%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU672^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.42KeAphATg true
% Computer : n016.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 04:55:40 PM UTC 2025
% Result : Theorem 0.49s 0.89s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 95 ( 25 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 276 ( 11 ~; 5 |; 12 &; 237 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 75 ( 48 ^; 20 !; 7 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__5_type,type,
sk__5: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(func_type,type,
func: $i > $i > $i > $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(singleton_type,type,
singleton: $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i > $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(ex1_type,type,
ex1: $i > ( $i > $o ) > $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(breln_type,type,
breln: $i > $i > $i > $o ).
thf(func,axiom,
( func
= ( ^ [A: $i,B: $i,R: $i] :
( ( breln @ A @ B @ R )
& ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ex1 @ B
@ ^ [Xy: $i] : ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) ) ) ) ).
thf(breln,axiom,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ) ).
thf('0',plain,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln]) ).
thf('1',plain,
( breln
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( subset @ V_3 @ ( cartprod @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(ex1,axiom,
( ex1
= ( ^ [A: $i,Xphi: $i > $o] :
( singleton
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
thf(singleton,axiom,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ) ).
thf('2',plain,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[singleton]) ).
thf('3',plain,
( singleton
= ( ^ [V_1: $i] :
? [X4: $i] :
( ( V_1
= ( setadjoin @ X4 @ emptyset ) )
& ( in @ X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf('4',plain,
( ex1
= ( ^ [A: $i,Xphi: $i > $o] :
( singleton
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ex1,'3']) ).
thf('5',plain,
( ex1
= ( ^ [V_1: $i,V_2: $i > $o] :
( singleton
@ ( dsetconstr @ V_1
@ ^ [V_3: $i] : ( V_2 @ V_3 ) ) ) ) ),
define([status(thm)]) ).
thf('6',plain,
( func
= ( ^ [A: $i,B: $i,R: $i] :
( ( breln @ A @ B @ R )
& ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ex1 @ B
@ ^ [Xy: $i] : ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[func,'1','5','3']) ).
thf('7',plain,
( func
= ( ^ [V_1: $i,V_2: $i,V_3: $i] :
( ( breln @ V_1 @ V_2 @ V_3 )
& ! [X4: $i] :
( ( in @ X4 @ V_1 )
=> ( ex1 @ V_2
@ ^ [V_4: $i] : ( in @ ( kpair @ X4 @ V_4 ) @ V_3 ) ) ) ) ) ),
define([status(thm)]) ).
thf(funcImageSingleton,conjecture,
! [A: $i,B: $i,Xf: $i] :
( ( func @ A @ B @ Xf )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( singleton
@ ( dsetconstr @ B
@ ^ [Xy: $i] : ( in @ ( kpair @ Xx @ Xy ) @ Xf ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i,X8: $i] :
( ( ( subset @ X8 @ ( cartprod @ X4 @ X6 ) )
& ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ? [X12: $i] :
( ( ( dsetconstr @ X6
@ ^ [V_1: $i] : ( in @ ( kpair @ X10 @ V_1 ) @ X8 ) )
= ( setadjoin @ X12 @ emptyset ) )
& ( in @ X12
@ ( dsetconstr @ X6
@ ^ [V_2: $i] : ( in @ ( kpair @ X10 @ V_2 ) @ X8 ) ) ) ) ) )
=> ! [X14: $i] :
( ( in @ X14 @ X4 )
=> ? [X16: $i] :
( ( ( dsetconstr @ X6
@ ^ [V_3: $i] : ( in @ ( kpair @ X14 @ V_3 ) @ X8 ) )
= ( setadjoin @ X16 @ emptyset ) )
& ( in @ X16
@ ( dsetconstr @ X6
