%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU657^2 : 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.jqwZURoDfS true
% Computer : n003.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 04:55:35 PM UTC 2025
% Result : Theorem 0.57s 0.78s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 58 ( 37 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 299 ( 4 ~; 0 |; 10 &; 276 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 42 ( 9 ^; 23 !; 10 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(iskpair_type,type,
iskpair: $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(kfst_type,type,
kfst: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(ksndpairEq_type,type,
ksndpairEq: $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(ksnd_type,type,
ksnd: $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(setunion_type,type,
setunion: $i > $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(kfstpairEq_type,type,
kfstpairEq: $o ).
thf(ksndpairEq,axiom,
( ksndpairEq
= ( ! [Xx: $i,Xy: $i] :
( ( ksnd @ ( kpair @ Xx @ Xy ) )
= Xy ) ) ) ).
thf('0',plain,
( ksndpairEq
= ( ! [X4: $i,X6: $i] :
( ( ksnd @ ( kpair @ X4 @ X6 ) )
= X6 ) ) ),
define([status(thm)]) ).
thf(kfstpairEq,axiom,
( kfstpairEq
= ( ! [Xx: $i,Xy: $i] :
( ( kfst @ ( kpair @ Xx @ Xy ) )
= Xx ) ) ) ).
thf('1',plain,
( kfstpairEq
= ( ! [X4: $i,X6: $i] :
( ( kfst @ ( kpair @ X4 @ X6 ) )
= X4 ) ) ),
define([status(thm)]) ).
thf(kpair,axiom,
( kpair
= ( ^ [Xx: $i,Xy: $i] : ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ).
thf('2',plain,
( kpair
= ( ^ [Xx: $i,Xy: $i] : ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[kpair]) ).
thf('3',plain,
( kpair
= ( ^ [V_1: $i,V_2: $i] : ( setadjoin @ ( setadjoin @ V_1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ V_1 @ ( setadjoin @ V_2 @ emptyset ) ) @ emptyset ) ) ) ),
define([status(thm)]) ).
thf(iskpair,axiom,
( iskpair
= ( ^ [A: $i] :
? [Xx: $i] :
( ? [Xy: $i] :
( ( A
= ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) )
& ( in @ Xy @ ( setunion @ A ) ) )
& ( in @ Xx @ ( setunion @ A ) ) ) ) ) ).
thf('4',plain,
( iskpair
= ( ^ [A: $i] :
? [Xx: $i] :
( ? [Xy: $i] :
( ( A
= ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) )
& ( in @ Xy @ ( setunion @ A ) ) )
& ( in @ Xx @ ( setunion @ A ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[iskpair]) ).
thf('5',plain,
( iskpair
= ( ^ [V_1: $i] :
? [X4: $i] :
( ? [X6: $i] :
( ( V_1
= ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) )
& ( in @ X6 @ ( setunion @ V_1 ) ) )
& ( in @ X4 @ ( setunion @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(kpairsurjEq,conjecture,
( kfstpairEq
=> ( ksndpairEq
=> ! [Xu: $i] :
( ( iskpair @ Xu )
=> ( ( kpair @ ( kfst @ Xu ) @ ( ksnd @ Xu ) )
= Xu ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( kfst @ ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) )
= X4 )
=> ( ! [X8: $i,X10: $i] :
( ( ksnd @ ( setadjoin @ ( setadjoin @ X8 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) )
= X10 )
=> ! [X12: $i] :
( ? [X14: $i] :
( ? [X16: $i] :
( ( X12
= ( setadjoin @ ( setadjoin @ X14 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X14 @ ( setadjoin @ X16 @ emptyset ) ) @ emptyset ) ) )
& ( in @ X16 @ ( setunion @ X12 ) ) )
& ( in @ X14 @ ( setunion @ X12 ) ) )
=> ( ( setadjoin @ ( setadjoin @ ( kfst @ X12 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ X12 ) @ ( setadjoin @ ( ksnd @ X12 ) @ emptyset ) ) @ emptyset ) )
= X12 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( kfst @ ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) )
= X4 )
=> ( ! [X8: $i,X10: $i] :
( ( ksnd @ ( setadjoin @ ( setadjoin @ X8 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) )
= X10 )
=> ! [X12: $i] :
( ? [X14: $i] :
( ? [X16: $i] :
( ( X12
= ( setadjoin @ ( setadjoin @ X14 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X14 @ ( setadjoin @ X16 @ emptyset ) ) @ emptyset ) ) )
& ( in @ X16 @ ( setunion @ X12 ) ) )
& ( in @ X14 @ ( setunion @ X12 ) ) )
=> ( ( setadjoin @ ( setadjoin @ ( kfst @ X12 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ X12 ) @ ( setadjoin @ ( ksnd @ X12 ) @ emptyset ) ) @ emptyset ) )
= X12 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
( ( setadjoin @ ( setadjoin @ ( kfst @ sk__6 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ sk__6 ) @ ( setadjoin @ ( ksnd @ sk__6 ) @ emptyset ) ) @ emptyset ) )
!= sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
( sk__6
= ( setadjoin @ ( setadjoin @ sk__7 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__7 @ ( setadjoin @ sk__8 @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( kfst @ ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) ) )
= X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
( ( kfst @ sk__6 )
= sk__7 ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl7_001,plain,
( ( kfst @ sk__6 )
= sk__7 ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl10,plain,
( ( setadjoin @ ( setadjoin @ sk__7 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__7 @ ( setadjoin @ ( ksnd @ sk__6 ) @ emptyset ) ) @ emptyset ) )
!= sk__6 ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl3_002,plain,
( sk__6
= ( setadjoin @ ( setadjoin @ sk__7 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__7 @ ( setadjoin @ sk__8 @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X2: $i,X3: $i] :
( ( ksnd @ ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) )
= X2 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
( ( ksnd @ sk__6 )
= sk__8 ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).
thf(zip_derived_cl3_003,plain,
( sk__6
= ( setadjoin @ ( setadjoin @ sk__7 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__7 @ ( setadjoin @ sk__8 @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl15,plain,
sk__6 != sk__6,
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl12,zip_derived_cl3]) ).
thf(zip_derived_cl16,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU657^2 : TPTP v9.2.0. Released v3.7.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jqwZURoDfS true
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:09:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.56/0.67 % Total configuration time : 828
% 0.56/0.67 % Estimated wc time : 1656
% 0.56/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.78 % Solved by lams/40_c.s.sh.
% 0.57/0.78 % done 10 iterations in 0.011s
% 0.57/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.78 % SZS output start Refutation
% See solution above
% 0.57/0.78
% 0.57/0.78
% 0.57/0.78 % Terminating...
% 1.85/0.86 % Runner terminated.
% 1.85/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------