%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET935+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.K4c5w6S5wx true
% Computer : n012.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 04:53:12 PM UTC 2025
% Result : Theorem 1.01s 0.75s
% Output : Refutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 85 ( 21 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 290 ( 23 ~; 31 |; 1 &; 227 @)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 70 ( 0 ^; 70 !; 0 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(inclusion_comparable_type,type,
inclusion_comparable: $i > $i > $o ).
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(t82_zfmisc_1,conjecture,
! [A: $i,B: $i] :
( ( ( set_union2 @ ( powerset @ A ) @ ( powerset @ B ) )
= ( powerset @ ( set_union2 @ A @ B ) ) )
=> ( inclusion_comparable @ A @ B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( set_union2 @ ( powerset @ A ) @ ( powerset @ B ) )
= ( powerset @ ( set_union2 @ A @ B ) ) )
=> ( inclusion_comparable @ A @ B ) ),
inference('cnf.neg',[status(esa)],[t82_zfmisc_1]) ).
thf(zip_derived_cl28,plain,
~ ( inclusion_comparable @ sk__4 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ) ).
thf(zip_derived_cl23,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(d1_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( B
= ( powerset @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( subset @ C @ A ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( X2
!= ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
| ~ ( subset @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl118,plain,
! [X0: $i] : ( in @ X0 @ ( powerset @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl66]) ).
thf(zip_derived_cl27,plain,
( ( set_union2 @ ( powerset @ sk__4 ) @ ( powerset @ sk__5 ) )
= ( powerset @ ( set_union2 @ sk__4 @ sk__5 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d2_xboole_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_union2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
| ( in @ D @ B ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( in @ X0 @ X3 )
| ( X1
!= ( set_union2 @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[d2_xboole_0]) ).
thf(zip_derived_cl140,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( powerset @ ( set_union2 @ sk__4 @ sk__5 ) ) )
| ( in @ X1 @ ( powerset @ sk__5 ) )
| ( in @ X1 @ ( powerset @ sk__4 ) )
| ~ ( in @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl11]) ).
thf(zip_derived_cl459,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( powerset @ ( set_union2 @ sk__4 @ sk__5 ) ) )
| ( in @ X0 @ ( powerset @ sk__4 ) )
| ( in @ X0 @ ( powerset @ sk__5 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl140]) ).
thf(zip_derived_cl460,plain,
( ( in @ ( set_union2 @ sk__4 @ sk__5 ) @ ( powerset @ sk__5 ) )
| ( in @ ( set_union2 @ sk__4 @ sk__5 ) @ ( powerset @ sk__4 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl459]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( subset @ X0 @ X2 )
| ( X1
!= ( powerset @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
| ~ ( in @ X1 @ ( powerset @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl472,plain,
( ( in @ ( set_union2 @ sk__4 @ sk__5 ) @ ( powerset @ sk__4 ) )
| ( subset @ ( set_union2 @ sk__4 @ sk__5 ) @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl67]) ).
thf(zip_derived_cl67_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
| ~ ( in @ X1 @ ( powerset @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl477,plain,
( ( subset @ ( set_union2 @ sk__4 @ sk__5 ) @ sk__5 )
| ( subset @ ( set_union2 @ sk__4 @ sk__5 ) @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl67]) ).
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(t7_xboole_1,axiom,
! [A: $i,B: $i] : ( subset @ A @ ( set_union2 @ A @ B ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] : ( subset @ X0 @ ( set_union2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t7_xboole_1]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] : ( subset @ X0 @ ( set_union2 @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl26]) ).
thf(d10_xboole_0,axiom,
! [A: $i,B: $i] :
( ( A = B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i] :
( ~ ( subset @ ( set_union2 @ X1 @ X0 ) @ X0 )
| ( ( set_union2 @ X1 @ X0 )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl4]) ).
thf(zip_derived_cl483,plain,
( ( subset @ ( set_union2 @ sk__4 @ sk__5 ) @ sk__4 )
| ( ( set_union2 @ sk__4 @ sk__5 )
= sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl55]) ).
thf(zip_derived_cl26_002,plain,
! [X0: $i,X1: $i] : ( subset @ X0 @ ( set_union2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t7_xboole_1]) ).
thf(zip_derived_cl4_003,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i] :
( ~ ( subset @ ( set_union2 @ X1 @ X0 ) @ X1 )
| ( ( set_union2 @ X1 @ X0 )
= X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl4]) ).
thf(zip_derived_cl493,plain,
( ( ( set_union2 @ sk__4 @ sk__5 )
= sk__5 )
| ( ( set_union2 @ sk__4 @ sk__5 )
= sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl483,zip_derived_cl54]) ).
thf(zip_derived_cl26_004,plain,
! [X0: $i,X1: $i] : ( subset @ X0 @ ( set_union2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t7_xboole_1]) ).
thf(d9_xboole_0,axiom,
! [A: $i,B: $i] :
( ( inclusion_comparable @ A @ B )
<=> ( ( subset @ A @ B )
| ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( inclusion_comparable @ X0 @ X1 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[d9_xboole_0]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] : ( inclusion_comparable @ X1 @ ( set_union2 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl16]) ).
thf(zip_derived_cl500,plain,
( ( inclusion_comparable @ sk__4 @ sk__5 )
| ( ( set_union2 @ sk__4 @ sk__5 )
= sk__4 ) ),
inference('sup+',[status(thm)],[zip_derived_cl493,zip_derived_cl42]) ).
thf(zip_derived_cl28_005,plain,
~ ( inclusion_comparable @ sk__4 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl556,plain,
( ( set_union2 @ sk__4 @ sk__5 )
= sk__4 ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl28]) ).
thf(zip_derived_cl31_006,plain,
! [X0: $i,X1: $i] : ( subset @ X0 @ ( set_union2 @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl26]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( inclusion_comparable @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[d9_xboole_0]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i] : ( inclusion_comparable @ ( set_union2 @ X1 @ X0 ) @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl17]) ).
thf(zip_derived_cl607,plain,
inclusion_comparable @ sk__4 @ sk__5,
inference('sup+',[status(thm)],[zip_derived_cl556,zip_derived_cl46]) ).
thf(zip_derived_cl670,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl607]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : SET935+1 : TPTP v9.2.0. Released v3.2.0.
% 0.04/0.09 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.K4c5w6S5wx true
% 0.08/0.28 % Computer : n012.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Wed Oct 1 13:00:53 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % Running portfolio for 300 s
% 0.08/0.29 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.29 % Number of cores: 8
% 0.08/0.29 % Python version: Python 3.6.8
% 0.08/0.29 % Running in FO mode
% 0.14/0.50 % Total configuration time : 435
% 0.14/0.50 % Estimated wc time : 1092
% 0.14/0.50 % Estimated cpu time (7 cpus) : 156.0
% 0.73/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.86/0.58 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.86/0.58 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.86/0.58 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.86/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.86/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.86/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.01/0.75 % Solved by fo/fo5.sh.
% 1.01/0.75 % done 364 iterations in 0.135s
% 1.01/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.01/0.75 % SZS output start Refutation
% See solution above
% 1.01/0.75
% 1.01/0.75
% 1.01/0.75 % Terminating...
% 1.17/0.81 % Runner terminated.
% 1.17/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------