TSTP Solution File: SEU640^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU640^2 : 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.zkzw9rak7b true
% Computer : n022.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 19:15:16 EDT 2023
% Result : Theorem 0.16s 0.74s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 15
% Syntax : Number of formulae : 21 ( 9 unt; 7 typ; 0 def)
% Number of atoms : 114 ( 30 equ; 0 cnn)
% Maximal formula atoms : 24 ( 8 avg)
% Number of connectives : 354 ( 3 ~; 0 |; 22 &; 234 @)
% ( 0 <=>; 71 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 7 usr; 5 con; 0-2 aty)
% ( 16 !!; 8 ??; 0 @@+; 0 @@-)
% Number of variables : 93 ( 51 ^; 28 !; 14 ?; 93 :)
% Comments :
%------------------------------------------------------------------------------
thf(singleton_type,type,
singleton: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(singletonprop_type,type,
singletonprop: $o ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(ex1_type,type,
ex1: $i > ( $i > $o ) > $o ).
thf(ex1,axiom,
( ex1
= ( ^ [A: $i,Xphi: $i > $o] :
( singleton
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
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('2',plain,
( ex1
= ( ^ [A: $i,Xphi: $i > $o] :
( singleton
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ex1,'1']) ).
thf('3',plain,
( ex1
= ( ^ [V_1: $i,V_2: $i > $o] :
( singleton
@ ( dsetconstr @ V_1
@ ^ [V_3: $i] : ( V_2 @ V_3 ) ) ) ) ),
define([status(thm)]) ).
thf(singletonprop,axiom,
( singletonprop
= ( ! [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('4',plain,
( singletonprop
= ( ! [X4: $i,X6: $i > $o] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ( X6 @ X8 )
=> ( ( X6 @ X10 )
=> ( X8 = X10 ) ) ) ) )
=> ( ? [X12: $i] :
( ( X6 @ X12 )
& ( in @ X12 @ X4 ) )
=> ( singleton
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(ex1I2,conjecture,
( singletonprop
=> ! [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 ) )
=> ( ex1 @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ( X6 @ X8 )
=> ( ( X6 @ X10 )
=> ( X8 = X10 ) ) ) ) )
=> ( ? [X12: $i] :
( ( in @ X12 @ X4 )
& ( X6 @ X12 ) )
=> ? [X14: $i] :
( ( in @ X14
@ ( dsetconstr @ X4
@ ^ [V_2: $i] : ( X6 @ V_2 ) ) )
& ( ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) )
= ( setadjoin @ X14 @ emptyset ) ) ) ) )
=> ! [X16: $i,X18: $i > $o] :
( ! [X20: $i] :
( ( in @ X20 @ X16 )
=> ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ( ( X18 @ X20 )
=> ( ( X18 @ X22 )
=> ( X20 = X22 ) ) ) ) )
=> ( ? [X24: $i] :
( ( in @ X24 @ X16 )
& ( X18 @ X24 ) )
=> ? [X26: $i] :
( ( in @ X26
@ ( dsetconstr @ X16
@ ^ [V_4: $i] : ( X18 @ V_4 ) ) )
& ( ( dsetconstr @ X16
@ ^ [V_3: $i] : ( X18 @ V_3 ) )
= ( setadjoin @ X26 @ emptyset ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ( X6 @ X8 )
=> ( ( X6 @ X10 )
=> ( X8 = X10 ) ) ) ) )
=> ( ? [X12: $i] :
( ( in @ X12 @ X4 )
& ( X6 @ X12 ) )
=> ? [X14: $i] :
( ( in @ X14
@ ( dsetconstr @ X4
@ ^ [V_2: $i] : ( X6 @ V_2 ) ) )
& ( ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) )
= ( setadjoin @ X14 @ emptyset ) ) ) ) )
=> ! [X16: $i,X18: $i > $o] :
( ! [X20: $i] :
( ( in @ X20 @ X16 )
=> ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ( ( X18 @ X20 )
=> ( ( X18 @ X22 )
=> ( X20 = X22 ) ) ) ) )
=> ( ? [X24: $i] :
( ( in @ X24 @ X16 )
& ( X18 @ X24 ) )
=> ? [X26: $i] :
( ( in @ X26
@ ( dsetconstr @ X16
@ ^ [V_4: $i] : ( X18 @ V_4 ) ) )
& ( ( dsetconstr @ X16
@ ^ [V_3: $i] : ( X18 @ V_3 ) )
= ( setadjoin @ X26 @ emptyset ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [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
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
& ( ( dsetconstr @ Y0
@ ^ [Y3: $i] : ( Y1 @ Y3 ) )
= ( setadjoin @ Y2 @ 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
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
& ( ( dsetconstr @ Y0
@ ^ [Y3: $i] : ( Y1 @ Y3 ) )
= ( setadjoin @ Y2 @ emptyset ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
~ ( ( !!
@ ^ [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 ) ) ) ) ) ) ) )
=> ( !!
@ ^ [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(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU640^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zkzw9rak7b true
% 0.10/0.31 % Computer : n022.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Aug 23 18:20:11 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.32 % Running in HO mode
% 0.16/0.60 % Total configuration time : 828
% 0.16/0.60 % Estimated wc time : 1656
% 0.16/0.60 % Estimated cpu time (8 cpus) : 207.0
% 0.16/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.16/0.69 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.16/0.69 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.16/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.16/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.16/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.16/0.70 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.16/0.70 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.16/0.74 % Solved by lams/15_e_short1.sh.
% 0.16/0.74 % done 0 iterations in 0.011s
% 0.16/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.16/0.74 % SZS output start Refutation
% See solution above
% 0.16/0.74
% 0.16/0.74
% 0.16/0.75 % Terminating...
% 1.84/0.84 % Runner terminated.
% 1.84/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------