TSTP Solution File: SYO531^1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO531^1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TAmUTjIY4k 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 : Fri Sep 1 05:51:57 EDT 2023
% Result : Theorem 1.82s 1.01s
% Output : Refutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 10 unt; 6 typ; 0 def)
% Number of atoms : 53 ( 4 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 237 ( 12 ~; 4 |; 0 &; 179 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 91 ( 91 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 3 con; 0-3 aty)
% ( 3 !!; 30 ??; 0 @@+; 0 @@-)
% Number of variables : 99 ( 64 ^; 27 !; 8 ?; 99 :)
% Comments :
%------------------------------------------------------------------------------
thf(eps_type,type,
eps: ( $i > $o ) > $i ).
thf('#sk203_type',type,
'#sk203': ( $i > $i > $o ) > $i ).
thf('#sk39_type',type,
'#sk39': ( ( $i > $i > $o ) > $i ) > $i ).
thf(epsa_type,type,
epsa: ( $i > $i > $o ) > $i ).
thf('#sk27_type',type,
'#sk27': ( ( $i > $i > $o ) > $i ) > $i > $i > $o ).
thf('#sk33_type',type,
'#sk33': ( ( $i > $i > $o ) > $i ) > $i ).
thf(choiceax,axiom,
! [P: $i > $o] :
( ? [X: $i] : ( P @ X )
=> ( P @ ( eps @ P ) ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( Y0 @ ( eps @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[choiceax]) ).
thf(zip_derived_cl5,plain,
! [X2: $i > $o] :
( ( ??
@ ^ [Y0: $i] : ( X2 @ Y0 ) )
=> ( X2 @ ( eps @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
! [X0: $i > $i > $o] :
( ( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
=> ( ??
@ ^ [Y0: $i] :
( X0
@ ( eps
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] : ( X0 @ Y1 @ Y2 ) ) )
@ Y0 ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl39,plain,
! [X0: $i > $i > $o] :
( ~ ( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
| ( ??
@ ^ [Y0: $i] :
( X0
@ ( eps
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] : ( X0 @ Y1 @ Y2 ) ) )
@ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl40,plain,
! [X0: $i > $i > $o,X2: $i] :
( ~ ( ??
@ ^ [Y0: $i] : ( X0 @ X2 @ Y0 ) )
| ( ??
@ ^ [Y0: $i] :
( X0
@ ( eps
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] : ( X0 @ Y1 @ Y2 ) ) )
@ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl41,plain,
! [X0: $i > $i > $o,X2: $i,X4: $i] :
( ~ ( X0 @ X2 @ X4 )
| ( ??
@ ^ [Y0: $i] :
( X0
@ ( eps
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] : ( X0 @ Y1 @ Y2 ) ) )
@ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl42,plain,
! [X0: $i > $i > $o,X2: $i,X4: $i] :
( ( X0
@ ( eps
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
@ ( '#sk203' @ X0 ) )
| ~ ( X0 @ X2 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl41]) ).
thf(epsad,axiom,
( epsa
= ( ^ [R: $i > $i > $o] :
( eps
@ ^ [X: $i] :
? [Y: $i] : ( R @ X @ Y ) ) ) ) ).
thf(zip_derived_cl1,plain,
( epsa
= ( ^ [Y0: $i > $i > $o] :
( eps
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[epsad]) ).
thf(zip_derived_cl3,plain,
! [X1: $i > $i > $o] :
( ( epsa @ X1 )
= ( ^ [Y0: $i > $i > $o] :
( eps
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) )
@ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
! [X1: $i > $i > $o] :
( ( epsa @ X1 )
= ( eps
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( X1 @ Y0 @ Y1 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl3]) ).
thf(conj,conjecture,
? [Epsb: ( $i > $i > $o ) > $i] :
! [R: $i > $i > $o] :
( ? [X: $i,Y: $i] : ( R @ X @ Y )
=> ( R @ ( epsa @ R ) @ ( Epsb @ R ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [Epsb: ( $i > $i > $o ) > $i] :
! [R: $i > $i > $o] :
( ? [X: $i,Y: $i] : ( R @ X @ Y )
=> ( R @ ( epsa @ R ) @ ( Epsb @ R ) ) ),
inference('cnf.neg',[status(esa)],[conj]) ).
thf(zip_derived_cl2,plain,
~ ( ??
