ) > $o] :
( ( X2 @ '#sk2' )
| ~ ( X2
@ ^ [Y0: $i] : '#sk1' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl20,plain,
( ^ [Y0: $i > $i] :
( Y0
= ( ^ [Y1: $i] : '#sk1' ) )
@ '#sk2' ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl30,plain,
( '#sk2'
= ( ^ [Y0: $i] : '#sk1' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl31,plain,
( '#sk2'
= ( ^ [Y0: $i] : '#sk1' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl45,plain,
! [X1: $i] :
( ( '#sk2' @ X1 )
= ( ^ [Y0: $i] : '#sk1'
@ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl46,plain,
! [X1: $i] :
( ( '#sk2' @ X1 )
= '#sk1' ),
inference(ho_norm,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl47,plain,
'#sk1' != '#sk1',
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl46]) ).
thf(zip_derived_cl48,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU924^5 : 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.Mh4CotHVRa true
% 0.18/0.36 % Computer : n005.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Wed Aug 23 17:53:39 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.18/0.36 % Running portfolio for 300 s
% 0.18/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36 % Number of cores: 8
% 0.18/0.36 % Python version: Python 3.6.8
% 0.18/0.36 % Running in HO mode
% 0.22/0.65 % Total configuration time : 828
% 0.22/0.65 % Estimated wc time : 1656
% 0.22/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.24/0.80 % Solved by lams/35_full_unif4.sh.
% 1.24/0.80 % done 3 iterations in 0.029s
% 1.24/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.24/0.80 % SZS output start Refutation
% See solution above
% 1.24/0.80
% 1.24/0.80
% 1.24/0.80 % Terminating...
% 1.62/0.86 % Runner terminated.
% 1.62/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------