TSTP Solution File: SEU510^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU510^1 : 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.jOsik0TOEf true
% Computer : n018.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 19:13:25 EDT 2023
% Result : Theorem 1.42s 0.96s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 48
% Syntax : Number of formulae : 75 ( 26 unt; 34 typ; 0 def)
% Number of atoms : 180 ( 24 equ; 0 cnn)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 431 ( 31 ~; 23 |; 0 &; 265 @)
% ( 4 <=>; 108 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 35 ( 35 >; 0 *; 0 +; 0 <<)
% Number of symbols : 36 ( 34 usr; 30 con; 0-2 aty)
% Number of variables : 148 ( 41 ^; 103 !; 4 ?; 148 :)
% Comments :
%------------------------------------------------------------------------------
thf(setadjoinAx_type,type,
setadjoinAx: $o ).
thf(setunionAx_type,type,
setunionAx: $o ).
thf(omegaSAx_type,type,
omegaSAx: $o ).
thf(wellorderingAx_type,type,
wellorderingAx: $o ).
thf(emptysetE_type,type,
emptysetE: $o ).
thf(nonemptyE1_type,type,
nonemptyE1: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(emptyI_type,type,
emptyI: $o ).
thf(sk__16_type,type,
sk__16: $i > $o ).
thf(dsetconstrEL_type,type,
dsetconstrEL: $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(powersetAx_type,type,
powersetAx: $o ).
thf(notinemptyset_type,type,
notinemptyset: $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(setext_type,type,
setext: $o ).
thf(setbeta_type,type,
setbeta: $o ).
thf(emptysetimpfalse_type,type,
emptysetimpfalse: $o ).
thf(exuE1_type,type,
exuE1: $o ).
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(omega0Ax_type,type,
omega0Ax: $o ).
thf(prop2setE_type,type,
prop2setE: $o ).
thf(setextAx_type,type,
setextAx: $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(descrp_type,type,
descrp: $o ).
thf(foundationAx_type,type,
foundationAx: $o ).
thf(emptysetAx_type,type,
emptysetAx: $o ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(noeltsimpempty_type,type,
noeltsimpempty: $o ).
thf(exuE3e_type,type,
exuE3e: $o ).
thf(dsetconstrI_type,type,
dsetconstrI: $o ).
thf(replAx_type,type,
replAx: $o ).
thf(nonempty_type,type,
nonempty: $i > $o ).
thf(omegaIndAx_type,type,
omegaIndAx: $o ).
thf(nonemptyE1,axiom,
( nonemptyE1
= ( ! [A: $i] :
( ( nonempty @ A )
=> ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
thf('0',plain,
( nonemptyE1
= ( ! [X4: $i] :
( ( nonempty @ X4 )
=> ? [X6: $i] : ( in @ X6 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(nonempty,axiom,
( nonempty
= ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
thf('1',plain,
( nonempty
= ( ^ [Xx: $i] : ( Xx != emptyset ) ) ),
inference(simplify_rw_rule,[status(thm)],[nonempty]) ).
thf('2',plain,
( nonempty
= ( ^ [V_1: $i] : ( V_1 != emptyset ) ) ),
define([status(thm)]) ).
thf(setbeta,axiom,
( setbeta
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) ) ) ) ).
thf('3',plain,
( setbeta
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
<=> ( X6 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrER,axiom,
( dsetconstrER
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) ) ) ).
thf('4',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(dsetconstrEL,axiom,
( dsetconstrEL
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf('5',plain,
( dsetconstrEL
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) ) ) ),
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('6',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(nonemptyI,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( nonempty
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
=> ( ! [X10: $i,X12: $i > $o,X14: $i] :
( ( in @ X14
@ ( dsetconstr @ X10
@ ^ [V_2: $i] : ( X12 @ V_2 ) ) )
=> ( in @ X14 @ X10 ) )
=> ( ! [X16: $i,X18: $i > $o,X20: $i] :
( ( in @ X20
@ ( dsetconstr @ X16
@ ^ [V_3: $i] : ( X18 @ V_3 ) ) )
=> ( X18 @ X20 ) )
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( ! [X22: $i,X24: $i > $o,X26: $i] :
( ( in @ X26 @ X22 )
=> ( ( in @ X26
@ ( dsetconstr @ X22
@ ^ [V_4: $i] : ( X24 @ V_4 ) ) )
<=> ( X24 @ X26 ) ) )
=> ( ! [X28: $i] :
( ( X28 != emptyset )
=> ? [X30: $i] : ( in @ X30 @ X28 ) )
=> ! [X32: $i,X34: $i > $o,X36: $i] :
( ( in @ X36 @ X32 )
=> ( ( X34 @ X36 )
=> ( ( dsetconstr @ X32
@ ^ [V_5: $i] : ( X34 @ V_5 ) )
!= emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
=> ( ! [X10: $i,X12: $i > $o,X14: $i] :
( ( in @ X14
@ ( dsetconstr @ X10
@ ^ [V_2: $i] : ( X12 @ V_2 ) ) )
=> ( in @ X14 @ X10 ) )
=> ( ! [X16: $i,X18: $i > $o,X20: $i] :
( ( in @ X20
@ ( dsetconstr @ X16
@ ^ [V_3: $i] : ( X18 @ V_3 ) ) )
=> ( X18 @ X20 ) )
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( ! [X22: $i,X24: $i > $o,X26: $i] :
( ( in @ X26 @ X22 )
=> ( ( in @ X26
@ ( dsetconstr @ X22
@ ^ [V_4: $i] : ( X24 @ V_4 ) ) )
<=> ( X24 @ X26 ) ) )
=> ( ! [X28: $i] :
( ( X28 != emptyset )
=> ? [X30: $i] : ( in @ X30 @ X28 ) )
=> ! [X32: $i,X34: $i > $o,X36: $i] :
( ( in @ X36 @ X32 )
=> ( ( X34 @ X36 )
=> ( ( dsetconstr @ X32
@ ^ [V_5: $i] : ( X34 @ V_5 ) )
!= emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15,plain,
in @ sk__17 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl14,plain,
( ( dsetconstr @ sk__15
@ ^ [Y0: $i] : ( sk__16 @ Y0 ) )
= emptyset ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl61,plain,
( ( dsetconstr @ sk__15 @ sk__16 )
= emptyset ),
inference(ho_norm,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl6,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X1 )
| ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) )
| ~ ( in @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl30,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X1 )
| ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) )
| ~ ( in @ X1 @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ( in @ X0 @ emptyset )
| ~ ( in @ X0 @ sk__15 )
| ~ ( sk__16 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl255,plain,
( ~ ( sk__16 @ sk__17 )
| ( in @ sk__17 @ emptyset ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl63]) ).
