%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET603+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.9RT8QLA44V true
% Computer : n029.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 04:52:23 PM UTC 2025
% Result : Theorem 6.91s 1.63s
% Output : Refutation 6.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 14 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 146 ( 12 ~; 16 |; 1 &; 114 @)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 0 ^; 33 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(empty_set_type,type,
empty_set: $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(prove_th74,conjecture,
! [B: $i] :
( ( difference @ B @ empty_set )
= B ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( difference @ B @ empty_set )
= B ),
inference('cnf.neg',[status(esa)],[prove_th74]) ).
thf(zip_derived_cl19,plain,
( ( difference @ sk__4 @ empty_set )
!= sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(member_equal,axiom,
! [B: $i,C: $i] :
( ! [D: $i] :
( ( member @ D @ B )
<=> ( member @ D @ C ) )
=> ( B = C ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ( member @ ( sk_ @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[member_equal]) ).
thf(difference_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( difference @ B @ C ) )
<=> ( ( member @ D @ B )
& ~ ( member @ D @ C ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl129,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ ( sk_ @ ( difference @ X1 @ X0 ) @ X2 ) @ X2 )
| ( X2
= ( difference @ X1 @ X0 ) )
| ( member @ ( sk_ @ ( difference @ X1 @ X0 ) @ X2 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl211,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( difference @ X0 @ X1 ) )
| ( member @ ( sk_ @ ( difference @ X0 @ X1 ) @ X0 ) @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl129]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( difference @ X1 @ X2 ) )
| ( member @ X0 @ X2 )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ~ ( member @ ( sk_ @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[member_equal]) ).
thf(zip_derived_cl136,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( sk_ @ ( difference @ X1 @ X0 ) @ X2 ) @ X1 )
| ( member @ ( sk_ @ ( difference @ X1 @ X0 ) @ X2 ) @ X0 )
| ( X2
= ( difference @ X1 @ X0 ) )
| ~ ( member @ ( sk_ @ ( difference @ X1 @ X0 ) @ X2 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl475,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( difference @ X0 @ X1 ) )
| ( member @ ( sk_ @ ( difference @ X0 @ X1 ) @ X0 ) @ X1 )
| ( X0
= ( difference @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl211,zip_derived_cl136]) ).
thf(zip_derived_cl482,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ ( difference @ X0 @ X1 ) @ X0 ) @ X1 )
| ( X0
= ( difference @ X0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl475]) ).
thf(empty_set_defn,axiom,
! [B: $i] :
~ ( member @ B @ empty_set ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl5926,plain,
! [X0: $i] :
( X0
= ( difference @ X0 @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl5]) ).
thf(zip_derived_cl5973,plain,
sk__4 != sk__4,
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl5926]) ).
thf(zip_derived_cl5974,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl5973]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET603+3 : TPTP v9.2.0. Released v2.2.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9RT8QLA44V true
% 0.13/0.34 % Computer : n029.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 12:53:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % 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
% 0.57/0.68 % Total configuration time : 435
% 0.57/0.68 % Estimated wc time : 1092
% 0.57/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.91/1.63 % Solved by fo/fo6_bce.sh.
% 6.91/1.63 % BCE start: 20
% 6.91/1.63 % BCE eliminated: 0
% 6.91/1.63 % PE start: 20
% 6.91/1.63 logic: eq
% 6.91/1.63 % PE eliminated: 1
% 6.91/1.63 % done 707 iterations in 0.867s
% 6.91/1.63 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.91/1.63 % SZS output start Refutation
% See solution above
% 6.91/1.63
% 6.91/1.63
% 6.91/1.63 % Terminating...
% 7.55/1.71 % Runner terminated.
% 7.55/1.72 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------