%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM736^4 : 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.ALGcUF841a 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 04:48:09 PM UTC 2025
% Result : Theorem 5.14s 1.23s
% Output : Refutation 5.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 18
% Syntax : Number of formulae : 29 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 105 ( 24 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 250 ( 2 ~; 0 |; 0 &; 233 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 4 con; 0-3 aty)
% ( 2 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 64 ( 57 ^; 7 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
thf(d_29_ii_type,type,
d_29_ii: $i > $i > $o ).
thf(lessf_type,type,
lessf: $i > $i > $o ).
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(l_some_type,type,
l_some: $i > ( $i > $o ) > $o ).
thf(n_is_type,type,
n_is: $i > $i > $o ).
thf(frac_type,type,
frac: $i ).
thf(n_ts_type,type,
n_ts: $i > $i > $i ).
thf(pair1type_type,type,
pair1type: $i > $i ).
thf(all_of_type,type,
all_of: ( $i > $o ) > ( $i > $o ) > $o ).
thf(diffprop_type,type,
diffprop: $i > $i > $i > $o ).
thf(num_type,type,
num: $i > $i ).
thf(n_some_type,type,
n_some: ( $i > $o ) > $o ).
thf(moref_type,type,
moref: $i > $i > $o ).
thf(den_type,type,
den: $i > $i ).
thf(iii_type,type,
iii: $i > $i > $o ).
thf(n_pl_type,type,
n_pl: $i > $i > $i ).
thf(def_lessf,axiom,
( lessf
= ( ^ [X0: $i,X1: $i] : ( iii @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) ) ) ).
thf(def_iii,axiom,
( iii
= ( ^ [X0: $i,X1: $i] : ( n_some @ ( diffprop @ X1 @ X0 ) ) ) ) ).
thf(def_diffprop,axiom,
( diffprop
= ( ^ [X0: $i,X1: $i,X2: $i] : ( n_is @ X0 @ ( n_pl @ X1 @ X2 ) ) ) ) ).
thf('0',plain,
( diffprop
= ( ^ [X0: $i,X1: $i,X2: $i] : ( n_is @ X0 @ ( n_pl @ X1 @ X2 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_diffprop]) ).
thf('1',plain,
( diffprop
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( n_is @ V_1 @ ( n_pl @ V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(def_n_some,axiom,
( n_some
= ( l_some @ nat ) ) ).
thf('2',plain,
( n_some
= ( l_some @ nat ) ),
inference(simplify_rw_rule,[status(thm)],[def_n_some]) ).
thf('3',plain,
( n_some
= ( l_some @ nat ) ),
define([status(thm)]) ).
thf('4',plain,
( iii
= ( ^ [X0: $i,X1: $i] : ( n_some @ ( diffprop @ X1 @ X0 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_iii,'1','3']) ).
thf('5',plain,
( iii
= ( ^ [V_1: $i,V_2: $i] : ( n_some @ ( diffprop @ V_2 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf('6',plain,
( lessf
= ( ^ [X0: $i,X1: $i] : ( iii @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_lessf,'5','1','3']) ).
thf('7',plain,
( lessf
= ( ^ [V_1: $i,V_2: $i] : ( iii @ ( n_ts @ ( num @ V_1 ) @ ( den @ V_2 ) ) @ ( n_ts @ ( num @ V_2 ) @ ( den @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(def_moref,axiom,
( moref
= ( ^ [X0: $i,X1: $i] : ( d_29_ii @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) ) ) ).
thf(def_d_29_ii,axiom,
( d_29_ii
= ( ^ [X0: $i,X1: $i] : ( n_some @ ( diffprop @ X0 @ X1 ) ) ) ) ).
thf('8',plain,
( d_29_ii
= ( ^ [X0: $i,X1: $i] : ( n_some @ ( diffprop @ X0 @ X1 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_d_29_ii,'1','3']) ).
thf('9',plain,
( d_29_ii
= ( ^ [V_1: $i,V_2: $i] : ( n_some @ ( diffprop @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf('10',plain,
( moref
= ( ^ [X0: $i,X1: $i] : ( d_29_ii @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_moref,'9','1','3']) ).
thf('11',plain,
( moref
= ( ^ [V_1: $i,V_2: $i] : ( d_29_ii @ ( n_ts @ ( num @ V_1 ) @ ( den @ V_2 ) ) @ ( n_ts @ ( num @ V_2 ) @ ( den @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(def_frac,axiom,
( frac
= ( pair1type @ nat ) ) ).
thf('12',plain,
( frac
= ( pair1type @ nat ) ),
inference(simplify_rw_rule,[status(thm)],[def_frac]) ).
thf('13',plain,
( frac
= ( pair1type @ nat ) ),
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('14',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]) ).
thf('15',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(satz42,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ frac )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ frac )
@ ^ [X1: $i] :
( ( moref @ X0 @ X1 )
=> ( lessf @ X1 @ X0 ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ( is_of @ X4
@ ^ [V_1: $i] : ( in @ V_1 @ ( pair1type @ nat ) ) )
=> ! [X6: $i] :
( ( is_of @ X6
@ ^ [V_2: $i] : ( in @ V_2 @ ( pair1type @ nat ) ) )
=> ( ( l_some @ nat
@ ^ [V_3: $i] : ( n_is @ ( n_ts @ ( num @ X4 ) @ ( den @ X6 ) ) @ ( n_pl @ ( n_ts @ ( num @ X6 ) @ ( den @ X4 ) ) @ V_3 ) ) )
=> ( l_some @ nat
@ ^ [V_4: $i] : ( n_is @ ( n_ts @ ( num @ X4 ) @ ( den @ X6 ) ) @ ( n_pl @ ( n_ts @ ( num @ X6 ) @ ( den @ X4 ) ) @ V_4 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ( is_of @ X4
@ ^ [V_1: $i] : ( in @ V_1 @ ( pair1type @ nat ) ) )
=> ! [X6: $i] :
( ( is_of @ X6
@ ^ [V_2: $i] : ( in @ V_2 @ ( pair1type @ nat ) ) )
=> ( ( l_some @ nat
@ ^ [V_3: $i] : ( n_is @ ( n_ts @ ( num @ X4 ) @ ( den @ X6 ) ) @ ( n_pl @ ( n_ts @ ( num @ X6 ) @ ( den @ X4 ) ) @ V_3 ) ) )
=> ( l_some @ nat
@ ^ [V_4: $i] : ( n_is @ ( n_ts @ ( num @ X4 ) @ ( den @ X6 ) ) @ ( n_pl @ ( n_ts @ ( num @ X6 ) @ ( den @ X4 ) ) @ V_4 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl134,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ ( pair1type @ nat ) ) )
=> ( !!
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ ( pair1type @ nat ) ) )
=> ( ( l_some @ nat
@ ^ [Y2: $i] : ( n_is @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_pl @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) @ Y2 ) ) )
=> ( l_some @ nat
@ ^ [Y2: $i] : ( n_is @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_pl @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) @ Y2 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl259,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM736^4 : TPTP v9.2.0. Released v7.1.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ALGcUF841a true
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 16:15:53 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in HO mode
% 0.48/0.63 % Total configuration time : 828
% 0.48/0.63 % Estimated wc time : 1656
% 0.48/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 5.14/1.23 % Solved by lams/30_sp5.sh.
% 5.14/1.23 % done 0 iterations in 0.489s
% 5.14/1.23 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.14/1.23 % SZS output start Refutation
% See solution above
% 5.14/1.23
% 5.14/1.23
% 5.14/1.23 % Terminating...
% 5.39/1.35 % Runner terminated.
% 5.39/1.36 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------