TSTP Solution File: SEU508^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU508^1 : 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.ny3wlvDSih 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 19:13:24 EDT 2023
% Result : Theorem 1.40s 0.85s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 37
% Syntax : Number of formulae : 53 ( 12 unt; 29 typ; 0 def)
% Number of atoms : 132 ( 6 equ; 0 cnn)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 289 ( 14 ~; 12 |; 0 &; 169 @)
% ( 3 <=>; 91 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 29 usr; 27 con; 0-2 aty)
% Number of variables : 76 ( 19 ^; 57 !; 0 ?; 76 :)
% 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(in_type,type,
in: $i > $i > $o ).
thf(emptyI_type,type,
emptyI: $o ).
thf(dsetconstrEL_type,type,
dsetconstrEL: $o ).
thf(powersetAx_type,type,
powersetAx: $o ).
thf(notinemptyset_type,type,
notinemptyset: $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(setext_type,type,
setext: $o ).
thf(emptysetimpfalse_type,type,
emptysetimpfalse: $o ).
thf(exuE1_type,type,
exuE1: $o ).
thf(omega0Ax_type,type,
omega0Ax: $o ).
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(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(sk__10_type,type,
sk__10: $i > $o ).
thf(noeltsimpempty_type,type,
noeltsimpempty: $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(exuE3e_type,type,
exuE3e: $o ).
thf(dsetconstrI_type,type,
dsetconstrI: $o ).
thf(replAx_type,type,
replAx: $o ).
thf(omegaIndAx_type,type,
omegaIndAx: $o ).
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(dsetconstrEL,axiom,
( dsetconstrEL
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf('1',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('2',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(setbeta,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
=> ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
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_cl27,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_cl13,plain,
( ~ ( sk__10 @ sk__11 )
| ~ ( in @ sk__11
@ ( dsetconstr @ sk__9
@ ^ [Y0: $i] : ( sk__10 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl51,plain,
( ~ ( sk__10 @ sk__11 )
| ~ ( in @ sk__11 @ ( dsetconstr @ sk__9 @ sk__10 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl12,plain,
( ( sk__10 @ sk__11 )
| ( in @ sk__11
@ ( dsetconstr @ sk__9
@ ^ [Y0: $i] : ( sk__10 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl59,plain,
( ( sk__10 @ sk__11 )
| ( in @ sk__11 @ ( dsetconstr @ sk__9 @ sk__10 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl12]) ).
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_cl80,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_cl90,plain,
( ( sk__10 @ sk__11 )
| ( sk__10 @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl80]) ).
thf(zip_derived_cl113,plain,
sk__10 @ sk__11,
inference(simplify,[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl139,plain,
~ ( in @ sk__11 @ ( dsetconstr @ sk__9 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl113]) ).
thf(zip_derived_cl204,plain,
( ~ ( in @ sk__11 @ sk__9 )
| ~ ( sk__10 @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl139]) ).
thf(zip_derived_cl14,plain,
in @ sk__11 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl113_001,plain,
sk__10 @ sk__11,
inference(simplify,[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl206,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl14,zip_derived_cl113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU508^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ny3wlvDSih true
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Aug 23 15:43:46 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in HO mode
% 0.19/0.66 % Total configuration time : 828
% 0.19/0.66 % Estimated wc time : 1656
% 0.19/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.40/0.85 % Solved by lams/40_c_ic.sh.
% 1.40/0.85 % done 39 iterations in 0.081s
% 1.40/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.40/0.85 % SZS output start Refutation
% See solution above
% 1.40/0.85
% 1.40/0.85
% 1.40/0.85 % Terminating...
% 1.51/0.95 % Runner terminated.
% 1.51/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------