%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET873+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.Ao4brgIM9e true
% Computer : n031.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 04:53:03 PM UTC 2025
% Result : Theorem 0.55s 0.73s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 19 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 98 ( 11 ~; 9 |; 0 &; 73 @)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 30 ( 0 ^; 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(t13_zfmisc_1,conjecture,
! [A: $i,B: $i] :
( ( ( set_union2 @ ( singleton @ A ) @ ( singleton @ B ) )
= ( singleton @ A ) )
=> ( A = B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( set_union2 @ ( singleton @ A ) @ ( singleton @ B ) )
= ( singleton @ A ) )
=> ( A = B ) ),
inference('cnf.neg',[status(esa)],[t13_zfmisc_1]) ).
thf(zip_derived_cl13,plain,
( ( set_union2 @ ( singleton @ sk__3 ) @ ( singleton @ sk__4 ) )
= ( singleton @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(commutativity_k2_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_union2 @ A @ B )
= ( set_union2 @ B @ A ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( set_union2 @ X1 @ X0 )
= ( set_union2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(l21_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( subset @ ( set_union2 @ ( singleton @ A ) @ B ) @ B )
=> ( in @ A @ B ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ~ ( subset @ ( set_union2 @ ( singleton @ X0 ) @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[l21_zfmisc_1]) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( set_union2 @ ( singleton @ X2 ) @ X1 ) )
| ( X0 != X1 )
| ( in @ X2 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl9]) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i] :
( ( in @ X1 @ X0 )
| ( X0
!= ( set_union2 @ ( singleton @ X1 ) @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( X1
!= ( set_union2 @ X1 @ ( singleton @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl71]) ).
thf(zip_derived_cl83,plain,
( ( in @ sk__4 @ ( singleton @ sk__3 ) )
| ( ( singleton @ sk__3 )
!= ( singleton @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl72]) ).
thf(zip_derived_cl85,plain,
in @ sk__4 @ ( singleton @ sk__3 ),
inference(simplify,[status(thm)],[zip_derived_cl83]) ).
thf(d1_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( singleton @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( C = A ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X1
!= ( singleton @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl87,plain,
sk__4 = sk__3,
inference('s_sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl60]) ).
thf(zip_derived_cl14,plain,
sk__3 != sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl88,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl87,zip_derived_cl14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET873+1 : TPTP v9.2.0. Released v3.2.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Ao4brgIM9e true
% 0.12/0.32 % Computer : n031.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Oct 1 13:21:53 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % Running portfolio for 300 s
% 0.12/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Number of cores: 8
% 0.12/0.32 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.50/0.62 % Total configuration time : 435
% 0.50/0.62 % Estimated wc time : 1092
% 0.50/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % Solved by fo/fo6_bce.sh.
% 0.55/0.73 % BCE start: 15
% 0.55/0.73 % BCE eliminated: 0
% 0.55/0.73 % PE start: 15
% 0.55/0.73 logic: eq
% 0.55/0.73 % PE eliminated: 1
% 0.55/0.73 % done 34 iterations in 0.015s
% 0.55/0.73 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.73 % SZS output start Refutation
% See solution above
% 0.55/0.73
% 0.55/0.73
% 0.55/0.73 % Terminating...
% 0.59/0.83 % Runner terminated.
% 0.59/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------