TSTP Solution File: SEU534^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU534^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4gH0AWztGo true
% Computer : n013.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 19:13:38 EDT 2023
% Result : Theorem 0.58s 0.82s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 43 ( 12 unt; 8 typ; 0 def)
% Number of atoms : 133 ( 15 equ; 0 cnn)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 368 ( 27 ~; 8 |; 11 &; 230 @)
% ( 0 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 8 usr; 8 con; 0-2 aty)
% ( 32 !!; 7 ??; 0 @@+; 0 @@-)
% Number of variables : 94 ( 48 ^; 43 !; 3 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk4_type',type,
'#sk4': $i > $o ).
thf('#sk7_type',type,
'#sk7': $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(emptysetE_type,type,
emptysetE: $o ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(dsetconstrI_type,type,
dsetconstrI: $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(emptysetE,axiom,
( emptysetE
= ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi ) ) ) ).
thf('0',plain,
( emptysetE
= ( ! [X4: $i] :
( ( in @ X4 @ emptyset )
=> ! [X6: $o] : X6 ) ) ),
define([status(thm)]) ).
thf(dsetconstrI,axiom,
( dsetconstrI
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
thf('1',plain,
( dsetconstrI
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(emptyE1,conjecture,
( dsetconstrI
=> ( emptysetE
=> ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( Xphi @ Xx )
& ( in @ Xx @ A ) )
=> ( ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= emptyset )
=> $false ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
=> ( ! [X10: $i] :
( ( in @ X10 @ emptyset )
=> ! [X12: $o] : X12 )
=> ! [X14: $i,X16: $i > $o] :
( ? [X18: $i] :
( ( in @ X18 @ X14 )
& ( X16 @ X18 ) )
=> ( ( dsetconstr @ X14
@ ^ [V_2: $i] : ( X16 @ V_2 ) )
!= emptyset ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
=> ( ! [X10: $i] :
( ( in @ X10 @ emptyset )
=> ! [X12: $o] : X12 )
=> ! [X14: $i,X16: $i > $o] :
( ? [X18: $i] :
( ( in @ X18 @ X14 )
& ( X16 @ X18 ) )
=> ( ( dsetconstr @ X14
@ ^ [V_2: $i] : ( X16 @ V_2 ) )
!= emptyset ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( Y1 @ Y2 )
=> ( in @ Y2
@ ( dsetconstr @ Y0
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ emptyset )
=> ( !!
@ ^ [Y1: $o] : Y1 ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
& ( Y1 @ Y2 ) ) )
=> ( ( dsetconstr @ Y0
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
!= emptyset ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( Y1 @ Y2 )
=> ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ emptyset )
=> ( !!
@ ^ [Y1: $o] : Y1 ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
& ( Y1 @ Y2 ) ) )
=> ( ( dsetconstr @ Y0 @ Y1 )
!= emptyset ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ emptyset )
=> ( !!
@ ^ [Y1: $o] : Y1 ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
& ( Y1 @ Y2 ) ) )
=> ( ( dsetconstr @ Y0 @ Y1 )
!= emptyset ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
& ( Y1 @ Y2 ) ) )
=> ( ( dsetconstr @ Y0 @ Y1 )
!= emptyset ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ '#sk1' )
& ( Y0 @ Y1 ) ) )
=> ( ( dsetconstr @ '#sk1' @ Y0 )
!= emptyset ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
~ ( ( ??
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk1' )
& ( '#sk4' @ Y0 ) ) )
=> ( ( dsetconstr @ '#sk1' @ '#sk4' )
!= emptyset ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl16,plain,
( ??
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk1' )
& ( '#sk4' @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
( ( in @ '#sk7' @ '#sk1' )
& ( '#sk4' @ '#sk7' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl21,plain,
in @ '#sk7' @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl17,plain,
( ( dsetconstr @ '#sk1' @ '#sk4' )
!= emptyset ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl20,plain,
( ( dsetconstr @ '#sk1' @ '#sk4' )
= emptyset ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( Y1 @ Y2 )
=> ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( ( Y0 @ Y1 )
=> ( in @ Y1 @ ( dsetconstr @ X2 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: $i,X4: $i > $o] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( X4 @ Y0 )
=> ( in @ Y0 @ ( dsetconstr @ X2 @ X4 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X0 )
=> ( ( '#sk4' @ Y0 )
=> ( in @ Y0 @ ( dsetconstr @ X0 @ '#sk4' ) ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ( ( '#sk4' @ X2 )
=> ( in @ X2 @ ( dsetconstr @ X0 @ '#sk4' ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X2: $i] :
( ~ ( in @ X2 @ X0 )
| ( ( '#sk4' @ X2 )
=> ( in @ X2 @ ( dsetconstr @ X0 @ '#sk4' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X2: $i] :
( ~ ( '#sk4' @ X2 )
| ( in @ X2 @ ( dsetconstr @ X0 @ '#sk4' ) )
| ~ ( in @ X2 @ X0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ( in @ X0 @ emptyset )
| ~ ( in @ X0 @ '#sk1' )
| ~ ( '#sk4' @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl31]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ emptyset )
=> ( !!
@ ^ [Y1: $o] : Y1 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
! [X2: $i] :
( ( in @ X2 @ emptyset )
=> ( !!
@ ^ [Y0: $o] : Y0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] :
( ~ ( in @ X2 @ emptyset )
| ( !!
@ ^ [Y0: $o] : Y0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $o] :
( X4
| ~ ( in @ X2 @ emptyset ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl24,plain,
! [X0: $i] :
~ ( in @ X0 @ emptyset ),
inference('ho.refine',[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl34,plain,
! [X0: $i] :
( ~ ( '#sk4' @ X0 )
| ~ ( in @ X0 @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl32,zip_derived_cl24]) ).
thf(zip_derived_cl36,plain,
~ ( '#sk4' @ '#sk7' ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl34]) ).
thf(zip_derived_cl22,plain,
'#sk4' @ '#sk7',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl39,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU534^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4gH0AWztGo true
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 13:35:02 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in HO mode
% 0.23/0.70 % Total configuration time : 828
% 0.23/0.70 % Estimated wc time : 1656
% 0.23/0.70 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.79 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.80 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.23/0.80 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.80 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.23/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.82 % Solved by lams/35_full_unif4.sh.
% 0.58/0.82 % done 6 iterations in 0.015s
% 0.58/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.82 % SZS output start Refutation
% See solution above
% 0.58/0.82
% 0.58/0.82
% 0.58/0.82 % Terminating...
% 1.92/0.88 % Runner terminated.
% 1.92/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------