TSTP Solution File: SEU523^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU523^1 : 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.KXPJk7iwsT true
% Computer : n031.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 19:13:32 EDT 2023
% Result : Theorem 1.33s 0.86s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 55
% Syntax : Number of formulae : 70 ( 8 unt; 47 typ; 0 def)
% Number of atoms : 226 ( 4 equ; 0 cnn)
% Maximal formula atoms : 46 ( 9 avg)
% Number of connectives : 389 ( 16 ~; 11 |; 4 &; 170 @)
% ( 6 <=>; 182 =>; 0 <=; 0 <~>)
% Maximal formula depth : 51 ( 13 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 48 ( 46 usr; 43 con; 0-3 aty)
% Number of variables : 66 ( 0 ^; 61 !; 5 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(setadjoinAx_type,type,
setadjoinAx: $o ).
thf(setunionAx_type,type,
setunionAx: $o ).
thf(emptyinunitempty_type,type,
emptyinunitempty: $o ).
thf(emptyInPowerset_type,type,
emptyInPowerset: $o ).
thf(omegaSAx_type,type,
omegaSAx: $o ).
thf(nonemptyI1_type,type,
nonemptyI1: $o ).
thf(wellorderingAx_type,type,
wellorderingAx: $o ).
thf(emptysetE_type,type,
emptysetE: $o ).
thf(nonemptyE1_type,type,
nonemptyE1: $o ).
thf(setadjoinIR_type,type,
setadjoinIR: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(setoftrueEq_type,type,
setoftrueEq: $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(emptyI_type,type,
emptyI: $o ).
thf(dsetconstrEL_type,type,
dsetconstrEL: $o ).
thf(powersetAx_type,type,
powersetAx: $o ).
thf(setadjoinOr_type,type,
setadjoinOr: $o ).
thf(notinemptyset_type,type,
notinemptyset: $o ).
thf(sk__10_type,type,
sk__10: $i > $i > $i ).
thf(setext_type,type,
setext: $o ).
thf(setbeta_type,type,
setbeta: $o ).
thf(emptysetimpfalse_type,type,
emptysetimpfalse: $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(setadjoinIL_type,type,
setadjoinIL: $o ).
thf(exuE1_type,type,
exuE1: $o ).
thf(nonemptyI_type,type,
nonemptyI: $o ).
thf(omega0Ax_type,type,
omega0Ax: $o ).
thf(powersetI_type,type,
powersetI: $o ).
thf(prop2setE_type,type,
prop2setE: $o ).
thf(setextAx_type,type,
setextAx: $o ).
thf(setunion_type,type,
setunion: $i > $i ).
thf(descrp_type,type,
descrp: $o ).
thf(foundationAx_type,type,
foundationAx: $o ).
thf(emptysetAx_type,type,
emptysetAx: $o ).
thf(sk__9_type,type,
sk__9: $o ).
thf(emptyinPowerset_type,type,
emptyinPowerset: $o ).
thf(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(powersetE_type,type,
powersetE: $o ).
thf(noeltsimpempty_type,type,
noeltsimpempty: $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(setunionI_type,type,
setunionI: $o ).
thf(exuE3e_type,type,
exuE3e: $o ).
thf(dsetconstrI_type,type,
dsetconstrI: $o ).
thf(setadjoinE_type,type,
setadjoinE: $o ).
thf(replAx_type,type,
replAx: $o ).
thf(omegaIndAx_type,type,
omegaIndAx: $o ).
thf(setunionI,axiom,
( setunionI
= ( ! [A: $i,Xx: $i,B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> ( in @ Xx @ ( setunion @ A ) ) ) ) ) ) ).
thf('0',plain,
( setunionI
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X6 @ X8 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X6 @ ( setunion @ X4 ) ) ) ) ) ),
define([status(thm)]) ).
thf(setunionAx,axiom,
( setunionAx
= ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
<=> ? [B: $i] :
( ( in @ B @ A )
& ( in @ Xx @ B ) ) ) ) ) ).
