TSTP Solution File: PUZ103^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ103^5 : 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.NR09VRVH45 true
% Computer : n019.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 13:31:09 EDT 2023
% Result : Theorem 0.22s 0.79s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 8 unt; 6 typ; 0 def)
% Number of atoms : 71 ( 3 equ; 1 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 252 ( 14 ~; 2 |; 18 &; 152 @)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 6 usr; 6 con; 0-2 aty)
% ( 21 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 45 ( 24 ^; 21 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(c1_type,type,
c1: $i ).
thf('#sk1_type',type,
'#sk1': $i ).
thf('#sk9_type',type,
'#sk9': ( $i > $o ) > $i ).
thf(cCKB6_NUM_type,type,
cCKB6_NUM: $i > $o ).
thf(s_type,type,
s: $i > $i ).
thf('#sk2_type',type,
'#sk2': $i > $o ).
thf(cCKB6_NUM_def,axiom,
( cCKB6_NUM
= ( ^ [Xx: $i] :
! [Xp: $i > $o] :
( ( ( Xp @ c1 )
& ! [Xw: $i] :
( ( Xp @ Xw )
=> ( Xp @ ( s @ Xw ) ) ) )
=> ( Xp @ Xx ) ) ) ) ).
thf('0',plain,
( cCKB6_NUM
= ( ^ [Xx: $i] :
! [Xp: $i > $o] :
( ( ( Xp @ c1 )
& ! [Xw: $i] :
( ( Xp @ Xw )
=> ( Xp @ ( s @ Xw ) ) ) )
=> ( Xp @ Xx ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cCKB6_NUM_def]) ).
thf('1',plain,
( cCKB6_NUM
= ( ^ [V_1: $i] :
! [X4: $i > $o] :
( ( ( X4 @ c1 )
& ! [X6: $i] :
( ( X4 @ X6 )
=> ( X4 @ ( s @ X6 ) ) ) )
=> ( X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(cCKB6_L3000,conjecture,
! [Xx: $i] :
( ( cCKB6_NUM @ Xx )
=> ( cCKB6_NUM @ ( s @ Xx ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ! [X6: $i > $o] :
( ( ! [X8: $i] :
( ( X6 @ X8 )
=> ( X6 @ ( s @ X8 ) ) )
& ( X6 @ c1 ) )
=> ( X6 @ X4 ) )
=> ! [X10: $i > $o] :
( ( ! [X12: $i] :
( ( X10 @ X12 )
=> ( X10 @ ( s @ X12 ) ) )
& ( X10 @ c1 ) )
=> ( X10 @ ( s @ X4 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ! [X6: $i > $o] :
( ( ! [X8: $i] :
( ( X6 @ X8 )
=> ( X6 @ ( s @ X8 ) ) )
& ( X6 @ c1 ) )
=> ( X6 @ X4 ) )
=> ! [X10: $i > $o] :
( ( ! [X12: $i] :
( ( X10 @ X12 )
=> ( X10 @ ( s @ X12 ) ) )
& ( X10 @ c1 ) )
=> ( X10 @ ( s @ X4 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( s @ Y2 ) ) ) )
& ( Y1 @ c1 ) )
=> ( Y1 @ Y0 ) ) )
=> ( !!
@ ^ [Y1: $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( s @ Y2 ) ) ) )
& ( Y1 @ c1 ) )
=> ( Y1 @ ( s @ Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ '#sk1' ) ) )
=> ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ ( s @ '#sk1' ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ ( s @ '#sk1' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
~ ( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
=> ( '#sk2' @ ( s @ Y0 ) ) ) )
& ( '#sk2' @ c1 ) )
=> ( '#sk2' @ ( s @ '#sk1' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
( ( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
=> ( '#sk2' @ ( s @ Y0 ) ) ) )
& ( '#sk2' @ c1 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
=> ( '#sk2' @ ( s @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl14,plain,
! [X2: $i] :
( ( '#sk2' @ X2 )
=> ( '#sk2' @ ( s @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl17,plain,
! [X2: $i] :
( ~ ( '#sk2' @ X2 )
| ( '#sk2' @ ( s @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ '#sk1' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
! [X2: $i > $o] :
( ( ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X2 @ ( s @ Y0 ) ) ) )
& ( X2 @ c1 ) )
=> ( X2 @ '#sk1' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
=> ( '#sk2' @ ( s @ Y0 ) ) ) )
& ( '#sk2' @ c1 ) )
=> ( '#sk2' @ '#sk1' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl12,plain,
'#sk2' @ c1,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl17_001,plain,
! [X2: $i] :
( ~ ( '#sk2' @ X2 )
| ( '#sk2' @ ( s @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl9,plain,
~ ( '#sk2' @ ( s @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl18,plain,
~ ( '#sk2' @ '#sk1' ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl9]) ).
thf(zip_derived_cl22,plain,
( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
=> ( '#sk2' @ ( s @ Y0 ) ) ) )
& $true )
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl12,zip_derived_cl18]) ).
thf(zip_derived_cl23,plain,
( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
=> ( '#sk2' @ ( s @ Y0 ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl24,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
=> ( '#sk2' @ ( s @ Y0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl25,plain,
~ ( ( '#sk2' @ ( '#sk9' @ '#sk2' ) )
=> ( '#sk2' @ ( s @ ( '#sk9' @ '#sk2' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl27,plain,
~ ( '#sk2' @ ( s @ ( '#sk9' @ '#sk2' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl29,plain,
~ ( '#sk2' @ ( '#sk9' @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl27]) ).
thf(zip_derived_cl26,plain,
'#sk2' @ ( '#sk9' @ '#sk2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl32,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ103^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NR09VRVH45 true
% 0.14/0.35 % Computer : n019.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
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 22:08:13 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/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
% 0.22/0.67 % Total configuration time : 828
% 0.22/0.67 % Estimated wc time : 1656
% 0.22/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.79 % Solved by lams/35_full_unif4.sh.
% 0.22/0.79 % done 8 iterations in 0.013s
% 0.22/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.79 % SZS output start Refutation
% See solution above
% 0.22/0.79
% 0.22/0.79
% 0.22/0.79 % Terminating...
% 0.98/0.87 % Runner terminated.
% 0.98/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------