TSTP Solution File: SEV116^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV116^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1uZvZH7OD3 true
% Computer : n002.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 19:59:39 EDT 2023
% Result : Theorem 1.40s 0.83s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 56 ( 16 unt; 6 typ; 0 def)
% Number of atoms : 151 ( 3 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 481 ( 19 ~; 20 |; 54 &; 315 @)
% ( 0 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 98 ( 98 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 5 con; 0-3 aty)
% ( 22 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 71 ( 55 ^; 16 !; 0 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(cS_type,type,
cS: ( $i > $i > $o ) > $o ).
thf('#sk1_type',type,
'#sk1': $i > $i > $o ).
thf(y_type,type,
y: $i ).
thf(cSTRANGE_HO_ABBR_type,type,
cSTRANGE_HO_ABBR: ( ( $i > $i > $o ) > $o ) > $i > $i > $o ).
thf(x_type,type,
x: $i ).
thf('#sk10_type',type,
'#sk10': $i > $i > $o ).
thf(cSTRANGE_HO_ABBR_def,axiom,
( cSTRANGE_HO_ABBR
= ( ^ [S: ( $i > $i > $o ) > $o,Xx: $i,Xy: $i] :
! [Xp: $i > $i > $o] :
( ( ( S @ Xp )
& ( Xp @ Xx @ Xy ) )
=> ( Xp @ Xy @ Xx ) ) ) ) ).
thf('0',plain,
( cSTRANGE_HO_ABBR
= ( ^ [S: ( $i > $i > $o ) > $o,Xx: $i,Xy: $i] :
! [Xp: $i > $i > $o] :
( ( ( S @ Xp )
& ( Xp @ Xx @ Xy ) )
=> ( Xp @ Xy @ Xx ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cSTRANGE_HO_ABBR_def]) ).
thf('1',plain,
( cSTRANGE_HO_ABBR
= ( ^ [V_1: ( $i > $i > $o ) > $o,V_2: $i,V_3: $i] :
! [X4: $i > $i > $o] :
( ( ( V_1 @ X4 )
& ( X4 @ V_2 @ V_3 ) )
=> ( X4 @ V_3 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(cSTRANGE_HO_EXAMPLE,conjecture,
( ( ( cS @ ( cSTRANGE_HO_ABBR @ cS ) )
& ( cSTRANGE_HO_ABBR @ cS @ x @ y ) )
=> ( cSTRANGE_HO_ABBR @ cS @ y @ x ) ) ).
thf(zf_stmt_0,conjecture,
( ( ! [X6: $i > $i > $o] :
( ( ( X6 @ x @ y )
& ( cS @ X6 ) )
=> ( X6 @ y @ x ) )
& ( cS
@ ^ [V_1: $i,V_2: $i] :
! [X4: $i > $i > $o] :
( ( ( X4 @ V_1 @ V_2 )
& ( cS @ X4 ) )
=> ( X4 @ V_2 @ V_1 ) ) ) )
=> ! [X8: $i > $i > $o] :
( ( ( X8 @ y @ x )
& ( cS @ X8 ) )
=> ( X8 @ x @ y ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ( ! [X6: $i > $i > $o] :
( ( ( X6 @ x @ y )
& ( cS @ X6 ) )
=> ( X6 @ y @ x ) )
& ( cS
@ ^ [V_1: $i,V_2: $i] :
! [X4: $i > $i > $o] :
( ( ( X4 @ V_1 @ V_2 )
& ( cS @ X4 ) )
=> ( X4 @ V_2 @ V_1 ) ) ) )
=> ! [X8: $i > $i > $o] :
( ( ( X8 @ y @ x )
& ( cS @ X8 ) )
=> ( X8 @ x @ y ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ x @ y )
& ( cS @ Y0 ) )
=> ( Y0 @ y @ x ) ) )
& ( cS
@ ^ [Y0: $i,Y1: $i] :
( !!
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ Y0 @ Y1 )
& ( cS @ Y2 ) )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ y @ x )
& ( cS @ Y0 ) )
=> ( Y0 @ x @ y ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
( ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ x @ y )
& ( cS @ Y0 ) )
=> ( Y0 @ y @ x ) ) )
& ( cS
@ ^ [Y0: $i,Y1: $i] :
( !!
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ Y0 @ Y1 )
& ( cS @ Y2 ) )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ x @ y )
& ( cS @ Y0 ) )
=> ( Y0 @ y @ x ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
! [X2: $i > $i > $o] :
( ( ( X2 @ x @ y )
& ( cS @ X2 ) )
=> ( X2 @ y @ x ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl14,plain,
( ( ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ x @ y )
& ( cS @ Y0 ) )
=> ( Y0 @ y @ x ) ) )
& ( cS
@ ^ [Y0: $i,Y1: $i] :
( !!
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ Y0 @ Y1 )
& ( cS @ Y2 ) )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ y @ x )
& ( cS @ Y0 ) )
=> ( Y0 @ x @ y ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl4,plain,
( cS
@ ^ [Y0: $i,Y1: $i] :
( !!
