TSTP Solution File: SEU800^2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU800^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZgkOGb1fn2 true
% Computer : n027.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 19:17:52 EDT 2023
% Result : Theorem 1.07s 0.80s
% Output : Refutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 35 ( 13 unt; 9 typ; 0 def)
% Number of atoms : 74 ( 7 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 262 ( 10 ~; 2 |; 0 &; 202 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 6 con; 0-3 aty)
% ( 24 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 76 ( 39 ^; 37 !; 0 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(injective_type,type,
injective: $i > $i > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(injFuncSet_type,type,
injFuncSet: $i > $i > $i ).
thf(funcSet_type,type,
funcSet: $i > $i > $i ).
thf('#sk5_type',type,
'#sk5': $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(dsetconstrER,axiom,
( dsetconstrER
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) ) ) ).
thf('0',plain,
( dsetconstrER
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(injFuncSetFuncInj,conjecture,
( dsetconstrER
=> ! [Xx: $i,Xy: $i,Xf: $i] :
( ( in @ Xf @ ( injFuncSet @ Xx @ Xy ) )
=> ( injective @ Xx @ Xy @ Xf ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) )
=> ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ ( injFuncSet @ X10 @ X12 ) )
=> ( injective @ X10 @ X12 @ X14 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) )
=> ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ ( injFuncSet @ X10 @ X12 ) )
=> ( injective @ X10 @ X12 @ X14 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2
@ ( dsetconstr @ Y0
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( Y1 @ Y2 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( injFuncSet @ Y0 @ Y1 ) )
=> ( injective @ Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) )
=> ( Y1 @ Y2 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( injFuncSet @ Y0 @ Y1 ) )
=> ( injective @ Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl11,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( injFuncSet @ Y0 @ Y1 ) )
=> ( injective @ Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl13,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( injFuncSet @ '#sk1' @ Y0 ) )
=> ( injective @ '#sk1' @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl16,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( injFuncSet @ '#sk1' @ '#sk2' ) )
=> ( injective @ '#sk1' @ '#sk2' @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl18,plain,
~ ( ( in @ '#sk5' @ ( injFuncSet @ '#sk1' @ '#sk2' ) )
=> ( injective @ '#sk1' @ '#sk2' @ '#sk5' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl21,plain,
~ ( injective @ '#sk1' @ '#sk2' @ '#sk5' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(injFuncSet,axiom,
( injFuncSet
= ( ^ [A: $i,B: $i] :
( dsetconstr @ ( funcSet @ A @ B )
@ ^ [Xf: $i] : ( injective @ A @ B @ Xf ) ) ) ) ).
thf(zip_derived_cl0,plain,
( injFuncSet
= ( ^ [Y0: $i,Y1: $i] :
( dsetconstr @ ( funcSet @ Y0 @ Y1 )
@ ^ [Y2: $i] : ( injective @ Y0 @ Y1 @ Y2 ) ) ) ),
inference(cnf,[status(esa)],[injFuncSet]) ).
thf(zip_derived_cl2,plain,
( injFuncSet
= ( ^ [Y0: $i,Y1: $i] : ( dsetconstr @ ( funcSet @ Y0 @ Y1 ) @ ( injective @ Y0 @ Y1 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
! [X1: $i,X2: $i] :
( ( injFuncSet @ X1 @ X2 )
= ( ^ [Y0: $i,Y1: $i] : ( dsetconstr @ ( funcSet @ Y0 @ Y1 ) @ ( injective @ Y0 @ Y1 ) )
@ X1
@ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
! [X1: $i,X2: $i] :
( ( injFuncSet @ X1 @ X2 )
= ( dsetconstr @ ( funcSet @ X1 @ X2 ) @ ( injective @ X1 @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( dsetconstr @ X2 @ Y0 ) )
=> ( Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl14,plain,
! [X2: $i,X4: $i > $o] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( dsetconstr @ X2 @ X4 ) )
=> ( X4 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl17,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) )
=> ( X4 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl19,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ~ ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) )
| ( X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ ( injFuncSet @ X1 @ X0 ) )
| ( injective @ X1 @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl19]) ).
thf(zip_derived_cl20,plain,
in @ '#sk5' @ ( injFuncSet @ '#sk1' @ '#sk2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl35,plain,
injective @ '#sk1' @ '#sk2' @ '#sk5',
inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl20]) ).
thf(zip_derived_cl39,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU800^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZgkOGb1fn2 true
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 23 23:34:32 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.34 % Number of cores: 8
% 0.18/0.34 % Python version: Python 3.6.8
% 0.18/0.34 % Running in HO mode
% 0.20/0.67 % Total configuration time : 828
% 0.20/0.67 % Estimated wc time : 1656
% 0.20/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.07/0.80 % Solved by lams/35_full_unif4.sh.
% 1.07/0.80 % done 10 iterations in 0.022s
% 1.07/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.07/0.80 % SZS output start Refutation
% See solution above
% 1.07/0.80
% 1.07/0.80
% 1.07/0.80 % Terminating...
% 1.85/0.86 % Runner terminated.
% 1.85/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------