TSTP Solution File: SEU637^2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU637^2 : 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.EdqV60q9hh true
% Computer : n001.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 19:15:05 EDT 2023
% Result : Theorem 29.67s 4.51s
% Output : Refutation 29.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 27
% Syntax : Number of formulae : 31 ( 16 unt; 11 typ; 0 def)
% Number of atoms : 159 ( 40 equ; 0 cnn)
% Maximal formula atoms : 43 ( 7 avg)
% Number of connectives : 418 ( 2 ~; 0 |; 10 &; 285 @)
% ( 0 <=>; 98 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 11 usr; 10 con; 0-2 aty)
% ( 21 !!; 2 ??; 0 @@+; 0 @@-)
% Number of variables : 131 ( 43 ^; 80 !; 8 ?; 131 :)
% Comments :
%------------------------------------------------------------------------------
thf(dsetconstrI_type,type,
dsetconstrI: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(uniqinunit_type,type,
uniqinunit: $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(dsetconstrEL_type,type,
dsetconstrEL: $o ).
thf(setext_type,type,
setext: $o ).
thf(singleton_type,type,
singleton: $i > $o ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(eqinunit_type,type,
eqinunit: $o ).
thf(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(singleton,axiom,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ) ).
thf('0',plain,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[singleton]) ).
thf('1',plain,
( singleton
= ( ^ [V_1: $i] :
? [X4: $i] :
( ( V_1
= ( setadjoin @ X4 @ emptyset ) )
& ( in @ X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(eqinunit,axiom,
( eqinunit
= ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
thf('2',plain,
( eqinunit
= ( ! [X4: $i,X6: $i] :
( ( X4 = X6 )
=> ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) ) ),
define([status(thm)]) ).
thf(uniqinunit,axiom,
( uniqinunit
= ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( Xx = Xy ) ) ) ) ).
thf('3',plain,
( uniqinunit
= ( ! [X4: $i,X6: $i] :
( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
=> ( X4 = X6 ) ) ) ),
define([status(thm)]) ).
thf(setext,axiom,
( setext
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( A = B ) ) ) ) ) ).
thf('4',plain,
( setext
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( ! [X10: $i] :
( ( in @ X10 @ X6 )
=> ( in @ X10 @ X4 ) )
=> ( X4 = X6 ) ) ) ) ),
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('5',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('6',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('7',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(singletonprop,conjecture,
( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( setext
=> ( uniqinunit
=> ( eqinunit
=> ! [A: $i,Xphi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( Xphi @ Xx )
=> ( ( Xphi @ Xy )
=> ( Xx = Xy ) ) ) ) )
=> ( ? [Xx: $i] :
( ( Xphi @ Xx )
& ( in @ Xx @ A ) )
=> ( singleton
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [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 ) )
=> ( ! [X22: $i,X24: $i] :
( ! [X26: $i] :
( ( in @ X26 @ X22 )
=> ( in @ X26 @ X24 ) )
=> ( ! [X28: $i] :
( ( in @ X28 @ X24 )
=> ( in @ X28 @ X22 ) )
=> ( X22 = X24 ) ) )
=> ( ! [X30: $i,X32: $i] :
( ( in @ X30 @ ( setadjoin @ X32 @ emptyset ) )
=> ( X30 = X32 ) )
=> ( ! [X34: $i,X36: $i] :
( ( X34 = X36 )
=> ( in @ X34 @ ( setadjoin @ X36 @ emptyset ) ) )
=> ! [X38: $i,X40: $i > $o] :
( ! [X42: $i] :
( ( in @ X42 @ X38 )
=> ! [X44: $i] :
( ( in @ X44 @ X38 )
=> ( ( X40 @ X42 )
=> ( ( X40 @ X44 )
=> ( X42 = X44 ) ) ) ) )
=> ( ? [X46: $i] :
( ( in @ X46 @ X38 )
& ( X40 @ X46 ) )
=> ? [X48: $i] :
( ( in @ X48
@ ( dsetconstr @ X38
@ ^ [V_5: $i] : ( X40 @ V_5 ) ) )
& ( ( dsetconstr @ X38
@ ^ [V_4: $i] : ( X40 @ V_4 ) )
= ( setadjoin @ X48 @ emptyset ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [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 ) )
=> ( ! [X22: $i,X24: $i] :
( ! [X26: $i] :
( ( in @ X26 @ X22 )
=> ( in @ X26 @ X24 ) )
=> ( ! [X28: $i] :
( ( in @ X28 @ X24 )
=> ( in @ X28 @ X22 ) )
=> ( X22 = X24 ) ) )
=> ( ! [X30: $i,X32: $i] :
( ( in @ X30 @ ( setadjoin @ X32 @ emptyset ) )
=> ( X30 = X32 ) )
=> ( ! [X34: $i,X36: $i] :
( ( X34 = X36 )
=> ( in @ X34 @ ( setadjoin @ X36 @ emptyset ) ) )
=> ! [X38: $i,X40: $i > $o] :
( ! [X42: $i] :
( ( in @ X42 @ X38 )
=> ! [X44: $i] :
( ( in @ X44 @ X38 )
=> ( ( X40 @ X42 )
=> ( ( X40 @ X44 )
=> ( X42 = X44 ) ) ) ) )
=> ( ? [X46: $i] :
( ( in @ X46 @ X38 )
& ( X40 @ X46 ) )
=> ? [X48: $i] :
( ( in @ X48
@ ( dsetconstr @ X38
@ ^ [V_5: $i] : ( X40 @ V_5 ) ) )
& ( ( dsetconstr @ X38
@ ^ [V_4: $i] : ( X40 @ V_4 ) )
= ( setadjoin @ X48 @ emptyset ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2565,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( Y1 @ Y2 )
=> ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) )
=> ( in @ Y2 @ Y0 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) )
=> ( Y1 @ Y2 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( Y0 = Y1 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( setadjoin @ Y1 @ emptyset ) )
=> ( Y0 = Y1 ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( Y0 = Y1 )
=> ( in @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( Y1 @ Y2 )
=> ( ( Y1 @ Y3 )
=> ( Y2 = Y3 ) ) ) ) ) ) )
=> ( ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
& ( Y1 @ Y2 ) ) )
=> ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) )
& ( ( dsetconstr @ Y0 @ Y1 )
= ( setadjoin @ Y2 @ emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2566,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl2565]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU637^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EdqV60q9hh true
% 0.15/0.36 % Computer : n001.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 23 18:03:09 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in HO mode
% 0.23/0.69 % Total configuration time : 828
% 0.23/0.69 % Estimated wc time : 1656
% 0.23/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.97/0.79 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.97/0.79 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.97/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.97/0.80 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.97/0.82 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.97/0.83 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 29.67/4.51 % Solved by lams/15_e_short1.sh.
% 29.67/4.51 % done 63 iterations in 3.683s
% 29.67/4.51 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 29.67/4.51 % SZS output start Refutation
% See solution above
% 29.67/4.51
% 29.67/4.51
% 29.67/4.51 % Terminating...
% 29.67/4.59 % Runner terminated.
% 29.67/4.61 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------