TSTP Solution File: SEU970^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU970^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cL8vxZ0nhh true
% Computer : n020.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 19:19:00 EDT 2023
% Result : Theorem 1.10s 0.82s
% Output : Refutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 11
% Syntax : Number of formulae : 50 ( 9 unt; 7 typ; 0 def)
% Number of atoms : 137 ( 3 equ; 2 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 551 ( 27 ~; 7 |; 44 &; 336 @)
% ( 0 <=>; 83 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 7 usr; 7 con; 0-2 aty)
% ( 54 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 92 ( 60 ^; 32 !; 0 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk1_type',type,
'#sk1': $i ).
thf(s_type,type,
s: $i > $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf('#sk4_type',type,
'#sk4': $i > $o ).
thf(cCKB_E2_type,type,
cCKB_E2: $i > $i > $o ).
thf('#sk15_type',type,
'#sk15': ( $i > $o ) > $i ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(cCKB_E2_def,axiom,
( cCKB_E2
= ( ^ [Xx: $i,Xy: $i] :
! [Xp: $i > $o] :
( ( ( Xp @ Xx )
& ! [Xu: $i] :
( ( Xp @ Xu )
=> ( Xp @ ( s @ ( s @ Xu ) ) ) ) )
=> ( Xp @ Xy ) ) ) ) ).
thf('0',plain,
( cCKB_E2
= ( ^ [Xx: $i,Xy: $i] :
! [Xp: $i > $o] :
( ( ( Xp @ Xx )
& ! [Xu: $i] :
( ( Xp @ Xu )
=> ( Xp @ ( s @ ( s @ Xu ) ) ) ) )
=> ( Xp @ Xy ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cCKB_E2_def]) ).
thf('1',plain,
( cCKB_E2
= ( ^ [V_1: $i,V_2: $i] :
! [X4: $i > $o] :
( ( ( X4 @ V_1 )
& ! [X6: $i] :
( ( X4 @ X6 )
=> ( X4 @ ( s @ ( s @ X6 ) ) ) ) )
=> ( X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(cCKB_L34000_pme,conjecture,
! [Xx: $i,Xy: $i,Xz: $i] :
( ( ( cCKB_E2 @ Xx @ Xy )
& ( cCKB_E2 @ Xy @ Xz ) )
=> ( cCKB_E2 @ Xx @ Xz ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i,X8: $i] :
( ( ! [X14: $i > $o] :
( ( ! [X16: $i] :
( ( X14 @ X16 )
=> ( X14 @ ( s @ ( s @ X16 ) ) ) )
& ( X14 @ X6 ) )
=> ( X14 @ X8 ) )
& ! [X10: $i > $o] :
( ( ! [X12: $i] :
( ( X10 @ X12 )
=> ( X10 @ ( s @ ( s @ X12 ) ) ) )
& ( X10 @ X4 ) )
=> ( X10 @ X6 ) ) )
=> ! [X18: $i > $o] :
( ( ! [X20: $i] :
( ( X18 @ X20 )
=> ( X18 @ ( s @ ( s @ X20 ) ) ) )
& ( X18 @ X4 ) )
=> ( X18 @ X8 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i,X8: $i] :
( ( ! [X14: $i > $o] :
( ( ! [X16: $i] :
( ( X14 @ X16 )
=> ( X14 @ ( s @ ( s @ X16 ) ) ) )
& ( X14 @ X6 ) )
=> ( X14 @ X8 ) )
& ! [X10: $i > $o] :
( ( ! [X12: $i] :
( ( X10 @ X12 )
=> ( X10 @ ( s @ ( s @ X12 ) ) ) )
& ( X10 @ X4 ) )
=> ( X10 @ X6 ) ) )
=> ! [X18: $i > $o] :
( ( ! [X20: $i] :
( ( X18 @ X20 )
=> ( X18 @ ( s @ ( s @ X20 ) ) ) )
& ( X18 @ X4 ) )
=> ( X18 @ X8 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( !!
@ ^ [Y3: $i > $o] :
( ( ( !!
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( s @ ( s @ Y4 ) ) ) ) )
& ( Y3 @ Y1 ) )
=> ( Y3 @ Y2 ) ) )
& ( !!
@ ^ [Y3: $i > $o] :
( ( ( !!
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( s @ ( s @ Y4 ) ) ) ) )
& ( Y3 @ Y0 ) )
=> ( Y3 @ Y1 ) ) ) )
=> ( !!
@ ^ [Y3: $i > $o] :
( ( ( !!
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( s @ ( s @ Y4 ) ) ) ) )
& ( Y3 @ Y0 ) )
=> ( Y3 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( !!
@ ^ [Y2: $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( s @ ( s @ Y3 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) )
& ( !!
@ ^ [Y2: $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( s @ ( s @ Y3 ) ) ) ) )
& ( Y2 @ '#sk1' ) )
=> ( Y2 @ Y0 ) ) ) )
=> ( !!
@ ^ [Y2: $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( s @ ( s @ Y3 ) ) ) ) )
& ( Y2 @ '#sk1' ) )
=> ( Y2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( ( !!
@ ^ [Y1: $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( s @ ( s @ Y2 ) ) ) ) )
& ( Y1 @ '#sk2' ) )
=> ( Y1 @ Y0 ) ) )
& ( !!
@ ^ [Y1: $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( s @ ( s @ Y2 ) ) ) ) )
& ( Y1 @ '#sk1' ) )
=> ( Y1 @ '#sk2' ) ) ) )
=> ( !!
