%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM674^4 : TPTP v9.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bKMPCDyOs8 true
% Computer : n002.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 04:47:56 PM UTC 2025
% Result : Theorem 0.58s 0.86s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of formulae : 22 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 70 ( 34 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 128 ( 12 ~; 0 |; 0 &; 104 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 48 ( 39 ^; 9 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i ).
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(d_Sep_type,type,
d_Sep: $i > ( $i > $o ) > $i ).
thf(ap_type,type,
ap: $i > $i > $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(n_is_type,type,
n_is: $i > $i > $o ).
thf(omega_type,type,
omega: $i ).
thf(all_of_type,type,
all_of: ( $i > $o ) > ( $i > $o ) > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(plus_type,type,
plus: $i > $i ).
thf(e_is_type,type,
e_is: $i > $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(n_pl_type,type,
n_pl: $i > $i > $i ).
thf(def_n_pl,axiom,
( n_pl
= ( ^ [X0: $i] : ( ap @ ( plus @ X0 ) ) ) ) ).
thf('0',plain,
( n_pl
= ( ^ [X0: $i] : ( ap @ ( plus @ X0 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_n_pl]) ).
thf('1',plain,
( n_pl
= ( ^ [V_1: $i] : ( ap @ ( plus @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(def_n_is,axiom,
( n_is
= ( e_is @ nat ) ) ).
thf(def_nat,axiom,
( nat
= ( d_Sep @ omega
@ ^ [X0: $i] : ( X0 != emptyset ) ) ) ).
thf('2',plain,
( nat
= ( d_Sep @ omega
@ ^ [X0: $i] : ( X0 != emptyset ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_nat]) ).
thf('3',plain,
( nat
= ( d_Sep @ omega
@ ^ [V_1: $i] : ( V_1 != emptyset ) ) ),
define([status(thm)]) ).
thf(def_e_is,axiom,
( e_is
= ( ^ [X0: $i,X: $i,Y: $i] : ( X = Y ) ) ) ).
thf('4',plain,
( e_is
= ( ^ [X0: $i,X: $i,Y: $i] : ( X = Y ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_e_is]) ).
thf('5',plain,
( e_is
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( V_2 = V_3 ) ) ),
define([status(thm)]) ).
thf('6',plain,
( n_is
= ( e_is @ nat ) ),
inference(simplify_rw_rule,[status(thm)],[def_n_is,'3','5']) ).
thf('7',plain,
( n_is
= ( e_is @ 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('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]) ).
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(satz19e,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_is @ X0 @ X1 )
=> ( n_is @ ( n_pl @ X2 @ X0 ) @ ( n_pl @ X2 @ X1 ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ( is_of @ X4
@ ^ [V_1: $i] :
( in @ V_1
@ ( d_Sep @ omega
@ ^ [V_2: $i] : ( V_2 != emptyset ) ) ) )
=> ! [X6: $i] :
( ( is_of @ X6
@ ^ [V_3: $i] :
( in @ V_3
@ ( d_Sep @ omega
@ ^ [V_4: $i] : ( V_4 != emptyset ) ) ) )
=> ! [X8: $i] :
( ( is_of @ X8
@ ^ [V_5: $i] :
( in @ V_5
@ ( d_Sep @ omega
@ ^ [V_6: $i] : ( V_6 != emptyset ) ) ) )
=> ( ( X4 = X6 )
=> ( ( ap @ ( plus @ X8 ) @ X4 )
= ( ap @ ( plus @ X8 ) @ X6 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ( is_of @ X4
@ ^ [V_1: $i] :
( in @ V_1
@ ( d_Sep @ omega
@ ^ [V_2: $i] : ( V_2 != emptyset ) ) ) )
=> ! [X6: $i] :
( ( is_of @ X6
@ ^ [V_3: $i] :
( in @ V_3
@ ( d_Sep @ omega
@ ^ [V_4: $i] : ( V_4 != emptyset ) ) ) )
=> ! [X8: $i] :
( ( is_of @ X8
@ ^ [V_5: $i] :
( in @ V_5
@ ( d_Sep @ omega
@ ^ [V_6: $i] : ( V_6 != emptyset ) ) ) )
=> ( ( X4 = X6 )
=> ( ( ap @ ( plus @ X8 ) @ X4 )
= ( ap @ ( plus @ X8 ) @ X6 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41,plain,
( ( ap @ ( plus @ sk__4 ) @ sk__2 )
!= ( ap @ ( plus @ sk__4 ) @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl42,plain,
sk__2 = sk__3,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl45,plain,
( ( ap @ ( plus @ sk__4 ) @ sk__2 )
!= ( ap @ ( plus @ sk__4 ) @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl42]) ).
thf(zip_derived_cl46,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : NUM674^4 : TPTP v9.2.0. Released v7.1.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bKMPCDyOs8 true
% 0.14/0.36 % Computer : n002.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 16:38:53 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
% 0.14/0.36 % Running in HO mode
% 0.55/0.65 % Total configuration time : 828
% 0.55/0.65 % Estimated wc time : 1656
% 0.55/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.86 % Solved by lams/40_c.s.sh.
% 0.58/0.86 % done 4 iterations in 0.077s
% 0.58/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.86 % SZS output start Refutation
% See solution above
% 0.58/0.86
% 0.58/0.86
% 0.58/0.86 % Terminating...
% 1.63/1.06 % Runner terminated.
% 1.66/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------