TSTP Solution File: SEU504^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU504^1 : 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.hejpMI7eY6 true
% Computer : n028.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 19:13:22 EDT 2023
% Result : Theorem 1.99s 0.90s
% Output : Refutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 39
% Syntax : Number of formulae : 44 ( 12 unt; 27 typ; 0 def)
% Number of atoms : 136 ( 29 equ; 0 cnn)
% Maximal formula atoms : 25 ( 8 avg)
% Number of connectives : 287 ( 2 ~; 0 |; 24 &; 131 @)
% ( 6 <=>; 124 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 48 ( 48 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 26 usr; 22 con; 0-4 aty)
% Number of variables : 108 ( 15 ^; 59 !; 34 ?; 108 :)
% 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(sk__16_type,type,
sk__16: $i > $o ).
thf(dsetconstrEL_type,type,
dsetconstrEL: $o ).
thf(powersetAx_type,type,
powersetAx: $o ).
thf(notinemptyset_type,type,
notinemptyset: $o ).
thf(emptysetimpfalse_type,type,
emptysetimpfalse: $o ).
thf(descr_type,type,
descr: ( $i > $o ) > $i ).
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(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > ( $i > $i > $o ) > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(descrp_type,type,
descrp: $o ).
thf(foundationAx_type,type,
foundationAx: $o ).
thf(emptysetAx_type,type,
emptysetAx: $o ).
thf(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(exu_type,type,
exu: ( $i > $o ) > $o ).
thf(dsetconstrI_type,type,
dsetconstrI: $o ).
thf(replAx_type,type,
replAx: $o ).
thf(omegaIndAx_type,type,
omegaIndAx: $o ).
thf(exuE1,axiom,
( exuE1
= ( ! [Xphi: $i > $o] :
( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ? [Xx: $i] :
( ! [Xy: $i] :
( ( Xphi @ Xy )
=> ( Xx = Xy ) )
& ( Xphi @ Xx ) ) ) ) ) ).
thf('0',plain,
( exuE1
= ( ! [X4: $i > $o] :
( ( exu
@ ^ [V_1: $i] : ( X4 @ V_1 ) )
=> ? [X6: $i] :
( ! [X8: $i] :
( ( X4 @ X8 )
=> ( X6 = X8 ) )
& ( X4 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(descrp,axiom,
( descrp
= ( ! [Xphi: $i > $o] :
( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ( Xphi
@ ( descr
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
thf('1',plain,
( descrp
= ( ! [X4: $i > $o] :
( ( exu
@ ^ [V_1: $i] : ( X4 @ V_1 ) )
=> ( X4
@ ( descr
@ ^ [V_2: $i] : ( X4 @ V_2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(replAx,axiom,
( replAx
= ( ! [Xphi: $i > $i > $o,A: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( exu
@ ^ [Xy: $i] : ( Xphi @ Xx @ Xy ) ) )
=> ? [B: $i] :
! [Xx: $i] :
( ( in @ Xx @ B )
<=> ? [Xy: $i] :
( ( Xphi @ Xy @ Xx )
& ( in @ Xy @ A ) ) ) ) ) ) ).
thf('2',plain,
( replAx
= ( ! [X4: $i > $i > $o,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( exu
@ ^ [V_1: $i] : ( X4 @ X8 @ V_1 ) ) )
=> ? [X10: $i] :
! [X12: $i] :
( ( in @ X12 @ X10 )
<=> ? [X14: $i] :
( ( X4 @ X14 @ X12 )
& ( in @ X14 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(exu,axiom,
( exu
= ( ^ [Xphi: $i > $o] :
? [Xx: $i] :
( ! [Xy: $i] :
( ( Xphi @ Xy )
=> ( Xx = Xy ) )
& ( Xphi @ Xx ) ) ) ) ).
thf('3',plain,
( exu
= ( ^ [Xphi: $i > $o] :
? [Xx: $i] :
( ! [Xy: $i] :
( ( Xphi @ Xy )
=> ( Xx = Xy ) )
& ( Xphi @ Xx ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[exu]) ).
thf('4',plain,
( exu
= ( ^ [V_1: $i > $o] :
? [X4: $i] :
( ! [X6: $i] :
( ( V_1 @ X6 )
=> ( X4 = X6 ) )
& ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(exuE3e,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ! [Xphi: $i > $o] :
( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ? [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( ! [X4: $i > $i > $o,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ? [X10: $i] :
( ( X4 @ X8 @ X10 )
& ! [X12: $i] :
( ( X4 @ X8 @ X12 )
=> ( X10 = X12 ) ) ) )
=> ? [X14: $i] :
! [X16: $i] :
( ( in @ X16 @ X14 )
<=> ? [X18: $i] :
( ( in @ X18 @ X6 )
& ( X4 @ X18 @ X16 ) ) ) )
=> ( foundationAx
=> ( wellorderingAx
=> ( ! [X20: $i > $o] :
( ? [X22: $i] :
( ( X20 @ X22 )
& ! [X24: $i] :
( ( X20 @ X24 )
=> ( X22 = X24 ) ) )
=> ( X20
@ ( descr
@ ^ [V_1: $i] : ( X20 @ V_1 ) ) ) )
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( ! [X26: $i > $o] :
( ? [X28: $i] :
( ( X26 @ X28 )
& ! [X30: $i] :
( ( X26 @ X30 )
=> ( X28 = X30 ) ) )
=> ? [X32: $i] :
( ( X26 @ X32 )
& ! [X34: $i] :
( ( X26 @ X34 )
=> ( X32 = X34 ) ) ) )
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ! [X36: $i > $o] :
( ? [X38: $i] :
( ( X36 @ X38 )
& ! [X40: $i] :
( ( X36 @ X40 )
=> ( X38 = X40 ) ) )
=> ? [X42: $i] : ( X36 @ X42 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_0: $i > $i > $i > ( $i > $i > $o ) > $o ).
