%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET599+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Lgzj2qBExW true
% Computer : n020.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 04:52:21 PM UTC 2025
% Result : Theorem 0.52s 0.78s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 6 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 65 ( 6 ~; 1 |; 0 &; 58 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 0 ^; 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(union_type,type,
union: $i > $i > $i ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(symmetric_difference_type,type,
symmetric_difference: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(symmetric_difference_defn,axiom,
! [B: $i,C: $i] :
( ( symmetric_difference @ B @ C )
= ( union @ ( difference @ B @ C ) @ ( difference @ C @ B ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( symmetric_difference @ X0 @ X1 )
= ( union @ ( difference @ X0 @ X1 ) @ ( difference @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[symmetric_difference_defn]) ).
thf(subset_of_union,axiom,
! [B: $i,C: $i] : ( subset @ B @ ( union @ B @ C ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] : ( subset @ X0 @ ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[subset_of_union]) ).
thf(prove_th58,conjecture,
! [B: $i,C: $i] : ( subset @ ( difference @ B @ C ) @ ( symmetric_difference @ B @ C ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i] : ( subset @ ( difference @ B @ C ) @ ( symmetric_difference @ B @ C ) ),
inference('cnf.neg',[status(esa)],[prove_th58]) ).
thf(zip_derived_cl15,plain,
~ ( subset @ ( difference @ sk__2 @ sk__3 ) @ ( symmetric_difference @ sk__2 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( difference @ sk__2 @ sk__3 ) )
| ( ( union @ X1 @ X0 )
!= ( symmetric_difference @ sk__2 @ sk__3 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl15]) ).
thf(zip_derived_cl79,plain,
! [X0: $i] :
( ( union @ ( difference @ sk__2 @ sk__3 ) @ X0 )
!= ( symmetric_difference @ sk__2 @ sk__3 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl80,plain,
( ( symmetric_difference @ sk__2 @ sk__3 )
!= ( symmetric_difference @ sk__2 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl79]) ).
thf(zip_derived_cl81,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : SET599+3 : TPTP v9.2.0. Released v2.2.0.
% 0.06/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Lgzj2qBExW true
% 0.11/0.35 % Computer : n020.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Wed Oct 1 13:13:08 EDT 2025
% 0.11/0.35 % CPUTime :
% 0.11/0.35 % Running portfolio for 300 s
% 0.11/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35 % Number of cores: 8
% 0.11/0.35 % Python version: Python 3.6.8
% 0.11/0.35 % Running in FO mode
% 0.47/0.65 % Total configuration time : 435
% 0.47/0.65 % Estimated wc time : 1092
% 0.47/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.78 % Solved by fo/fo3_bce.sh.
% 0.52/0.78 % BCE start: 16
% 0.52/0.78 % BCE eliminated: 0
% 0.52/0.78 % PE start: 16
% 0.52/0.78 logic: eq
% 0.52/0.78 % PE eliminated: -1
% 0.52/0.78 % done 5 iterations in 0.008s
% 0.52/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/0.78 % SZS output start Refutation
% See solution above
% 0.52/0.78
% 0.52/0.78
% 0.52/0.78 % Terminating...
% 0.54/0.85 % Runner terminated.
% 0.54/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------