%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET874+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.IkkBQccc1s 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 1.13s 0.68s
% Output : Refutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 12 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 77 ( 9 ~; 6 |; 0 &; 59 @)
% ( 2 <=>; 1 =>; 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 : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(l23_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ( ( set_union2 @ ( singleton @ A ) @ B )
= B ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( ( set_union2 @ ( singleton @ X1 ) @ X0 )
= X0 )
| ~ ( in @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[l23_zfmisc_1]) ).
thf(t14_zfmisc_1,conjecture,
! [A: $i,B: $i] :
( ( set_union2 @ ( singleton @ A ) @ ( unordered_pair @ A @ B ) )
= ( unordered_pair @ A @ B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( set_union2 @ ( singleton @ A ) @ ( unordered_pair @ A @ B ) )
= ( unordered_pair @ A @ B ) ),
inference('cnf.neg',[status(esa)],[t14_zfmisc_1]) ).
thf(zip_derived_cl15,plain,
( ( set_union2 @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) )
!= ( unordered_pair @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41,plain,
( ( ( unordered_pair @ sk__3 @ sk__4 )
!= ( unordered_pair @ sk__3 @ sk__4 ) )
| ~ ( in @ sk__3 @ ( unordered_pair @ sk__3 @ sk__4 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl15]) ).
thf(zip_derived_cl42,plain,
~ ( in @ sk__3 @ ( unordered_pair @ sk__3 @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl41]) ).
thf(d2_tarski,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( unordered_pair @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( D = A )
| ( D = B ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X0 )
| ( in @ X1 @ X2 )
| ( X2
!= ( unordered_pair @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( unordered_pair @ X2 @ X1 ) )
| ( in @ X2 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] : ( in @ X1 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl57,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET874+1 : TPTP v9.2.0. Released v3.2.0.
% 0.09/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IkkBQccc1s true
% 0.09/0.30 % Computer : n031.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 12:54:38 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.31 % Python version: Python 3.6.8
% 0.09/0.31 % Running in FO mode
% 0.16/0.52 % Total configuration time : 435
% 0.16/0.52 % Estimated wc time : 1092
% 0.16/0.52 % Estimated cpu time (7 cpus) : 156.0
% 1.13/0.63 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.13/0.64 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.13/0.64 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.13/0.64 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.13/0.64 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.13/0.64 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.13/0.64 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.13/0.68 % Solved by fo/fo4.sh.
% 1.13/0.68 % done 36 iterations in 0.021s
% 1.13/0.68 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.13/0.68 % SZS output start Refutation
% See solution above
% 1.13/0.68
% 1.13/0.68
% 1.13/0.69 % Terminating...
% 1.46/0.74 % Runner terminated.
% 1.46/0.75 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------