thf(zf_stmt_2,axiom,
! [X18: $i,X16: $i,X6: $i,X4: $i > $i > $o] :
( ( zip_tseitin_0 @ X18 @ X16 @ X6 @ X4 )
<=> ( ( X4 @ X18 @ X16 )
& ( in @ X18 @ X6 ) ) ) ).
thf(zf_stmt_3,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( ! [X4: $i > $i > $o,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ? [X10: $i] :
( ! [X12: $i] :
( ( X4 @ X8 @ X12 )
=> ( X10 = X12 ) )
& ( X4 @ X8 @ X10 ) ) )
=> ? [X14: $i] :
! [X16: $i] :
( ( in @ X16 @ X14 )
<=> ? [X18: $i] : ( zip_tseitin_0 @ X18 @ X16 @ X6 @ X4 ) ) )
=> ( foundationAx
=> ( wellorderingAx
=> ( ! [X20: $i > $o] :
( ? [X22: $i] :
( ! [X24: $i] :
( ( X20 @ X24 )
=> ( X22 = X24 ) )
& ( X20 @ X22 ) )
=> ( X20
@ ( descr
@ ^ [V_1: $i] : ( X20 @ V_1 ) ) ) )
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( ! [X26: $i > $o] :
( ? [X28: $i] :
( ! [X30: $i] :
( ( X26 @ X30 )
=> ( X28 = X30 ) )
& ( X26 @ X28 ) )
=> ? [X32: $i] :
( ! [X34: $i] :
( ( X26 @ X34 )
=> ( X32 = X34 ) )
& ( X26 @ X32 ) ) )
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ! [X36: $i > $o] :
( ? [X38: $i] :
( ! [X40: $i] :
( ( X36 @ X40 )
=> ( X38 = X40 ) )
& ( X36 @ X38 ) )
=> ? [X42: $i] : ( X36 @ X42 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_4,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( ! [X4: $i > $i > $o,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ? [X10: $i] :
( ! [X12: $i] :
( ( X4 @ X8 @ X12 )
=> ( X10 = X12 ) )
& ( X4 @ X8 @ X10 ) ) )
=> ? [X14: $i] :
! [X16: $i] :
( ( in @ X16 @ X14 )
<=> ? [X18: $i] : ( zip_tseitin_0 @ X18 @ X16 @ X6 @ X4 ) ) )
=> ( foundationAx
=> ( wellorderingAx
=> ( ! [X20: $i > $o] :
( ? [X22: $i] :
( ! [X24: $i] :
( ( X20 @ X24 )
=> ( X22 = X24 ) )
& ( X20 @ X22 ) )
=> ( X20
@ ( descr
@ ^ [V_1: $i] : ( X20 @ V_1 ) ) ) )
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( ! [X26: $i > $o] :
( ? [X28: $i] :
( ! [X30: $i] :
( ( X26 @ X30 )
=> ( X28 = X30 ) )
& ( X26 @ X28 ) )
=> ? [X32: $i] :
( ! [X34: $i] :
( ( X26 @ X34 )
=> ( X32 = X34 ) )
& ( X26 @ X32 ) ) )
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ! [X36: $i > $o] :
( ? [X38: $i] :
( ! [X40: $i] :
( ( X36 @ X40 )
=> ( X38 = X40 ) )
& ( X36 @ X38 ) )
=> ? [X42: $i] : ( X36 @ X42 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl19,plain,
sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl18,plain,
! [X6: $i] :
~ ( sk__16 @ X6 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl107,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU504^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hejpMI7eY6 true
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 15:58:03 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in HO mode
% 0.19/0.62 % Total configuration time : 828
% 0.19/0.62 % Estimated wc time : 1656
% 0.19/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.73 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.19/0.73 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.99/0.90 % Solved by lams/40_c_ic.sh.
% 1.99/0.90 % done 23 iterations in 0.113s
% 1.99/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.99/0.90 % SZS output start Refutation
% See solution above
% 1.99/0.90
% 1.99/0.90
% 1.99/0.90 % Terminating...
% 2.04/0.93 % Runner terminated.
% 2.04/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------