%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU632^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EyLVRkBOxT true
% Computer : n007.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 04:55:28 PM UTC 2025
% Result : Theorem 0.56s 0.79s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 93 ( 28 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 615 ( 22 ~; 15 |; 22 &; 543 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 94 ( 9 ^; 63 !; 22 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
thf(iskpair_type,type,
iskpair: $i > $o ).
thf(kpairp_type,type,
kpairp: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(cartprodmempair1_type,type,
cartprodmempair1: $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i > $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__10_type,type,
sk__10: $i > $i > $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(setunion_type,type,
setunion: $i > $i ).
thf(sk__14_type,type,
sk__14: $i > $i > $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(sk__15_type,type,
sk__15: $i > $i > $i ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(cartprodmempair1,axiom,
( cartprodmempair1
= ( ! [A: $i,B: $i,Xu: $i] :
( ( in @ Xu @ ( cartprod @ A @ B ) )
=> ? [Xx: $i] :
( ? [Xy: $i] :
( ( Xu
= ( kpair @ Xx @ Xy ) )
& ( in @ Xy @ B ) )
& ( in @ Xx @ A ) ) ) ) ) ).
thf('0',plain,
( cartprodmempair1
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( cartprod @ X4 @ X6 ) )
=> ? [X10: $i] :
( ? [X12: $i] :
( ( X8
= ( kpair @ X10 @ X12 ) )
& ( in @ X12 @ X6 ) )
& ( in @ X10 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(kpairp,axiom,
( kpairp
= ( ! [Xx: $i,Xy: $i] : ( iskpair @ ( kpair @ Xx @ Xy ) ) ) ) ).
thf('1',plain,
( kpairp
= ( ! [X4: $i,X6: $i] : ( iskpair @ ( kpair @ X4 @ X6 ) ) ) ),
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(cartprodmempair,conjecture,
( kpairp
=> ( cartprodmempair1
=> ! [A: $i,B: $i,Xu: $i] :
( ( in @ Xu @ ( cartprod @ A @ B ) )
=> ( iskpair @ Xu ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
? [X8: $i] :
( ? [X10: $i] :
( ( ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X8 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) )
& ( in @ X10 @ ( setunion @ ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) ) )
& ( in @ X8 @ ( setunion @ ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) ) )
=> ( ! [X12: $i,X14: $i,X16: $i] :
( ( in @ X16 @ ( cartprod @ X12 @ X14 ) )
=> ? [X18: $i] :
( ? [X20: $i] :
( ( X16
= ( setadjoin @ ( setadjoin @ X18 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X18 @ ( setadjoin @ X20 @ emptyset ) ) @ emptyset ) ) )
& ( in @ X20 @ X14 ) )
& ( in @ X18 @ X12 ) ) )
=> ! [X22: $i,X24: $i,X26: $i] :
( ( in @ X26 @ ( cartprod @ X22 @ X24 ) )
=> ? [X28: $i] :
( ? [X30: $i] :
( ( X26
= ( setadjoin @ ( setadjoin @ X28 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X28 @ ( setadjoin @ X30 @ emptyset ) ) @ emptyset ) ) )
& ( in @ X30 @ ( setunion @ X26 ) ) )
& ( in @ X28 @ ( setunion @ X26 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
? [X8: $i] :
( ? [X10: $i] :
( ( ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X8 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) )
& ( in @ X10 @ ( setunion @ ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) ) )
& ( in @ X8 @ ( setunion @ ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) ) )
=> ( ! [X12: $i,X14: $i,X16: $i] :
( ( in @ X16 @ ( cartprod @ X12 @ X14 ) )
=> ? [X18: $i] :
( ? [X20: $i] :
( ( X16
= ( setadjoin @ ( setadjoin @ X18 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X18 @ ( setadjoin @ X20 @ emptyset ) ) @ emptyset ) ) )
& ( in @ X20 @ X14 ) )
& ( in @ X18 @ X12 ) ) )
=> ! [X22: $i,X24: $i,X26: $i] :
( ( in @ X26 @ ( cartprod @ X22 @ X24 ) )
=> ? [X28: $i] :
( ? [X30: $i] :
( ( X26
= ( setadjoin @ ( setadjoin @ X28 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X28 @ ( setadjoin @ X30 @ emptyset ) ) @ emptyset ) ) )
& ( in @ X30 @ ( setunion @ X26 ) ) )
& ( in @ X28 @ ( setunion @ X26 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
in @ sk__13 @ ( cartprod @ sk__11 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X4: $i,X5: $i,X6: $i] :
( ( X4
= ( setadjoin @ ( setadjoin @ ( sk__9 @ X4 @ X5 @ X6 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__9 @ X4 @ X5 @ X6 ) @ ( setadjoin @ ( sk__10 @ X4 @ X5 @ X6 ) @ emptyset ) ) @ emptyset ) ) )
| ~ ( in @ X4 @ ( cartprod @ X6 @ X5 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ ( setadjoin @ ( sk__15 @ X0 @ X1 ) @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X2: $i,X3: $i] :
( ~ ( in @ X2 @ ( setunion @ sk__13 ) )
| ( sk__13
!= ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) )
| ~ ( in @ X3 @ ( setunion @ sk__13 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( sk__13
!= ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) )
| ~ ( in @ ( sk__14 @ X0 @ X1 ) @ ( setunion @ sk__13 ) )
| ~ ( in @ ( sk__15 @ X0 @ X1 ) @ ( setunion @ sk__13 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk__13 != X0 )
| ~ ( in @ X0 @ ( cartprod @ X1 @ X2 ) )
| ~ ( in @ ( sk__15 @ ( sk__10 @ X0 @ X2 @ X1 ) @ ( sk__9 @ X0 @ X2 @ X1 ) ) @ ( setunion @ sk__13 ) )
| ~ ( in @ ( sk__14 @ ( sk__10 @ X0 @ X2 @ X1 ) @ ( sk__9 @ X0 @ X2 @ X1 ) ) @ ( setunion @ sk__13 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl17]) ).
