%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM409+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JIcDakNNLF true
% Computer : n027.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 04:46:53 PM UTC 2025
% Result : Theorem 0.50s 0.82s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 97 ( 16 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 213 ( 47 ~; 35 |; 16 &; 107 @)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 0 ^; 29 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(epsilon_transitive_type,type,
epsilon_transitive: $i > $o ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(sk__19_type,type,
sk__19: $i ).
thf(function_type,type,
function: $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(relation_empty_yielding_type,type,
relation_empty_yielding: $i > $o ).
thf(one_to_one_type,type,
one_to_one: $i > $o ).
thf(transfinite_sequence_of_type,type,
transfinite_sequence_of: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(epsilon_connected_type,type,
epsilon_connected: $i > $o ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(transfinite_sequence_type,type,
transfinite_sequence: $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(fc7_relat_1,axiom,
! [A: $i] :
( ( empty @ A )
=> ( ( empty @ ( relation_dom @ A ) )
& ( relation @ ( relation_dom @ A ) ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ( empty @ ( relation_dom @ X0 ) )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[fc7_relat_1]) ).
thf(cc3_ordinal1,axiom,
! [A: $i] :
( ( empty @ A )
=> ( ( epsilon_transitive @ A )
& ( epsilon_connected @ A )
& ( ordinal @ A ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc3_ordinal1]) ).
thf(d7_ordinal1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( transfinite_sequence @ A )
<=> ( ordinal @ ( relation_dom @ A ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ~ ( ordinal @ ( relation_dom @ X0 ) )
| ( transfinite_sequence @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d7_ordinal1]) ).
thf(zip_derived_cl532,plain,
! [X0: $i] :
( ~ ( empty @ ( relation_dom @ X0 ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( transfinite_sequence @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl18]) ).
thf(fc8_relat_1,axiom,
! [A: $i] :
( ( empty @ A )
=> ( ( empty @ ( relation_rng @ A ) )
& ( relation @ ( relation_rng @ A ) ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ( empty @ ( relation_rng @ X0 ) )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[fc8_relat_1]) ).
thf(t6_boole,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl99,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl680,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ( ( relation_rng @ X0 )
= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl99]) ).
thf(t2_xboole_1,axiom,
! [A: $i] : ( subset @ empty_set @ A ) ).
thf(zip_derived_cl91,plain,
! [X0: $i] : ( subset @ empty_set @ X0 ),
inference(cnf,[status(esa)],[t2_xboole_1]) ).
thf(d8_ordinal1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B )
& ( transfinite_sequence @ B ) )
=> ( ( transfinite_sequence_of @ B @ A )
<=> ( subset @ ( relation_rng @ B ) @ A ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ~ ( subset @ ( relation_rng @ X0 ) @ X1 )
| ( transfinite_sequence_of @ X0 @ X1 )
| ~ ( transfinite_sequence @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_ordinal1]) ).
thf(t45_ordinal1,conjecture,
! [A: $i] : ( transfinite_sequence_of @ empty_set @ A ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] : ( transfinite_sequence_of @ empty_set @ A ),
inference('cnf.neg',[status(esa)],[t45_ordinal1]) ).
thf(zip_derived_cl94,plain,
~ ( transfinite_sequence_of @ empty_set @ sk__19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl448,plain,
( ~ ( relation @ empty_set )
| ~ ( function @ empty_set )
| ~ ( transfinite_sequence @ empty_set )
| ~ ( subset @ ( relation_rng @ empty_set ) @ sk__19 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl94]) ).
thf(zip_derived_cl463,plain,
! [X0: $i] :
( ( empty_set
!= ( relation_rng @ empty_set ) )
| ( X0 != sk__19 )
| ~ ( transfinite_sequence @ empty_set )
| ~ ( function @ empty_set )
| ~ ( relation @ empty_set ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl91,zip_derived_cl448]) ).
