%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM747^4 : TPTP v9.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UpaTxNWOmw true
% Computer : n014.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 04:48:12 PM UTC 2025
% Result : Theorem 155.91s 20.45s
% Output : Refutation 155.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of formulae : 26 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 77 ( 23 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 283 ( 5 ~; 3 |; 0 &; 263 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 54 ( 39 ^; 15 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $i ).
thf(is_of_type,type,
is_of: $i > ( $i > $o ) > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(n_pf_type,type,
n_pf: $i > $i > $i ).
thf(n_fr_type,type,
n_fr: $i > $i > $i ).
thf(n_is_type,type,
n_is: $i > $i > $o ).
thf(n_ts_type,type,
n_ts: $i > $i > $i ).
thf(n_eq_type,type,
n_eq: $i > $i > $o ).
thf(sk__175_type,type,
sk__175: $i ).
thf(all_of_type,type,
all_of: ( $i > $o ) > ( $i > $o ) > $o ).
thf(num_type,type,
num: $i > $i ).
thf(sk__177_type,type,
sk__177: $i ).
thf(sk__176_type,type,
sk__176: $i ).
thf(den_type,type,
den: $i > $i ).
thf(e_is_type,type,
e_is: $i > $i > $i > $o ).
thf(n_pl_type,type,
n_pl: $i > $i > $i ).
thf(def_n_eq,axiom,
( n_eq
= ( ^ [X0: $i,X1: $i] : ( n_is @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) ) ) ).
thf(def_n_is,axiom,
( n_is
= ( e_is @ nat ) ) ).
thf(def_e_is,axiom,
( e_is
= ( ^ [X0: $i,X: $i,Y: $i] : ( X = Y ) ) ) ).
thf('0',plain,
( e_is
= ( ^ [X0: $i,X: $i,Y: $i] : ( X = Y ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_e_is]) ).
thf('1',plain,
( e_is
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( V_2 = V_3 ) ) ),
define([status(thm)]) ).
thf('2',plain,
( n_is
= ( e_is @ nat ) ),
inference(simplify_rw_rule,[status(thm)],[def_n_is,'1']) ).
thf('3',plain,
( n_is
= ( e_is @ nat ) ),
define([status(thm)]) ).
thf('4',plain,
( n_eq
= ( ^ [X0: $i,X1: $i] : ( n_is @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_n_eq,'3','1']) ).
thf('5',plain,
( n_eq
= ( ^ [V_1: $i,V_2: $i] : ( n_is @ ( n_ts @ ( num @ V_1 ) @ ( den @ V_2 ) ) @ ( n_ts @ ( num @ V_2 ) @ ( den @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(def_all_of,axiom,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ) ).
thf(def_is_of,axiom,
( is_of
= ( ^ [X0: $i,X1: $i > $o] : ( X1 @ X0 ) ) ) ).
thf('6',plain,
( is_of
= ( ^ [X0: $i,X1: $i > $o] : ( X1 @ X0 ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_is_of]) ).
thf('7',plain,
( is_of
= ( ^ [V_1: $i,V_2: $i > $o] : ( V_2 @ V_1 ) ) ),
define([status(thm)]) ).
thf('8',plain,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_all_of,'7']) ).