thf(zip_derived_cl58,plain,
! [X1: $i,X2: $i] :
( ~ ( in @ ( sk__14 @ ( sk__10 @ sk__13 @ X2 @ X1 ) @ ( sk__9 @ sk__13 @ X2 @ X1 ) ) @ ( setunion @ sk__13 ) )
| ~ ( in @ ( sk__15 @ ( sk__10 @ sk__13 @ X2 @ X1 ) @ ( sk__9 @ sk__13 @ X2 @ X1 ) ) @ ( setunion @ sk__13 ) )
| ~ ( in @ sk__13 @ ( cartprod @ X1 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl6_001,plain,
! [X4: $i,X5: $i,X6: $i] :
( ( X4
= ( setadjoin @ ( setadjoin @ ( sk__9 @ X4 @ X5 @ X6 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__9 @ X4 @ X5 @ X6 ) @ ( setadjoin @ ( sk__10 @ X4 @ X5 @ X6 ) @ emptyset ) ) @ emptyset ) ) )
| ~ ( in @ X4 @ ( cartprod @ X6 @ X5 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] : ( in @ ( sk__14 @ X0 @ X1 ) @ ( setunion @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( sk__14 @ ( sk__10 @ X0 @ X2 @ X1 ) @ ( sk__9 @ X0 @ X2 @ X1 ) ) @ ( setunion @ X0 ) )
| ~ ( in @ X0 @ ( cartprod @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl78,plain,
! [X1: $i,X2: $i] :
( ~ ( in @ sk__13 @ ( cartprod @ X1 @ X2 ) )
| ~ ( in @ ( sk__15 @ ( sk__10 @ sk__13 @ X2 @ X1 ) @ ( sk__9 @ sk__13 @ X2 @ X1 ) ) @ ( setunion @ sk__13 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl58,zip_derived_cl36]) ).
thf(zip_derived_cl6_002,plain,
! [X4: $i,X5: $i,X6: $i] :
( ( X4
= ( setadjoin @ ( setadjoin @ ( sk__9 @ X4 @ X5 @ X6 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__9 @ X4 @ X5 @ X6 ) @ ( setadjoin @ ( sk__10 @ X4 @ X5 @ X6 ) @ emptyset ) ) @ emptyset ) ) )
| ~ ( in @ X4 @ ( cartprod @ X6 @ X5 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] : ( in @ ( sk__15 @ X0 @ X1 ) @ ( setunion @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( sk__15 @ ( sk__10 @ X0 @ X2 @ X1 ) @ ( sk__9 @ X0 @ X2 @ X1 ) ) @ ( setunion @ X0 ) )
| ~ ( in @ X0 @ ( cartprod @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl79,plain,
! [X1: $i,X2: $i] :
~ ( in @ sk__13 @ ( cartprod @ X1 @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl78,zip_derived_cl37]) ).
thf(zip_derived_cl80,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU632^2 : TPTP v9.2.0. Released v3.7.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EyLVRkBOxT true
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Oct 1 16:14:53 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in HO mode
% 0.54/0.65 % Total configuration time : 828
% 0.54/0.65 % Estimated wc time : 1656
% 0.54/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.79 % Solved by lams/40_c.s.sh.
% 0.56/0.79 % done 26 iterations in 0.037s
% 0.56/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.79 % SZS output start Refutation
% See solution above
% 0.56/0.79
% 0.56/0.79
% 0.56/0.79 % Terminating...
% 0.56/0.84 % Runner terminated.
% 0.56/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------