@ ^ [Y0: ( $i > $i > $o ) > $i] :
( !!
@ ^ [Y1: $i > $i > $o] :
( ( ??
@ ^ [Y2: $i] :
( ??
@ ^ [Y3: $i] : ( Y1 @ Y2 @ Y3 ) ) )
=> ( Y1 @ ( epsa @ Y1 ) @ ( Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13,plain,
! [X2: ( $i > $i > $o ) > $i] :
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ??
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) )
=> ( Y0 @ ( epsa @ Y0 ) @ ( X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl14,plain,
! [X2: ( $i > $i > $o ) > $i] :
~ ( ( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk27' @ X2 @ Y0 @ Y1 ) ) )
=> ( '#sk27' @ X2 @ ( epsa @ ( '#sk27' @ X2 ) ) @ ( X2 @ ( '#sk27' @ X2 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl16,plain,
! [X2: ( $i > $i > $o ) > $i] :
~ ( '#sk27' @ X2 @ ( epsa @ ( '#sk27' @ X2 ) ) @ ( X2 @ ( '#sk27' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl19,plain,
! [X0: ( $i > $i > $o ) > $i] :
~ ( '#sk27' @ X0
@ ( eps
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk27' @ X0 @ Y0 @ Y1 ) ) )
@ ( X0 @ ( '#sk27' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl16]) ).
thf(zip_derived_cl98,plain,
! [X0: $i,X1: $i] :
~ ( ^ [Y0: $i,Y1: $i] :
( '#sk27'
@ ( ^ [Y2: $i,Y3: $i,Y4: $i > $i > $o] :
( '#sk203'
@ ( ^ [Y5: $i > $i > $o,Y6: $i,Y7: $i] :
( Y5
@ ( ^ [Y8: $i > $i > $o,Y9: $i,Y10: $i] : Y9
@ Y5
@ Y6
@ Y7 )
@ ( ^ [Y8: $i > $i > $o,Y9: $i,Y10: $i] : Y10
@ Y5
@ Y6
@ Y7 ) )
@ Y4 ) )
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) )
@ X1
@ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl19]) ).
thf(zip_derived_cl104,plain,
! [X0: $i,X1: $i] :
~ ( '#sk27' @ '#sk203' @ X1 @ X0 ),
inference(ho_norm,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl15,plain,
! [X2: ( $i > $i > $o ) > $i] :
( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk27' @ X2 @ Y0 @ Y1 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl17,plain,
! [X2: ( $i > $i > $o ) > $i] :
( ??
@ ^ [Y0: $i] : ( '#sk27' @ X2 @ ( '#sk33' @ X2 ) @ Y0 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl18,plain,
! [X2: ( $i > $i > $o ) > $i] : ( '#sk27' @ X2 @ ( '#sk33' @ X2 ) @ ( '#sk39' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl106,plain,
$false,
inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO531^1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TAmUTjIY4k true
% 0.10/0.32 % Computer : n002.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Sat Aug 26 08:07:17 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.33 % Number of cores: 8
% 0.10/0.33 % Python version: Python 3.6.8
% 0.10/0.33 % Running in HO mode
% 0.15/0.60 % Total configuration time : 828
% 0.15/0.60 % Estimated wc time : 1656
% 0.15/0.60 % Estimated cpu time (8 cpus) : 207.0
% 0.15/0.66 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.15/0.68 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.15/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.15/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.15/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.15/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.15/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.36/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.52/0.83 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.82/1.01 % Solved by lams/35_full_unif4.sh.
% 1.82/1.01 % done 24 iterations in 0.306s
% 1.82/1.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.82/1.01 % SZS output start Refutation
% See solution above
% 1.82/1.01
% 1.82/1.01
% 1.82/1.01 % Terminating...
% 1.90/1.12 % Runner terminated.
% 1.95/1.12 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------