%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU526^2 : 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.I2nG4YvnRz true
% Computer : n001.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 04:54:55 PM UTC 2025
% Result : Theorem 0.56s 0.78s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 60 ( 20 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 108 ( 10 ~; 4 |; 0 &; 65 @)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 40 ( 3 ^; 34 !; 3 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(emptysetE_type,type,
emptysetE: $o ).
thf(setext_type,type,
setext: $o ).
thf(nonempty_type,type,
nonempty: $i > $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i > $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(nonempty,axiom,
( nonempty
= ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
thf('0',plain,
( nonempty
= ( ^ [Xx: $i] : ( Xx != emptyset ) ) ),
inference(simplify_rw_rule,[status(thm)],[nonempty]) ).
thf('1',plain,
( nonempty
= ( ^ [V_1: $i] : ( V_1 != emptyset ) ) ),
define([status(thm)]) ).
thf(setext,axiom,
( setext
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( A = B ) ) ) ) ) ).
thf('2',plain,
( setext
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( ! [X10: $i] :
( ( in @ X10 @ X6 )
=> ( in @ X10 @ X4 ) )
=> ( X4 = X6 ) ) ) ) ),
define([status(thm)]) ).
thf(emptysetE,axiom,
( emptysetE
= ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi ) ) ) ).
thf('3',plain,
( emptysetE
= ( ! [X4: $i] :
( ( in @ X4 @ emptyset )
=> ! [X6: $o] : X6 ) ) ),
define([status(thm)]) ).
thf(nonemptyImpWitness,conjecture,
( emptysetE
=> ( setext
=> ! [A: $i] :
( ( nonempty @ A )
=> ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i] :
( ( in @ X4 @ emptyset )
=> ! [X6: $o] : X6 )
=> ( ! [X8: $i,X10: $i] :
( ! [X12: $i] :
( ( in @ X12 @ X8 )
=> ( in @ X12 @ X10 ) )
=> ( ! [X14: $i] :
( ( in @ X14 @ X10 )
=> ( in @ X14 @ X8 ) )
=> ( X8 = X10 ) ) )
=> ! [X16: $i] :
( ( X16 != emptyset )
=> ? [X18: $i] : ( in @ X18 @ X16 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i] :
( ( in @ X4 @ emptyset )
=> ! [X6: $o] : X6 )
=> ( ! [X8: $i,X10: $i] :
( ! [X12: $i] :
( ( in @ X12 @ X8 )
=> ( in @ X12 @ X10 ) )
=> ( ! [X14: $i] :
( ( in @ X14 @ X10 )
=> ( in @ X14 @ X8 ) )
=> ( X8 = X10 ) ) )
=> ! [X16: $i] :
( ( X16 != emptyset )
=> ? [X18: $i] : ( in @ X18 @ X16 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X3: $i,X4: $i] :
( ( in @ ( sk__6 @ X3 @ X4 ) @ X3 )
| ( X4 = X3 )
| ( in @ ( sk__7 @ X3 @ X4 ) @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X2: $i] :
~ ( in @ X2 @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ( sk__8 = X0 )
| ( in @ ( sk__6 @ X0 @ sk__8 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).
thf(zip_derived_cl0,plain,
! [X0: $o,X1: $i] :
( X0
| ~ ( in @ X1 @ emptyset ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
~ ( in @ X0 @ emptyset ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl26,plain,
sk__8 = emptyset,
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl13]) ).
thf(zip_derived_cl2,plain,
sk__8 != emptyset,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl29,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU526^2 : TPTP v9.2.0. Released v3.7.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.I2nG4YvnRz true
% 0.13/0.35 % Computer : n001.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 16:13:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.55/0.67 % Total configuration time : 828
% 0.55/0.67 % Estimated wc time : 1656
% 0.55/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.78 % Solved by lams/40_c.s.sh.
% 0.56/0.78 % done 5 iterations in 0.010s
% 0.56/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.78 % SZS output start Refutation
% See solution above
% 0.56/0.78
% 0.56/0.78
% 0.56/0.78 % Terminating...
% 1.75/0.86 % Runner terminated.
% 1.75/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------