TSTP Solution File: SEU521^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU521^1 : 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.3ArYXF69Vf 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 19:13:31 EDT 2023
% Result : Theorem 1.42s 0.74s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 53
% Syntax : Number of formulae : 61 ( 13 unt; 43 typ; 0 def)
% Number of atoms : 170 ( 8 equ; 0 cnn)
% Maximal formula atoms : 44 ( 9 avg)
% Number of connectives : 262 ( 5 ~; 3 |; 0 &; 121 @)
% ( 4 <=>; 129 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 45 ( 43 usr; 42 con; 0-2 aty)
% Number of variables : 45 ( 0 ^; 45 !; 0 ?; 45 :)
% 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(sk__10_type,type,
sk__10: $i ).
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(emptyI_type,type,
emptyI: $o ).
thf(dsetconstrEL_type,type,
dsetconstrEL: $o ).
thf(powersetAx_type,type,
powersetAx: $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(setadjoinOr_type,type,
setadjoinOr: $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(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(sk__11_type,type,
sk__11: $i ).
thf(prop2setE_type,type,
prop2setE: $o ).
thf(setextAx_type,type,
setextAx: $o ).
thf(descrp_type,type,
descrp: $o ).
thf(foundationAx_type,type,
foundationAx: $o ).
thf(emptysetAx_type,type,
emptysetAx: $o ).
thf(emptyinPowerset_type,type,
emptyinPowerset: $o ).
thf(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(noeltsimpempty_type,type,
noeltsimpempty: $o ).
thf(exuE3e_type,type,
exuE3e: $o ).
thf(powerset_type,type,
powerset: $i > $i ).
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(emptyInPowerset,axiom,
( emptyInPowerset
= ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
thf('0',plain,
( emptyInPowerset
= ( ! [X4: $i] : ( in @ emptyset @ ( powerset @ X4 ) ) ) ),
define([status(thm)]) ).
thf(emptyinPowerset,axiom,
( emptyinPowerset
= ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
thf('1',plain,
( emptyinPowerset
= ( ! [X4: $i] : ( in @ emptyset @ ( powerset @ X4 ) ) ) ),
define([status(thm)]) ).
thf(powersetI,axiom,
( powersetI
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) ) ) ).
thf('2',plain,
( powersetI
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) )
=> ( in @ X6 @ ( powerset @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(powersetAx,axiom,
( powersetAx
= ( ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
<=> ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) ) ) ).
thf('3',plain,
( powersetAx
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
<=> ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(powersetE,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
=> ! [A: $i,B: $i,Xx: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
<=> ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) ) )
=> ( 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
=> ( ! [X10: $i,X12: $i] :
( ! [X14: $i] :
( ( in @ X14 @ X12 )
=> ( in @ X14 @ X10 ) )
=> ( in @ X12 @ ( powerset @ X10 ) ) )
=> ( ! [X16: $i] : ( in @ emptyset @ ( powerset @ X16 ) )
=> ( ! [X18: $i] : ( in @ emptyset @ ( powerset @ X18 ) )
=> ! [X20: $i,X22: $i,X24: $i] :
( ( in @ X22 @ ( powerset @ X20 ) )
=> ( ( in @ X24 @ X22 )
=> ( in @ X24 @ X20 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
<=> ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) ) )
=> ( 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
=> ( ! [X10: $i,X12: $i] :
( ! [X14: $i] :
( ( in @ X14 @ X12 )
=> ( in @ X14 @ X10 ) )
=> ( in @ X12 @ ( powerset @ X10 ) ) )
=> ( ! [X16: $i] : ( in @ emptyset @ ( powerset @ X16 ) )
=> ( ! [X18: $i] : ( in @ emptyset @ ( powerset @ X18 ) )
=> ! [X20: $i,X22: $i,X24: $i] :
( ( in @ X22 @ ( powerset @ X20 ) )
=> ( ( in @ X24 @ X22 )
=> ( in @ X24 @ X20 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21,plain,
~ ( in @ sk__12 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl20,plain,
in @ sk__11 @ ( powerset @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl41,plain,
! [X5: $i,X6: $i,X7: $i] :
( ~ ( in @ X6 @ X7 )
| ( in @ X6 @ X5 )
| ~ ( in @ X7 @ ( powerset @ X5 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ( in @ X0 @ sk__10 )
| ~ ( in @ X0 @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl41]) ).
thf(zip_derived_cl22,plain,
in @ sk__12 @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl62,plain,
in @ sk__12 @ sk__10,
inference('sup+',[status(thm)],[zip_derived_cl52,zip_derived_cl22]) ).
thf(zip_derived_cl69,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU521^1 : TPTP v8.1.2. Released v3.7.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3ArYXF69Vf true
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 23:15:05 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.61 % Total configuration time : 828
% 0.21/0.61 % Estimated wc time : 1656
% 0.21/0.61 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.78/0.69 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.78/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.78/0.70 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.78/0.70 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.78/0.70 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.78/0.71 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.42/0.72 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.42/0.74 % Solved by lams/40_c_ic.sh.
% 1.42/0.74 % done 46 iterations in 0.021s
% 1.42/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.42/0.74 % SZS output start Refutation
% See solution above
% 1.42/0.74
% 1.42/0.74
% 1.42/0.74 % Terminating...
% 1.59/0.82 % Runner terminated.
% 1.59/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------