%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW473_3 : TPTP v9.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VI3iSOTmnA true
% Computer : n001.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 05:02:54 PM UTC 2025
% Result : Theorem 4.27s 1.19s
% Output : Refutation 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 175 ( 9 ~; 4 |; 1 &; 159 @)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 9 avg)
% Number of types : 14 ( 13 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 18 usr; 9 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(bool_type,type,
bool: $tType ).
thf(fun_fu1430349052l_bool_type,type,
fun_fu1430349052l_bool: $tType ).
thf(fun_pn422929397l_bool_type,type,
fun_pn422929397l_bool: $tType ).
thf(pname_type,type,
pname: $tType ).
thf(fun_pname_bool_type,type,
fun_pname_bool: $tType ).
thf(fun_fun_a_bool_bool_type,type,
fun_fun_a_bool_bool: $tType ).
thf(fun_a_1255737515l_bool_type,type,
fun_a_1255737515l_bool: $tType ).
thf(x_a_type,type,
x_a: $tType ).
thf(fun_pname_a_type,type,
fun_pname_a: $tType ).
thf(fun_a_bool_type,type,
fun_a_bool: $tType ).
thf(fun_fu1471507361l_bool_type,type,
fun_fu1471507361l_bool: $tType ).
thf(fun_fu1731003005a_bool_type,type,
fun_fu1731003005a_bool: $tType ).
thf(fun_a_1752562919a_bool_type,type,
fun_a_1752562919a_bool: $tType ).
thf(mgt_call_type,type,
mgt_call: fun_pname_a ).
thf(hAPP_fun_a_bool_bool_type,type,
hAPP_fun_a_bool_bool: fun_fun_a_bool_bool > fun_a_bool > bool ).
thf(hAPP_a1206381875a_bool_type,type,
hAPP_a1206381875a_bool: fun_a_1752562919a_bool > x_a > fun_fu1731003005a_bool ).
thf(hBOOL_type,type,
hBOOL: bool > $o ).
thf(hAPP_f2050579477a_bool_type,type,
hAPP_f2050579477a_bool: fun_fu1731003005a_bool > fun_a_bool > fun_a_bool ).
thf(image_pname_a_type,type,
image_pname_a: fun_pname_a > fun_pname_bool > fun_a_bool ).
thf(insert_a_type,type,
insert_a: fun_a_1752562919a_bool ).
thf(hAPP_f1631501043l_bool_type,type,
hAPP_f1631501043l_bool: fun_fu1471507361l_bool > fun_a_bool > fun_fun_a_bool_bool ).
thf(member_pname_type,type,
member_pname: fun_pn422929397l_bool ).
thf(hAPP_f1664156314l_bool_type,type,
hAPP_f1664156314l_bool: fun_fu1430349052l_bool > fun_pname_bool > bool ).
thf(hAPP_pname_a_type,type,
hAPP_pname_a: fun_pname_a > pname > x_a ).
thf(ord_le1311769555a_bool_type,type,
ord_le1311769555a_bool: fun_fu1471507361l_bool ).
thf(u_type,type,
u: fun_pname_bool ).
thf(g_type,type,
g: fun_a_bool ).
thf(member_a_type,type,
member_a: fun_a_1255737515l_bool ).
thf(hAPP_p338031245l_bool_type,type,
hAPP_p338031245l_bool: fun_pn422929397l_bool > pname > fun_fu1430349052l_bool ).
thf(pn_type,type,
pn: pname ).
thf(hAPP_a85458249l_bool_type,type,
hAPP_a85458249l_bool: fun_a_1255737515l_bool > x_a > fun_fun_a_bool_bool ).