@ ^ [Y1: $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( s @ ( s @ Y2 ) ) ) ) )
& ( Y1 @ '#sk1' ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ( ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ ( s @ Y1 ) ) ) ) )
& ( Y0 @ '#sk2' ) )
=> ( Y0 @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ ( s @ Y1 ) ) ) ) )
& ( Y0 @ '#sk1' ) )
=> ( Y0 @ '#sk2' ) ) ) )
=> ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ ( s @ Y1 ) ) ) ) )
& ( Y0 @ '#sk1' ) )
=> ( Y0 @ '#sk3' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ ( s @ Y1 ) ) ) ) )
& ( Y0 @ '#sk1' ) )
=> ( Y0 @ '#sk3' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
~ ( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( s @ ( s @ Y0 ) ) ) ) )
& ( '#sk4' @ '#sk1' ) )
=> ( '#sk4' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
( ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( s @ ( s @ Y0 ) ) ) ) )
& ( '#sk4' @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl17,plain,
( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( s @ ( s @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl21,plain,
! [X2: $i] :
( ( '#sk4' @ X2 )
=> ( '#sk4' @ ( s @ ( s @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl24,plain,
! [X2: $i] :
( ~ ( '#sk4' @ X2 )
| ( '#sk4' @ ( s @ ( s @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl4,plain,
( ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ ( s @ Y1 ) ) ) ) )
& ( Y0 @ '#sk2' ) )
=> ( Y0 @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ ( s @ Y1 ) ) ) ) )
& ( Y0 @ '#sk1' ) )
=> ( Y0 @ '#sk2' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ ( s @ Y1 ) ) ) ) )
& ( Y0 @ '#sk1' ) )
=> ( Y0 @ '#sk2' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl11,plain,
! [X2: $i > $o] :
( ( ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X2 @ ( s @ ( s @ Y0 ) ) ) ) )
& ( X2 @ '#sk1' ) )
=> ( X2 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( s @ ( s @ Y0 ) ) ) ) )
& ( '#sk4' @ '#sk1' ) )
=> ( '#sk4' @ '#sk2' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl18,plain,
'#sk4' @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ ( s @ Y1 ) ) ) ) )
& ( Y0 @ '#sk2' ) )
=> ( Y0 @ '#sk3' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: $i > $o] :
( ( ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X2 @ ( s @ ( s @ Y0 ) ) ) ) )
& ( X2 @ '#sk2' ) )
=> ( X2 @ '#sk3' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10,plain,
( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( s @ ( s @ Y0 ) ) ) ) )
& ( '#sk4' @ '#sk2' ) )
=> ( '#sk4' @ '#sk3' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl14,plain,
~ ( '#sk4' @ '#sk3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl29,plain,
( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( s @ ( s @ Y0 ) ) ) ) )
& ( '#sk4' @ '#sk2' ) )
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl14]) ).
thf(zip_derived_cl30,plain,
( (~)
@ ( ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( s @ ( s @ Y0 ) ) ) ) )
& ( '#sk4' @ '#sk2' ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl31,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( s @ ( s @ Y0 ) ) ) ) )
& ( '#sk4' @ '#sk2' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl32,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( s @ ( s @ Y0 ) ) ) ) )
| ~ ( '#sk4' @ '#sk2' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl33,plain,
( ~ ( ( '#sk4' @ ( '#sk15' @ '#sk4' ) )
=> ( '#sk4' @ ( s @ ( s @ ( '#sk15' @ '#sk4' ) ) ) ) )
| ~ ( '#sk4' @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl35,plain,
( ~ ( '#sk4' @ ( s @ ( s @ ( '#sk15' @ '#sk4' ) ) ) )
| ~ ( '#sk4' @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl24_001,plain,
! [X2: $i] :
( ~ ( '#sk4' @ X2 )
| ( '#sk4' @ ( s @ ( s @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl36,plain,
( ~ ( '#sk4' @ '#sk2' )
| ~ ( '#sk4' @ ( '#sk15' @ '#sk4' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl24]) ).
thf(zip_derived_cl34,plain,
( ( '#sk4' @ ( '#sk15' @ '#sk4' ) )
| ~ ( '#sk4' @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl40,plain,
~ ( '#sk4' @ '#sk2' ),
inference(clc,[status(thm)],[zip_derived_cl36,zip_derived_cl34]) ).
thf(zip_derived_cl41,plain,
( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( s @ ( s @ Y0 ) ) ) ) )
& $true )
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl18,zip_derived_cl40]) ).
thf(zip_derived_cl42,plain,
( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( s @ ( s @ Y0 ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl43,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( '#sk4' @ Y0 )
=> ( '#sk4' @ ( s @ ( s @ Y0 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl44,plain,
~ ( ( '#sk4' @ ( '#sk15' @ '#sk4' ) )
=> ( '#sk4' @ ( s @ ( s @ ( '#sk15' @ '#sk4' ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl46,plain,
~ ( '#sk4' @ ( s @ ( s @ ( '#sk15' @ '#sk4' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl48,plain,
~ ( '#sk4' @ ( '#sk15' @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl46]) ).
thf(zip_derived_cl45,plain,
'#sk4' @ ( '#sk15' @ '#sk4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl51,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU970^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cL8vxZ0nhh true
% 0.14/0.35 % Computer : n020.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 : Wed Aug 23 18:09:30 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
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.66 % Estimated wc time : 1656
% 0.21/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.80 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.80 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.80 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.80 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.80 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.10/0.82 % Solved by lams/35_full_unif4.sh.
% 1.10/0.82 % done 7 iterations in 0.021s
% 1.10/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.10/0.82 % SZS output start Refutation
% See solution above
% 1.10/0.82
% 1.10/0.82
% 1.10/0.82 % Terminating...
% 1.82/0.89 % Runner terminated.
% 1.82/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------