thf('1',plain,
( setunionAx
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( setunion @ X4 ) )
<=> ? [X8: $i] :
( ( in @ X8 @ X4 )
& ( in @ X6 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf(setunionE,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
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
=> ! [Xphi: $o] :
( ! [B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> Xphi ) )
=> Xphi ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( setunion @ X4 ) )
<=> ? [X8: $i] :
( ( in @ X6 @ X8 )
& ( in @ X8 @ X4 ) ) )
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X12 @ X14 )
=> ( ( in @ X14 @ X10 )
=> ( in @ X12 @ ( setunion @ X10 ) ) ) )
=> ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( setunion @ X16 ) )
=> ! [X20: $o] :
( ! [X22: $i] :
( ( in @ X18 @ X22 )
=> ( ( in @ X22 @ X16 )
=> X20 ) )
=> X20 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [X8: $i,X6: $i,X4: $i] :
( ( zip_tseitin_0 @ X8 @ X6 @ X4 )
<=> ( ( in @ X8 @ X4 )
& ( in @ X6 @ X8 ) ) ) ).
thf(zf_stmt_3,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( setunion @ X4 ) )
<=> ? [X8: $i] : ( zip_tseitin_0 @ X8 @ X6 @ X4 ) )
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X12 @ X14 )
=> ( ( in @ X14 @ X10 )
=> ( in @ X12 @ ( setunion @ X10 ) ) ) )
=> ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( setunion @ X16 ) )
=> ! [X20: $o] :
( ! [X22: $i] :
( ( in @ X18 @ X22 )
=> ( ( in @ X22 @ X16 )
=> X20 ) )
=> X20 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_4,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( setunion @ X4 ) )
<=> ? [X8: $i] : ( zip_tseitin_0 @ X8 @ X6 @ X4 ) )
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X12 @ X14 )
=> ( ( in @ X14 @ X10 )
=> ( in @ X12 @ ( setunion @ X10 ) ) ) )
=> ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( setunion @ X16 ) )
=> ! [X20: $o] :
( ! [X22: $i] :
( ( in @ X18 @ X22 )
=> ( ( in @ X22 @ X16 )
=> X20 ) )
=> X20 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl6,plain,
! [X1: $i,X3: $i] :
( ( zip_tseitin_0 @ ( sk__10 @ X3 @ X1 ) @ X3 @ X1 )
| ~ ( in @ X3 @ ( setunion @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( setunion @ X0 ) )
| ( in @ ( sk__10 @ X1 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl6_001,plain,
! [X1: $i,X3: $i] :
( ( zip_tseitin_0 @ ( sk__10 @ X3 @ X1 ) @ X3 @ X1 )
| ~ ( in @ X3 @ ( setunion @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( setunion @ X0 ) )
| ( in @ X1 @ ( sk__10 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).
thf(zip_derived_cl24,plain,
! [X7: $i] :
( sk__9
| ~ ( in @ sk__8 @ X7 )
| ~ ( in @ X7 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl25,plain,
~ sk__9,
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl50,plain,
! [X7: $i] :
( ~ ( in @ sk__8 @ X7 )
| ~ ( in @ X7 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl25]) ).
thf(zip_derived_cl65,plain,
! [X0: $i] :
( ~ ( in @ sk__8 @ ( setunion @ X0 ) )
| ~ ( in @ ( sk__10 @ sk__8 @ X0 ) @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl50]) ).
thf(zip_derived_cl73,plain,
( ~ ( in @ sk__8 @ ( setunion @ sk__7 ) )
| ~ ( in @ sk__8 @ ( setunion @ sk__7 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl65]) ).
thf(zip_derived_cl26,plain,
in @ sk__8 @ ( setunion @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl26_002,plain,
in @ sk__8 @ ( setunion @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl77,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl26,zip_derived_cl26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU523^1 : TPTP v8.1.2. Released v3.7.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KXPJk7iwsT true
% 0.15/0.35 % Computer : n031.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 23 14:36:50 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.66 % Estimated wc time : 1656
% 0.21/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.33/0.86 % Solved by lams/40_c_ic.sh.
% 1.33/0.86 % done 54 iterations in 0.035s
% 1.33/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.33/0.86 % SZS output start Refutation
% See solution above
% 1.33/0.86
% 1.33/0.86
% 1.33/0.86 % Terminating...
% 1.54/0.99 % Runner terminated.
% 1.54/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------