thf(fact_434_imageI,axiom,
! [F: fun_pname_a,X_1: pname,A: fun_pname_bool] :
( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_1 ) @ A ) )
=> ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_a85458249l_bool @ member_a @ ( hAPP_pname_a @ F @ X_1 ) ) @ ( image_pname_a @ F @ A ) ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: fun_pname_a,X1: pname,X2: fun_pname_bool] :
( ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_a85458249l_bool @ member_a @ ( hAPP_pname_a @ X0 @ X1 ) ) @ ( image_pname_a @ X0 @ X2 ) ) )
| ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X1 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_434_imageI]) ).
thf(fact_453_insert__subset,axiom,
! [X_1: x_a,A: fun_a_bool,B: fun_a_bool] :
( ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ ( hAPP_f2050579477a_bool @ ( hAPP_a1206381875a_bool @ insert_a @ X_1 ) @ A ) ) @ B ) )
<=> ( ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_a85458249l_bool @ member_a @ X_1 ) @ B ) )
& ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ A ) @ B ) ) ) ) ).
thf(zip_derived_cl62,plain,
! [X0: x_a,X1: fun_a_bool,X2: fun_a_bool] :
( ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ ( hAPP_f2050579477a_bool @ ( hAPP_a1206381875a_bool @ insert_a @ X0 ) @ X1 ) ) @ X2 ) )
| ~ ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ X1 ) @ X2 ) )
| ~ ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_a85458249l_bool @ member_a @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_453_insert__subset]) ).
thf(conj_6,conjecture,
hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ ( hAPP_f2050579477a_bool @ ( hAPP_a1206381875a_bool @ insert_a @ ( hAPP_pname_a @ mgt_call @ pn ) ) @ g ) ) @ ( image_pname_a @ mgt_call @ u ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ ( hAPP_f2050579477a_bool @ ( hAPP_a1206381875a_bool @ insert_a @ ( hAPP_pname_a @ mgt_call @ pn ) ) @ g ) ) @ ( image_pname_a @ mgt_call @ u ) ) ),
inference('cnf.neg',[status(esa)],[conj_6]) ).
thf(zip_derived_cl131,plain,
~ ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ ( hAPP_f2050579477a_bool @ ( hAPP_a1206381875a_bool @ insert_a @ ( hAPP_pname_a @ mgt_call @ pn ) ) @ g ) ) @ ( image_pname_a @ mgt_call @ u ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1540,plain,
( ~ ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_a85458249l_bool @ member_a @ ( hAPP_pname_a @ mgt_call @ pn ) ) @ ( image_pname_a @ mgt_call @ u ) ) )
| ~ ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ g ) @ ( image_pname_a @ mgt_call @ u ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl131]) ).
thf(conj_1,axiom,
hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ g ) @ ( image_pname_a @ mgt_call @ u ) ) ).
thf(zip_derived_cl127,plain,
hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ g ) @ ( image_pname_a @ mgt_call @ u ) ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(zip_derived_cl1574,plain,
~ ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_a85458249l_bool @ member_a @ ( hAPP_pname_a @ mgt_call @ pn ) ) @ ( image_pname_a @ mgt_call @ u ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1540,zip_derived_cl127]) ).
thf(zip_derived_cl1576,plain,
~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ pn ) @ u ) ),
inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl1574]) ).
thf(conj_4,axiom,
hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ pn ) @ u ) ).
thf(zip_derived_cl129,plain,
hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ pn ) @ u ),
inference(cnf,[status(esa)],[conj_4]) ).
thf(zip_derived_cl1578,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1576,zip_derived_cl129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW473_3 : TPTP v9.2.0. Released v5.3.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VI3iSOTmnA true
% 0.13/0.34 % Computer : n001.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 12:08:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.27/1.19 % Solved by fo/fo4.sh.
% 4.27/1.19 % done 305 iterations in 0.405s
% 4.27/1.19 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.27/1.19 % SZS output start Refutation
% See solution above
% 4.27/1.19
% 4.27/1.19
% 4.27/1.19 % Terminating...
% 4.27/1.25 % Runner terminated.
% 4.31/1.26 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------