thf(fc2_ordinal1,axiom,
( ( ordinal @ empty_set )
& ( epsilon_connected @ empty_set )
& ( epsilon_transitive @ empty_set )
& ( empty @ empty_set )
& ( one_to_one @ empty_set )
& ( function @ empty_set )
& ( relation_empty_yielding @ empty_set )
& ( relation @ empty_set ) ) ).
thf(zip_derived_cl37,plain,
function @ empty_set,
inference(cnf,[status(esa)],[fc2_ordinal1]) ).
thf(fc12_relat_1,axiom,
( ( relation_empty_yielding @ empty_set )
& ( relation @ empty_set )
& ( empty @ empty_set ) ) ).
thf(zip_derived_cl28,plain,
relation @ empty_set,
inference(cnf,[status(esa)],[fc12_relat_1]) ).
thf(zip_derived_cl693,plain,
! [X0: $i] :
( ( empty_set
!= ( relation_rng @ empty_set ) )
| ( X0 != sk__19 )
| ~ ( transfinite_sequence @ empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl463,zip_derived_cl37,zip_derived_cl28]) ).
thf(zip_derived_cl694,plain,
! [X0: $i] :
( ~ ( empty @ empty_set )
| ( empty_set != empty_set )
| ( X0 != sk__19 )
| ~ ( transfinite_sequence @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl680,zip_derived_cl693]) ).
thf(zip_derived_cl29,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc12_relat_1]) ).
thf(zip_derived_cl695,plain,
! [X0: $i] :
( ( empty_set != empty_set )
| ( X0 != sk__19 )
| ~ ( transfinite_sequence @ empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl694,zip_derived_cl29]) ).
thf(zip_derived_cl696,plain,
! [X0: $i] :
( ~ ( transfinite_sequence @ empty_set )
| ( X0 != sk__19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl695]) ).
thf(zip_derived_cl905,plain,
! [X0: $i] :
( ~ ( function @ empty_set )
| ~ ( relation @ empty_set )
| ~ ( empty @ ( relation_dom @ empty_set ) )
| ( X0 != sk__19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl696]) ).
thf(zip_derived_cl37_001,plain,
function @ empty_set,
inference(cnf,[status(esa)],[fc2_ordinal1]) ).
thf(zip_derived_cl28_002,plain,
relation @ empty_set,
inference(cnf,[status(esa)],[fc12_relat_1]) ).
thf(zip_derived_cl907,plain,
! [X0: $i] :
( ~ ( empty @ ( relation_dom @ empty_set ) )
| ( X0 != sk__19 ) ),
inference(demod,[status(thm)],[zip_derived_cl905,zip_derived_cl37,zip_derived_cl28]) ).
thf(zip_derived_cl908,plain,
! [X0: $i] :
( ~ ( empty @ empty_set )
| ( X0 != sk__19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl907]) ).
thf(zip_derived_cl29_003,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc12_relat_1]) ).
thf(zip_derived_cl912,plain,
! [X0: $i] : ( X0 != sk__19 ),
inference(demod,[status(thm)],[zip_derived_cl908,zip_derived_cl29]) ).
thf(zip_derived_cl916,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl912]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : NUM409+1 : TPTP v9.2.0. Released v3.2.0.
% 0.03/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JIcDakNNLF true
% 0.10/0.31 % Computer : n027.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 16:23:08 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.49/0.62 % Total configuration time : 435
% 0.49/0.62 % Estimated wc time : 1092
% 0.49/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.82 % Solved by fo/fo6_bce.sh.
% 0.50/0.82 % BCE start: 102
% 0.50/0.82 % BCE eliminated: 10
% 0.50/0.82 % PE start: 92
% 0.50/0.82 logic: eq
% 0.50/0.82 % PE eliminated: -11
% 0.50/0.82 % done 113 iterations in 0.072s
% 0.50/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.50/0.82 % SZS output start Refutation
% See solution above
% 0.50/0.82
% 0.50/0.82
% 0.50/0.82 % Terminating...
% 1.49/0.93 % Runner terminated.
% 1.49/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------