%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM809^5 : TPTP v9.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UkAOPwLdc5 true
% Computer : n027.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 Oct 2 04:48:25 PM UTC 2025
% Result : Theorem 0.57s 0.97s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 85 ( 2 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 367 ( 21 ~; 18 |; 19 &; 248 @)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 6 con; 0-2 aty)
% ( 27 !!; 3 ??; 0 @@+; 0 @@-)
% Number of variables : 96 ( 51 ^; 42 !; 3 ?; 96 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk11_type',type,
'#sk11': ( $i > $o ) > $i ).
thf(c0_type,type,
c0: $i ).
thf(r_type,type,
r: $i > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(cIND_type,type,
cIND: $o ).
thf(cS_type,type,
cS: $i > $i ).
thf(cIND_def,axiom,
( cIND
= ( ! [Xp: $i > $o] :
( ( ( Xp @ c0 )
& ! [Xx: $i] :
( ( Xp @ Xx )
=> ( Xp @ ( cS @ Xx ) ) ) )
=> ! [Xx: $i] : ( Xp @ Xx ) ) ) ) ).
thf('0',plain,
( cIND
= ( ! [X4: $i > $o] :
( ( ( X4 @ c0 )
& ! [X6: $i] :
( ( X4 @ X6 )
=> ( X4 @ ( cS @ X6 ) ) ) )
=> ! [X8: $i] : ( X4 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(cTHM130,conjecture,
( ( cIND
& ( r @ c0 @ c0 )
& ! [Xx: $i,Xy: $i] :
( ( r @ Xx @ Xy )
=> ( r @ ( cS @ Xx ) @ ( cS @ Xy ) ) ) )
=> ! [Xx: $i] :
? [Xy: $i] : ( r @ Xx @ Xy ) ) ).
thf(zf_stmt_0,conjecture,
( ( ! [X10: $i,X12: $i] :
( ( r @ X10 @ X12 )
=> ( r @ ( cS @ X10 ) @ ( cS @ X12 ) ) )
& ( r @ c0 @ c0 )
& ! [X4: $i > $o] :
( ( ! [X6: $i] :
( ( X4 @ X6 )
=> ( X4 @ ( cS @ X6 ) ) )
& ( X4 @ c0 ) )
=> ! [X8: $i] : ( X4 @ X8 ) ) )
=> ! [X14: $i] :
? [X16: $i] : ( r @ X14 @ X16 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ( ! [X10: $i,X12: $i] :
( ( r @ X10 @ X12 )
=> ( r @ ( cS @ X10 ) @ ( cS @ X12 ) ) )
& ( r @ c0 @ c0 )
& ! [X4: $i > $o] :
( ( ! [X6: $i] :
( ( X4 @ X6 )
=> ( X4 @ ( cS @ X6 ) ) )
& ( X4 @ c0 ) )
=> ! [X8: $i] : ( X4 @ X8 ) ) )
=> ! [X14: $i] :
? [X16: $i] : ( r @ X14 @ X16 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( r @ Y0 @ Y1 )
=> ( r @ ( cS @ Y0 ) @ ( cS @ Y1 ) ) ) ) )
& ( r @ c0 @ c0 )
& ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ c0 ) )
=> ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( r @ Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( r @ Y0 @ Y1 )
=> ( r @ ( cS @ Y0 ) @ ( cS @ Y1 ) ) ) ) )
& ( r @ c0 @ c0 )
& ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ c0 ) )
=> ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( r @ Y0 @ Y1 )
=> ( r @ ( cS @ Y0 ) @ ( cS @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( r @ X2 @ Y0 )
=> ( r @ ( cS @ X2 ) @ ( cS @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i] :
( ( r @ X2 @ X4 )
=> ( r @ ( cS @ X2 ) @ ( cS @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
! [X2: $i,X4: $i] :
( ~ ( r @ X2 @ X4 )
| ( r @ ( cS @ X2 ) @ ( cS @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl4,plain,
r @ c0 @ c0,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ c0 ) )
=> ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl8,plain,
! [X2: $i > $o] :
( ( ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X2 @ ( cS @ Y0 ) ) ) )
& ( X2 @ c0 ) )
=> ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
! [X2: $i > $o] :
( ~ ( ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X2 @ ( cS @ Y0 ) ) ) )
& ( X2 @ c0 ) )
| ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl13,plain,
! [X2: $i > $o] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X2 @ ( cS @ Y0 ) ) ) )
| ~ ( X2 @ c0 )
| ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl14,plain,
