%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM812^5 : TPTP v9.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.V3Pp0OaLDd true
% Computer : n009.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 1.39s 2.00s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 27 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 91 ( 24 ~; 12 |; 4 &; 40 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 4 ^; 23 !; 3 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__4_type,type,
sk__4: ( $i > $o ) > $i ).
thf(c0_type,type,
c0: $i ).
thf(cIND_type,type,
cIND: $o ).
thf(sk__3_type,type,
sk__3: $i ).
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(cTHM578,conjecture,
( cIND
=> ! [Xn: $i] :
( ? [Xm: $i] :
( Xn
= ( cS @ Xm ) )
| ( Xn = c0 ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i > $o] :
( ( ( X4 @ c0 )
& ! [X6: $i] :
( ( X4 @ X6 )
=> ( X4 @ ( cS @ X6 ) ) ) )
=> ! [X8: $i] : ( X4 @ X8 ) )
=> ! [X10: $i] :
( ? [X12: $i] :
( X10
= ( cS @ X12 ) )
| ( X10 = c0 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i > $o] :
( ( ( X4 @ c0 )
& ! [X6: $i] :
( ( X4 @ X6 )
=> ( X4 @ ( cS @ X6 ) ) ) )
=> ! [X8: $i] : ( X4 @ X8 ) )
=> ! [X10: $i] :
( ? [X12: $i] :
( X10
= ( cS @ X12 ) )
| ( X10 = c0 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i > $o,X1: $i] :
( ( X0 @ X1 )
| ~ ( X0 @ ( cS @ ( sk__4 @ X0 ) ) )
| ~ ( X0 @ c0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl83,plain,
! [X0: $i] :
( ( ^ [Y0: $i] : ( X0 != Y0 )
@ X0 )
| ~ ( ^ [Y0: $i] : ( X0 != Y0 )
@ ( cS
@ ( sk__4
@ ^ [Y0: $i] : ( X0 != Y0 ) ) ) )
| ~ ( ^ [Y0: $i] : ( X0 != Y0 )
@ c0 ) ),
inference('elim_leibniz_eq_+',[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl120,plain,
! [X0: $i] :
( ( X0 != X0 )
| ~ ( ( X0
!= ( cS @ ( sk__4 @ ( $i != X0 ) ) ) ) )
| ~ ( ( X0 != c0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl121,plain,
! [X0: $i] :
( ~ ( ( X0
!= ( cS @ ( sk__4 @ ( $i != X0 ) ) ) ) )
| ~ ( ( X0 != c0 ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl120]) ).
thf(zip_derived_cl122,plain,
! [X0: $i] :
( ( X0
= ( cS @ ( sk__4 @ ( $i != X0 ) ) ) )
| ( X0 = c0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl121]) ).
thf(zip_derived_cl2,plain,
! [X2: $i] :
( sk__3
!= ( cS @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl221,plain,
! [X0: $i] :
( ( sk__3 != X0 )
| ( X0 = c0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl2]) ).
thf(zip_derived_cl257,plain,
sk__3 = c0,
inference(simplify,[status(thm)],[zip_derived_cl221]) ).
thf(zip_derived_cl3,plain,
sk__3 != c0,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl258,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl257,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.69 % Problem : NUM812^5 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.11/0.77 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.V3Pp0OaLDd true
% 0.11/1.09 % Computer : n009.cluster.edu
% 0.11/1.09 % Model : x86_64 x86_64
% 0.11/1.09 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/1.09 % Memory : 8042.1875MB
% 0.11/1.09 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/1.09 % CPULimit : 300
% 0.11/1.09 % WCLimit : 300
% 0.11/1.09 % DateTime : Wed Oct 1 16:16:24 EDT 2025
% 0.11/1.10 % CPUTime :
% 0.11/1.10 % Running portfolio for 300 s
% 0.11/1.10 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/1.10 % Number of cores: 8
% 0.11/1.12 % Python version: Python 3.6.8
% 0.11/1.13 % Running in HO mode
% 0.30/1.54 % Total configuration time : 828
% 0.30/1.54 % Estimated wc time : 1656
% 0.30/1.54 % Estimated cpu time (8 cpus) : 207.0
% 1.05/1.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.36/1.81 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.36/1.82 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.38/1.85 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.38/1.89 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.38/1.91 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.38/1.92 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.38/1.94 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.39/2.00 % Solved by lams/40_c.s.sh.
% 1.39/2.00 % done 18 iterations in 0.179s
% 1.39/2.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.39/2.00 % SZS output start Refutation
% See solution above
% 1.39/2.00
% 1.39/2.00
% 1.39/2.00 % Terminating...
% 1.76/2.21 % Runner terminated.
% 1.76/2.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------