TSTP Solution File: SET600^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET600^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HxcYkLpbjn true
% Computer : n005.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 16:14:53 EDT 2023
% Result : Theorem 1.43s 0.84s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 8 unt; 6 typ; 0 def)
% Number of atoms : 226 ( 63 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 192 ( 37 ~; 50 |; 18 &; 79 @)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-2 aty)
% ( 3 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 101 ( 77 ^; 24 !; 0 ?; 101 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#_fresh_sk4_type',type,
'#_fresh_sk4': a ).
thf('#sk1_type',type,
'#sk1': a > $o ).
thf('#sk2_type',type,
'#sk2': a > $o ).
thf('#_fresh_sk3_type',type,
'#_fresh_sk3': a ).
thf('#_fresh_sk5_type',type,
'#_fresh_sk5': a ).
thf(cBOOL_PROP_59_pme,conjecture,
! [X: a > $o,Y: a > $o] :
( ( ( ^ [Xz: a] :
( ( Y @ Xz )
| ( X @ Xz ) ) )
= ( ^ [Xx: a] : $false ) )
<=> ( ( Y
= ( ^ [Xx: a] : $false ) )
& ( X
= ( ^ [Xx: a] : $false ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: a > $o,Y: a > $o] :
( ( ( ^ [Xz: a] :
( ( Y @ Xz )
| ( X @ Xz ) ) )
= ( ^ [Xx: a] : $false ) )
<=> ( ( Y
= ( ^ [Xx: a] : $false ) )
& ( X
= ( ^ [Xx: a] : $false ) ) ) ),
inference('cnf.neg',[status(esa)],[cBOOL_PROP_59_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( ^ [Y2: a] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) )
= ( ^ [Y2: a] : $false ) )
<=> ( ( Y1
= ( ^ [Y2: a] : $false ) )
& ( Y0
= ( ^ [Y2: a] : $false ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( ( ( ^ [Y1: a] :
( ( Y0 @ Y1 )
| ( '#sk1' @ Y1 ) ) )
= ( ^ [Y1: a] : $false ) )
<=> ( ( Y0
= ( ^ [Y1: a] : $false ) )
& ( '#sk1'
= ( ^ [Y1: a] : $false ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ( ( ^ [Y0: a] :
( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: a] : $false ) )
<=> ( ( '#sk2'
= ( ^ [Y0: a] : $false ) )
& ( '#sk1'
= ( ^ [Y0: a] : $false ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ( ( ^ [Y0: a] :
( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: a] : $false ) )
!= ( ( '#sk2'
= ( ^ [Y0: a] : $false ) )
& ( '#sk1'
= ( ^ [Y0: a] : $false ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
( ( ( ^ [Y0: a] :
( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: a] : $false ) )
| ~ ( ( '#sk2'
= ( ^ [Y0: a] : $false ) )
& ( '#sk1'
= ( ^ [Y0: a] : $false ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
( ( ( ^ [Y0: a] :
( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: a] : $false ) )
| ~ ( ( '#sk2'
= ( ^ [Y0: a] : $false ) )
& ( '#sk1'
= ( ^ [Y0: a] : $false ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
( ( ( ^ [Y0: a] :
( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) )
@ '#_fresh_sk3' )
!= ( ^ [Y0: a] : $false
@ '#_fresh_sk3' ) )
| ~ ( ( '#sk2'
= ( ^ [Y0: a] : $false ) )
& ( '#sk1'
= ( ^ [Y0: a] : $false ) ) ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
( ( '#sk2' @ '#_fresh_sk3' )
| ( '#sk1' @ '#_fresh_sk3' )
| ~ ( ( '#sk2'
= ( ^ [Y0: a] : $false ) )
& ( '#sk1'
= ( ^ [Y0: a] : $false ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
( ( '#sk2' @ '#_fresh_sk3' )
| ( '#sk1' @ '#_fresh_sk3' )
| ~ ( ( '#sk2'
= ( ^ [Y0: a] : $false ) )
& ( '#sk1'
= ( ^ [Y0: a] : $false ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl13,plain,
( ( '#sk2'
!= ( ^ [Y0: a] : $false ) )
| ( '#sk1'
!= ( ^ [Y0: a] : $false ) )
| ( '#sk1' @ '#_fresh_sk3' )
| ( '#sk2' @ '#_fresh_sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl14,plain,
( ( '#sk2'
!= ( ^ [Y0: a] : $false ) )
| ( '#sk1'
!= ( ^ [Y0: a] : $false ) )
| ( '#sk1' @ '#_fresh_sk3' )
| ( '#sk2' @ '#_fresh_sk3' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl15,plain,
( ( ( '#sk2' @ '#_fresh_sk4' )
!= ( ^ [Y0: a] : $false
@ '#_fresh_sk4' ) )
| ( ( '#sk1' @ '#_fresh_sk5' )
!= ( ^ [Y0: a] : $false
@ '#_fresh_sk5' ) )
| ( '#sk1' @ '#_fresh_sk3' )
| ( '#sk2' @ '#_fresh_sk3' ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl16,plain,
( ( '#sk2' @ '#_fresh_sk4' )
| ( '#sk1' @ '#_fresh_sk5' )
| ( '#sk1' @ '#_fresh_sk3' )
| ( '#sk2' @ '#_fresh_sk3' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl3_001,plain,
( ( ( ^ [Y0: a] :
( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: a] : $false ) )
!= ( ( '#sk2'
= ( ^ [Y0: a] : $false ) )
& ( '#sk1'