thf('9',plain,
( all_of
= ( ^ [V_1: $i > $o,V_2: $i > $o] :
! [X4: $i] :
( ( is_of @ X4 @ V_1 )
=> ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(satz57a,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X2: $i] : ( n_eq @ ( n_fr @ ( n_pl @ X0 @ X1 ) @ X2 ) @ ( n_pf @ ( n_fr @ X0 @ X2 ) @ ( n_fr @ X1 @ X2 ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ( in @ X4 @ nat )
=> ! [X6: $i] :
( ( in @ X6 @ nat )
=> ! [X8: $i] :
( ( in @ X8 @ nat )
=> ( ( n_ts @ ( num @ ( n_fr @ ( n_pl @ X4 @ X6 ) @ X8 ) ) @ ( den @ ( n_pf @ ( n_fr @ X4 @ X8 ) @ ( n_fr @ X6 @ X8 ) ) ) )
= ( n_ts @ ( num @ ( n_pf @ ( n_fr @ X4 @ X8 ) @ ( n_fr @ X6 @ X8 ) ) ) @ ( den @ ( n_fr @ ( n_pl @ X4 @ X6 ) @ X8 ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ( in @ X4 @ nat )
=> ! [X6: $i] :
( ( in @ X6 @ nat )
=> ! [X8: $i] :
( ( in @ X8 @ nat )
=> ( ( n_ts @ ( num @ ( n_fr @ ( n_pl @ X4 @ X6 ) @ X8 ) ) @ ( den @ ( n_pf @ ( n_fr @ X4 @ X8 ) @ ( n_fr @ X6 @ X8 ) ) ) )
= ( n_ts @ ( num @ ( n_pf @ ( n_fr @ X4 @ X8 ) @ ( n_fr @ X6 @ X8 ) ) ) @ ( den @ ( n_fr @ ( n_pl @ X4 @ X6 ) @ X8 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl695,plain,
in @ sk__176 @ nat,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl692,plain,
in @ sk__175 @ nat,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl693,plain,
in @ sk__177 @ nat,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl694,plain,
( ( n_ts @ ( num @ ( n_fr @ ( n_pl @ sk__175 @ sk__176 ) @ sk__177 ) ) @ ( den @ ( n_pf @ ( n_fr @ sk__175 @ sk__177 ) @ ( n_fr @ sk__176 @ sk__177 ) ) ) )
!= ( n_ts @ ( num @ ( n_pf @ ( n_fr @ sk__175 @ sk__177 ) @ ( n_fr @ sk__176 @ sk__177 ) ) ) @ ( den @ ( n_fr @ ( n_pl @ sk__175 @ sk__176 ) @ sk__177 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(satz57,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X2: $i] : ( n_eq @ ( n_pf @ ( n_fr @ X0 @ X2 ) @ ( n_fr @ X1 @ X2 ) ) @ ( n_fr @ ( n_pl @ X0 @ X1 ) @ X2 ) ) ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i] :
( ( in @ X4 @ nat )
=> ! [X6: $i] :
( ( in @ X6 @ nat )
=> ! [X8: $i] :
( ( in @ X8 @ nat )
=> ( ( n_ts @ ( num @ ( n_pf @ ( n_fr @ X4 @ X8 ) @ ( n_fr @ X6 @ X8 ) ) ) @ ( den @ ( n_fr @ ( n_pl @ X4 @ X6 ) @ X8 ) ) )
= ( n_ts @ ( num @ ( n_fr @ ( n_pl @ X4 @ X6 ) @ X8 ) ) @ ( den @ ( n_pf @ ( n_fr @ X4 @ X8 ) @ ( n_fr @ X6 @ X8 ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl691,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ nat )
| ( ( n_ts @ ( num @ ( n_pf @ ( n_fr @ X1 @ X2 ) @ ( n_fr @ X0 @ X2 ) ) ) @ ( den @ ( n_fr @ ( n_pl @ X1 @ X0 ) @ X2 ) ) )
= ( n_ts @ ( num @ ( n_fr @ ( n_pl @ X1 @ X0 ) @ X2 ) ) @ ( den @ ( n_pf @ ( n_fr @ X1 @ X2 ) @ ( n_fr @ X0 @ X2 ) ) ) ) )
| ~ ( in @ X2 @ nat )
| ~ ( in @ X1 @ nat ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl31548,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl695,zip_derived_cl692,zip_derived_cl693,zip_derived_cl694,zip_derived_cl691]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : NUM747^4 : TPTP v9.2.0. Released v7.1.0.
% 0.02/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UpaTxNWOmw true
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 16:18:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.56/0.69 % Total configuration time : 828
% 0.56/0.69 % Estimated wc time : 1656
% 0.56/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 155.91/20.45 % Solved by lams/40_noforms.sh.
% 155.91/20.45 % done 1859 iterations in 19.608s
% 155.91/20.45 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 155.91/20.45 % SZS output start Refutation
% See solution above
% 155.91/20.45
% 155.91/20.45
% 155.91/20.45 % Terminating...
% 156.13/20.56 % Runner terminated.
% 156.17/20.59 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------