thf(zip_derived_cl16,plain,
sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl268,plain,
in @ sk__17 @ emptyset,
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl16]) ).
thf(zip_derived_cl17,plain,
! [X9: $i] :
( ( in @ ( sk__14 @ X9 ) @ X9 )
| ( X9 = emptyset ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X3: $i > $o,X4: $i,X5: $i] :
( ( X3 @ X4 )
| ~ ( in @ X4
@ ( dsetconstr @ X5
@ ^ [Y0: $i] : ( X3 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl94,plain,
! [X3: $i > $o,X4: $i,X5: $i] :
( ( X3 @ X4 )
| ~ ( in @ X4 @ ( dsetconstr @ X5 @ X3 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl191,plain,
! [X0: $i > $o,X1: $i] :
( ( ( dsetconstr @ X1 @ X0 )
= emptyset )
| ( X0 @ ( sk__14 @ ( dsetconstr @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl94]) ).
thf(zip_derived_cl30_001,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X1 )
| ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) )
| ~ ( in @ X1 @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl94_002,plain,
! [X3: $i > $o,X4: $i,X5: $i] :
( ( X3 @ X4 )
| ~ ( in @ X4 @ ( dsetconstr @ X5 @ X3 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl94_003,plain,
! [X3: $i > $o,X4: $i,X5: $i] :
( ( X3 @ X4 )
| ~ ( in @ X4 @ ( dsetconstr @ X5 @ X3 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl125,plain,
! [X0: $o,X1: $i,X2: $i] :
( ( ^ [Y0: $i] : X0
@ X1 )
| ~ ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] :
( in
@ ( ^ [Y1: $i] : Y1
@ Y0 )
@ ( ^ [Y1: $i] :
( dsetconstr
@ ( ^ [Y2: $i] : Y2
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : X0
@ Y1 ) )
@ Y0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl94,zip_derived_cl94]) ).
thf(zip_derived_cl151,plain,
! [X0: $o,X1: $i,X2: $i] :
( X0
| ~ ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] :
( in @ Y0
@ ( dsetconstr @ Y0
@ ^ [Y1: $i] : X0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl125]) ).
thf(zip_derived_cl296,plain,
! [X0: $o,X1: $i,X2: $i] :
( ~ ( in @ X2 @ X1 )
| ~ ( ^ [Y0: $i] :
( in @ Y0
@ ( dsetconstr @ Y0
@ ^ [Y1: $i] : X0 ) )
@ X2 )
| X0 ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl151]) ).
thf(zip_derived_cl302,plain,
! [X0: $o,X1: $i,X2: $i] :
( ~ ( in @ X2 @ X1 )
| ~ ( in @ X2
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : X0 ) )
| X0 ),
inference(ho_norm,[status(thm)],[zip_derived_cl296]) ).
thf(zip_derived_cl306,plain,
! [X0: $o,X1: $i] :
( X0
| ~ ( in @ X1
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : X0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl302]) ).
thf(zip_derived_cl335,plain,
! [X0: $i] :
~ ( in @ X0
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : $false ) ),
inference(false_elim,[status(thm)],[zip_derived_cl306]) ).
thf(zip_derived_cl344,plain,
! [X0: $i] :
( ~ ( in @ X0 @ emptyset )
| ( ^ [Y0: $i] : $false
@ ( sk__14
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : $false ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl191,zip_derived_cl335]) ).
thf(zip_derived_cl349,plain,
! [X0: $i] :
~ ( in @ X0 @ emptyset ),
inference(ho_norm,[status(thm)],[zip_derived_cl344]) ).
thf(zip_derived_cl355,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl349]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU510^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jOsik0TOEf true
% 0.14/0.36 % Computer : n018.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 14:02:12 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/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
% 0.23/0.66 % Total configuration time : 828
% 0.23/0.66 % Estimated wc time : 1656
% 0.23/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.23/0.82 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.05/0.83 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.42/0.95 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.42/0.96 % Solved by lams/40_c_ic.sh.
% 1.42/0.96 % done 54 iterations in 0.165s
% 1.42/0.96 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.42/0.96 % SZS output start Refutation
% See solution above
% 1.42/0.96
% 1.42/0.96
% 1.42/0.96 % Terminating...
% 1.71/1.13 % Runner terminated.
% 1.71/1.13 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------