= ( ^ [Y0: a] : $false ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( ( ( ^ [Y0: a] :
( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: a] : $false ) )
| ( ( '#sk2'
= ( ^ [Y0: a] : $false ) )
& ( '#sk1'
= ( ^ [Y0: a] : $false ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
( ( ( ^ [Y0: a] :
( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: a] : $false ) )
| ( ( '#sk2'
= ( ^ [Y0: a] : $false ) )
& ( '#sk1'
= ( ^ [Y0: a] : $false ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
! [X2: a] :
( ( ( ^ [Y0: a] :
( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) )
@ X2 )
= ( ^ [Y0: a] : $false
@ X2 ) )
| ( ( '#sk2'
= ( ^ [Y0: a] : $false ) )
& ( '#sk1'
= ( ^ [Y0: a] : $false ) ) ) ),
inference(arg_cong_simpl,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
! [X2: a] :
( ~ ( ( '#sk2' @ X2 )
| ( '#sk1' @ X2 ) )
| ( ( '#sk2'
= ( ^ [Y0: a] : $false ) )
& ( '#sk1'
= ( ^ [Y0: a] : $false ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl17,plain,
! [X2: a] :
( ~ ( '#sk2' @ X2 )
| ( ( '#sk2'
= ( ^ [Y0: a] : $false ) )
& ( '#sk1'
= ( ^ [Y0: a] : $false ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl19,plain,
! [X2: a] :
( ( '#sk2'
= ( ^ [Y0: a] : $false ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl23,plain,
! [X2: a] :
( ( '#sk2'
= ( ^ [Y0: a] : $false ) )
| ~ ( '#sk2' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl24,plain,
! [X2: a,X4: a] :
( ( ( '#sk2' @ X4 )
= ( ^ [Y0: a] : $false
@ X4 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(arg_cong_simpl,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl25,plain,
! [X2: a,X4: a] :
( ~ ( '#sk2' @ X4 )
| ~ ( '#sk2' @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl26,plain,
! [X0: a] :
~ ( '#sk2' @ X0 ),
inference(condensation,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl37,plain,
( ( '#sk2' @ '#_fresh_sk3' )
| ( '#sk1' @ '#_fresh_sk3' )
| ( '#sk1' @ '#_fresh_sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl26]) ).
thf(zip_derived_cl26_002,plain,
! [X0: a] :
~ ( '#sk2' @ X0 ),
inference(condensation,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl45,plain,
( ( '#sk1' @ '#_fresh_sk5' )
| ( '#sk1' @ '#_fresh_sk3' ) ),
inference(clc,[status(thm)],[zip_derived_cl37,zip_derived_cl26]) ).
thf(zip_derived_cl18,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 )
| ( ( '#sk2'
= ( ^ [Y0: a] : $false ) )
& ( '#sk1'
= ( ^ [Y0: a] : $false ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl22,plain,
! [X2: a] :
( ( '#sk1'
= ( ^ [Y0: a] : $false ) )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl33,plain,
! [X2: a] :
( ( '#sk1'
= ( ^ [Y0: a] : $false ) )
| ~ ( '#sk1' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl34,plain,
! [X2: a,X4: a] :
( ( ( '#sk1' @ X4 )
= ( ^ [Y0: a] : $false
@ X4 ) )
| ~ ( '#sk1' @ X2 ) ),
inference(arg_cong_simpl,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl35,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X4 )
| ~ ( '#sk1' @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl36,plain,
! [X0: a] :
~ ( '#sk1' @ X0 ),
inference(condensation,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl46,plain,
'#sk1' @ '#_fresh_sk3',
inference(clc,[status(thm)],[zip_derived_cl45,zip_derived_cl36]) ).
thf(zip_derived_cl36_003,plain,
! [X0: a] :
~ ( '#sk1' @ X0 ),
inference(condensation,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl47,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET600^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HxcYkLpbjn true
% 0.14/0.35 % Computer : n005.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 : Sat Aug 26 09:37:53 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
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.68 % Total configuration time : 828
% 0.22/0.68 % Estimated wc time : 1656
% 0.22/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.37/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.37/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.37/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.37/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.43/0.84 % Solved by lams/20_acsne_simpl.sh.
% 1.43/0.84 % done 4 iterations in 0.017s
% 1.43/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.43/0.84 % SZS output start Refutation
% See solution above
% 1.43/0.84
% 1.43/0.84
% 1.43/0.84 % Terminating...
% 1.43/0.87 % Runner terminated.
% 1.43/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------