%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU810^2 : 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.m05Wmod6a8 true
% Computer : n024.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 04:56:33 PM UTC 2025
% Result : Theorem 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 18 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 53 ( 21 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 101 ( 5 ~; 1 |; 0 &; 67 @)
% ( 4 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 43 ( 3 ^; 40 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(emptysetE_type,type,
emptysetE: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(omegaS_type,type,
omegaS: $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(setadjoinIL_type,type,
setadjoinIL: $o ).
thf(omega_type,type,
omega: $i ).
thf(in__Cong_type,type,
in__Cong: $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(omegaS,axiom,
( omegaS
= ( ^ [Xx: $i] : ( setadjoin @ Xx @ Xx ) ) ) ).
thf('0',plain,
( omegaS
= ( ^ [Xx: $i] : ( setadjoin @ Xx @ Xx ) ) ),
inference(simplify_rw_rule,[status(thm)],[omegaS]) ).
thf('1',plain,
( omegaS
= ( ^ [V_1: $i] : ( setadjoin @ V_1 @ V_1 ) ) ),
define([status(thm)]) ).
thf(in__Cong,axiom,
( in__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) ) ) ) ).
thf('2',plain,
( in__Cong
= ( ! [X4: $i,X6: $i] :
( ( X4 = X6 )
=> ! [X8: $i,X10: $i] :
( ( X8 = X10 )
=> ( ( in @ X8 @ X4 )
<=> ( in @ X10 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(setadjoinIL,axiom,
( setadjoinIL
= ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
thf('3',plain,
( setadjoinIL
= ( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(emptysetE,axiom,
( emptysetE
= ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi ) ) ) ).
thf('4',plain,
( emptysetE
= ( ! [X4: $i] :
( ( in @ X4 @ emptyset )
=> ! [X6: $o] : X6 ) ) ),
define([status(thm)]) ).
thf(peano0notS,conjecture,
( emptysetE
=> ( setadjoinIL
=> ( in__Cong
=> ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( ( omegaS @ Xx )
!= emptyset ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i] :
( ( in @ X4 @ emptyset )
=> ! [X6: $o] : X6 )
=> ( ! [X8: $i,X10: $i] : ( in @ X8 @ ( setadjoin @ X8 @ X10 ) )
=> ( ! [X12: $i,X14: $i] :
( ( X12 = X14 )
=> ! [X16: $i,X18: $i] :
( ( X16 = X18 )
=> ( ( in @ X16 @ X12 )
<=> ( in @ X18 @ X14 ) ) ) )
=> ! [X20: $i] :
( ( in @ X20 @ omega )
=> ( ( setadjoin @ X20 @ X20 )
!= emptyset ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i] :
( ( in @ X4 @ emptyset )
=> ! [X6: $o] : X6 )
=> ( ! [X8: $i,X10: $i] : ( in @ X8 @ ( setadjoin @ X8 @ X10 ) )
=> ( ! [X12: $i,X14: $i] :
( ( X12 = X14 )
=> ! [X16: $i,X18: $i] :
( ( X16 = X18 )
=> ( ( in @ X16 @ X12 )
<=> ( in @ X18 @ X14 ) ) ) )
=> ! [X20: $i] :
( ( in @ X20 @ omega )
=> ( ( setadjoin @ X20 @ X20 )
!= emptyset ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
( ( setadjoin @ sk__8 @ sk__8 )
= emptyset ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X6: $i,X7: $i] : ( in @ X6 @ ( setadjoin @ X6 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
in @ sk__8 @ emptyset,
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).
thf(zip_derived_cl0,plain,
! [X0: $o,X1: $i] :
( X0
| ~ ( in @ X1 @ emptyset ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X0: $o] : X0,
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl12,plain,
$false,
inference(flex_resolve,[status(thm)],[zip_derived_cl8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU810^2 : TPTP v9.2.0. Released v3.7.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.m05Wmod6a8 true
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 16:10:23 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in HO mode
% 0.42/0.60 % Total configuration time : 828
% 0.42/0.60 % Estimated wc time : 1656
% 0.42/0.60 % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.55/0.76 % Solved by lams/40_c_ic.sh.
% 0.55/0.76 % done 5 iterations in 0.011s
% 0.55/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.76 % SZS output start Refutation
% See solution above
% 0.55/0.76
% 0.55/0.76
% 0.55/0.76 % Terminating...
% 1.96/0.84 % Runner terminated.
% 1.96/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------