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ Y0 @ Y1 )
& ( cS @ Y2 ) )
=> ( Y2 @ Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl17,plain,
( ( ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ x @ y )
& ( cS @ Y0 ) )
=> ( Y0 @ y @ x ) ) )
& $true )
=> ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ y @ x )
& ( cS @ Y0 ) )
=> ( Y0 @ x @ y ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl4]) ).
thf(zip_derived_cl18,plain,
( ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ x @ y )
& ( cS @ Y0 ) )
=> ( Y0 @ y @ x ) ) )
=> ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ y @ x )
& ( cS @ Y0 ) )
=> ( Y0 @ x @ y ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl19,plain,
( ~ ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ x @ y )
& ( cS @ Y0 ) )
=> ( Y0 @ y @ x ) ) )
| ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ y @ x )
& ( cS @ Y0 ) )
=> ( Y0 @ x @ y ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl20,plain,
( ~ ( ( ( '#sk10' @ x @ y )
& ( cS @ '#sk10' ) )
=> ( '#sk10' @ y @ x ) )
| ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ y @ x )
& ( cS @ Y0 ) )
=> ( Y0 @ x @ y ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21,plain,
( ( ( '#sk10' @ x @ y )
& ( cS @ '#sk10' ) )
| ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ y @ x )
& ( cS @ Y0 ) )
=> ( Y0 @ x @ y ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl23,plain,
( ( '#sk10' @ x @ y )
| ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ y @ x )
& ( cS @ Y0 ) )
=> ( Y0 @ x @ y ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl28,plain,
! [X2: $i > $i > $o] :
( ( ( ( X2 @ y @ x )
& ( cS @ X2 ) )
=> ( X2 @ x @ y ) )
| ( '#sk10' @ x @ y ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl30,plain,
( ( ( ( '#sk1' @ y @ x )
& ( cS @ '#sk1' ) )
=> ( '#sk1' @ x @ y ) )
| ( '#sk10' @ x @ y ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ y @ x )
& ( cS @ Y0 ) )
=> ( Y0 @ x @ y ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( ( ( '#sk1' @ y @ x )
& ( cS @ '#sk1' ) )
=> ( '#sk1' @ x @ y ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
( ( '#sk1' @ y @ x )
& ( cS @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
'#sk1' @ y @ x,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
cS @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl9,plain,
~ ( '#sk1' @ x @ y ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl44,plain,
( ( ( $true
& $true )
=> $false )
| ( '#sk10' @ x @ y ) ),
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl11,zip_derived_cl12,zip_derived_cl9]) ).
thf(zip_derived_cl45,plain,
'#sk10' @ x @ y,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl6_001,plain,
! [X2: $i > $i > $o] :
( ( ( X2 @ x @ y )
& ( cS @ X2 ) )
=> ( X2 @ y @ x ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
! [X2: $i > $i > $o] :
( ~ ( ( X2 @ x @ y )
& ( cS @ X2 ) )
| ( X2 @ y @ x ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
! [X2: $i > $i > $o] :
( ~ ( X2 @ x @ y )
| ~ ( cS @ X2 )
| ( X2 @ y @ x ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl52,plain,
( ( ^ [Y0: $i,Y1: $i] :
( '#sk10'
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) )
@ y
@ x )
| ~ ( cS
@ ^ [Y0: $i,Y1: $i] :
( '#sk10'
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl13]) ).
thf(zip_derived_cl61,plain,
( ( '#sk10' @ y @ x )
| ~ ( cS @ '#sk10' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl22,plain,
( ~ ( '#sk10' @ y @ x )
| ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ y @ x )
& ( cS @ Y0 ) )
=> ( Y0 @ x @ y ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl25,plain,
! [X2: $i > $i > $o] :
( ( ( ( X2 @ y @ x )
& ( cS @ X2 ) )
=> ( X2 @ x @ y ) )
| ~ ( '#sk10' @ y @ x ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl27,plain,
( ( ( ( '#sk1' @ y @ x )
& ( cS @ '#sk1' ) )
=> ( '#sk1' @ x @ y ) )
| ~ ( '#sk10' @ y @ x ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl11_002,plain,
'#sk1' @ y @ x,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12_003,plain,
cS @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl9_004,plain,
~ ( '#sk1' @ x @ y ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl40,plain,
( ( ( $true
& $true )
=> $false )
| ~ ( '#sk10' @ y @ x ) ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl11,zip_derived_cl12,zip_derived_cl9]) ).
thf(zip_derived_cl41,plain,
~ ( '#sk10' @ y @ x ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl24,plain,
( ( cS @ '#sk10' )
| ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ y @ x )
& ( cS @ Y0 ) )
=> ( Y0 @ x @ y ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl31,plain,
! [X2: $i > $i > $o] :
( ( ( ( X2 @ y @ x )
& ( cS @ X2 ) )
=> ( X2 @ x @ y ) )
| ( cS @ '#sk10' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl33,plain,
( ( ( ( '#sk1' @ y @ x )
& ( cS @ '#sk1' ) )
=> ( '#sk1' @ x @ y ) )
| ( cS @ '#sk10' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl11_005,plain,
'#sk1' @ y @ x,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12_006,plain,
cS @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl9_007,plain,
~ ( '#sk1' @ x @ y ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl42,plain,
( ( ( $true
& $true )
=> $false )
| ( cS @ '#sk10' ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl11,zip_derived_cl12,zip_derived_cl9]) ).
thf(zip_derived_cl43,plain,
cS @ '#sk10',
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl62,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl41,zip_derived_cl43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV116^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1uZvZH7OD3 true
% 0.14/0.35 % Computer : n002.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 : Thu Aug 24 03:33:01 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % 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
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.40/0.83 % Solved by lams/20_acsne_simpl.sh.
% 1.40/0.83 % done 7 iterations in 0.033s
% 1.40/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.40/0.83 % SZS output start Refutation
% See solution above
% 1.40/0.83
% 1.40/0.83
% 1.40/0.83 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.40/0.83 % Terminating...
% 1.62/0.89 % Runner terminated.
% 1.65/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------