! [X2: $i > $o] :
( ~ ( ( X2 @ ( '#sk11' @ X2 ) )
=> ( X2 @ ( cS @ ( '#sk11' @ X2 ) ) ) )
| ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) )
| ~ ( X2 @ c0 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl16,plain,
! [X2: $i > $o] :
( ~ ( X2 @ ( cS @ ( '#sk11' @ X2 ) ) )
| ~ ( X2 @ c0 )
| ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl18,plain,
! [X2: $i > $o,X4: $i] :
( ( X2 @ X4 )
| ~ ( X2 @ c0 )
| ~ ( X2 @ ( cS @ ( '#sk11' @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl27,plain,
! [X0: $i] :
( ~ ( ^ [Y0: $i] :
( r
@ ( ^ [Y1: $i] : Y1
@ Y0 )
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( cS
@ ( '#sk11'
@ ^ [Y0: $i] :
( r
@ ( ^ [Y1: $i] : Y1
@ Y0 )
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) )
| ( ^ [Y0: $i] :
( r
@ ( ^ [Y1: $i] : Y1
@ Y0 )
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl18]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ~ ( r
@ ( cS
@ ( '#sk11'
@ ^ [Y0: $i] : ( r @ Y0 @ Y0 ) ) )
@ ( cS
@ ( '#sk11'
@ ^ [Y0: $i] : ( r @ Y0 @ Y0 ) ) ) )
| ( r @ X0 @ X0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ~ ( r
@ ( '#sk11'
@ ^ [Y0: $i] : ( r @ Y0 @ Y0 ) )
@ ( '#sk11'
@ ^ [Y0: $i] : ( r @ Y0 @ Y0 ) ) )
| ( r @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl36]) ).
thf(zip_derived_cl4_001,plain,
r @ c0 @ c0,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl15,plain,
! [X2: $i > $o] :
( ( X2 @ ( '#sk11' @ X2 ) )
| ~ ( X2 @ c0 )
| ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl17,plain,
! [X2: $i > $o,X4: $i] :
( ( X2 @ X4 )
| ~ ( X2 @ c0 )
| ( X2 @ ( '#sk11' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl19,plain,
! [X0: $i > $o] :
( ( X0 @ ( '#sk11' @ X0 ) )
| ~ ( X0 @ c0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl20,plain,
( ^ [Y0: $i] :
( r
@ ( ^ [Y1: $i] : Y1
@ Y0 )
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( '#sk11'
@ ^ [Y0: $i] :
( r
@ ( ^ [Y1: $i] : Y1
@ Y0 )
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl19]) ).
thf(zip_derived_cl24,plain,
( r
@ ( '#sk11'
@ ^ [Y0: $i] : ( r @ Y0 @ Y0 ) )
@ ( '#sk11'
@ ^ [Y0: $i] : ( r @ Y0 @ Y0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl49,plain,
! [X0: $i] : ( r @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl24]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( r @ Y0 @ Y1 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
~ ( ??
@ ^ [Y0: $i] : ( r @ '#sk1' @ Y0 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
! [X2: $i] :
~ ( r @ '#sk1' @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl50,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : NUM809^5 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UkAOPwLdc5 true
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 16:18:38 EDT 2025
% 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
% 0.14/0.37 % Running in HO mode
% 0.55/0.68 % Total configuration time : 828
% 0.55/0.68 % Estimated wc time : 1656
% 0.55/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.80 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.81 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.82 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.85 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.97 % Solved by lams/20_acsne_simpl.sh.
% 0.57/0.97 % done 14 iterations in 0.040s
% 0.57/0.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.97 % SZS output start Refutation
% See solution above
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 % Terminating...
% 1.98/1.14 % Runner terminated.
% 1.98/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------