@ ^ [V_4: $i] : ( in @ ( kpair @ X14 @ V_4 ) @ X8 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i,X8: $i] :
( ( ( subset @ X8 @ ( cartprod @ X4 @ X6 ) )
& ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ? [X12: $i] :
( ( ( dsetconstr @ X6
@ ^ [V_1: $i] : ( in @ ( kpair @ X10 @ V_1 ) @ X8 ) )
= ( setadjoin @ X12 @ emptyset ) )
& ( in @ X12
@ ( dsetconstr @ X6
@ ^ [V_2: $i] : ( in @ ( kpair @ X10 @ V_2 ) @ X8 ) ) ) ) ) )
=> ! [X14: $i] :
( ( in @ X14 @ X4 )
=> ? [X16: $i] :
( ( ( dsetconstr @ X6
@ ^ [V_3: $i] : ( in @ ( kpair @ X14 @ V_3 ) @ X8 ) )
= ( setadjoin @ X16 @ emptyset ) )
& ( in @ X16
@ ( dsetconstr @ X6
@ ^ [V_4: $i] : ( in @ ( kpair @ X14 @ V_4 ) @ X8 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( ( dsetconstr @ sk__3
@ ^ [Y0: $i] : ( in @ ( kpair @ X0 @ Y0 ) @ sk__4 ) )
= ( setadjoin @ ( sk__6 @ X0 ) @ emptyset ) )
| ~ ( in @ X0 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( in @ ( sk__6 @ X0 )
@ ( dsetconstr @ sk__3
@ ^ [Y0: $i] : ( in @ ( kpair @ X0 @ Y0 ) @ sk__4 ) ) )
| ~ ( in @ X0 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X1: $i] :
( ( ( dsetconstr @ sk__3
@ ^ [Y0: $i] : ( in @ ( kpair @ sk__5 @ Y0 ) @ sk__4 ) )
!= ( setadjoin @ X1 @ emptyset ) )
| ~ ( in @ X1
@ ( dsetconstr @ sk__3
@ ^ [Y0: $i] : ( in @ ( kpair @ sk__5 @ Y0 ) @ sk__4 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
( ~ ( in @ sk__5 @ sk__2 )
| ( ( dsetconstr @ sk__3
@ ^ [Y0: $i] : ( in @ ( kpair @ sk__5 @ Y0 ) @ sk__4 ) )
!= ( setadjoin @ ( sk__6 @ sk__5 ) @ emptyset ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl4,plain,
in @ sk__5 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl14,plain,
( ( dsetconstr @ sk__3
@ ^ [Y0: $i] : ( in @ ( kpair @ sk__5 @ Y0 ) @ sk__4 ) )
!= ( setadjoin @ ( sk__6 @ sk__5 ) @ emptyset ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl4]) ).
thf(zip_derived_cl15,plain,
( ( ( setadjoin @ ( sk__6 @ sk__5 ) @ emptyset )
!= ( setadjoin @ ( sk__6 @ sk__5 ) @ emptyset ) )
| ~ ( in @ sk__5 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl14]) ).
thf(zip_derived_cl4_001,plain,
in @ sk__5 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl16,plain,
( ( setadjoin @ ( sk__6 @ sk__5 ) @ emptyset )
!= ( setadjoin @ ( sk__6 @ sk__5 ) @ emptyset ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl4]) ).
thf(zip_derived_cl17,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU672^2 : TPTP v9.2.0. Released v3.7.0.
% 0.09/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.42KeAphATg true
% 0.09/0.30 % Computer : n016.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 16:15:38 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.31 % Number of cores: 8
% 0.14/0.32 % Python version: Python 3.6.8
% 0.14/0.33 % Running in HO mode
% 0.48/0.65 % Total configuration time : 828
% 0.48/0.65 % Estimated wc time : 1656
% 0.48/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.48/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.48/0.82 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.48/0.86 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.49/0.88 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.49/0.89 % Solved by lams/40_c.s.sh.
% 0.49/0.89 % done 7 iterations in 0.019s
% 0.49/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.89 % SZS output start Refutation
% See solution above
% 0.49/0.89
% 0.49/0.89
% 0.49/0.89 % Terminating...
% 0.51/0.97 % Runner terminated.
% 0.51/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------