%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU613^2 : 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.HIvdjc4lfM true
% Computer : n022.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 04:55:22 PM UTC 2025
% Result : Theorem 0.55s 0.80s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 80 ( 7 equ; 8 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 266 ( 37 ~; 17 |; 0 &; 188 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 60 ( 18 ^; 42 !; 0 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(binunionIR_type,type,
binunionIR: $o ).
thf(dsetconstrI_type,type,
dsetconstrI: $o ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(symdiff_type,type,
symdiff: $i > $i > $i ).
thf(symdiff,axiom,
( symdiff
= ( ^ [A: $i,B: $i] :
( dsetconstr @ ( binunion @ A @ B )
@ ^ [Xx: $i] :
( ~ ( in @ Xx @ A )
| ~ ( in @ Xx @ B ) ) ) ) ) ).
thf('0',plain,
( symdiff
= ( ^ [A: $i,B: $i] :
( dsetconstr @ ( binunion @ A @ B )
@ ^ [Xx: $i] :
( ~ ( in @ Xx @ A )
| ~ ( in @ Xx @ B ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[symdiff]) ).
thf('1',plain,
( symdiff
= ( ^ [V_1: $i,V_2: $i] :
( dsetconstr @ ( binunion @ V_1 @ V_2 )
@ ^ [V_3: $i] :
( ~ ( in @ V_3 @ V_1 )
| ~ ( in @ V_3 @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf(binunionIR,axiom,
( binunionIR
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
thf('2',plain,
( binunionIR
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrI,axiom,
( dsetconstrI
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
thf('3',plain,
( dsetconstrI
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(symdiffI2,conjecture,
( dsetconstrI
=> ( binunionIR
=> ! [A: $i,B: $i,Xx: $i] :
( ~ ( in @ Xx @ A )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ X12 )
=> ( in @ X14 @ ( binunion @ X10 @ X12 ) ) )
=> ! [X16: $i,X18: $i,X20: $i] :
( ~ ( in @ X20 @ X16 )
=> ( ( in @ X20 @ X18 )
=> ( in @ X20
@ ( dsetconstr @ ( binunion @ X16 @ X18 )
@ ^ [V_2: $i] :
( ~ ( in @ V_2 @ X18 )
| ~ ( in @ V_2 @ X16 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ X12 )
=> ( in @ X14 @ ( binunion @ X10 @ X12 ) ) )
=> ! [X16: $i,X18: $i,X20: $i] :
( ~ ( in @ X20 @ X16 )
=> ( ( in @ X20 @ X18 )
=> ( in @ X20
@ ( dsetconstr @ ( binunion @ X16 @ X18 )
@ ^ [V_2: $i] :
( ~ ( in @ V_2 @ X18 )
| ~ ( in @ V_2 @ X16 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( in @ X3 @ ( binunion @ X4 @ X5 ) )
| ~ ( in @ X3 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X1 )
| ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) )
| ~ ( in @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X1 )
| ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) )
| ~ ( in @ X1 @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( in @ sk__8
@ ( dsetconstr @ ( binunion @ sk__6 @ sk__7 )
@ ^ [Y0: $i] :
( ( (~) @ ( in @ Y0 @ sk__7 ) )
| ( (~) @ ( in @ Y0 @ sk__6 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl76,plain,
( ~ ( in @ sk__8 @ ( binunion @ sk__6 @ sk__7 ) )
| ~ ( ^ [Y0: $i] :
( ( (~) @ ( in @ Y0 @ sk__7 ) )
| ( (~) @ ( in @ Y0 @ sk__6 ) ) )
@ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl81,plain,
( ~ ( in @ sk__8 @ ( binunion @ sk__6 @ sk__7 ) )
| ~ ( ( (~) @ ( in @ sk__8 @ sk__7 ) )
| ( (~) @ ( in @ sk__8 @ sk__6 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl1,plain,
in @ sk__8 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
~ ( in @ sk__8 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl82,plain,
( ~ ( in @ sk__8 @ ( binunion @ sk__6 @ sk__7 ) )
| ~ ( ( (~) @ $true )
| ( (~) @ $false ) ) ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl83,plain,
~ ( in @ sk__8 @ ( binunion @ sk__6 @ sk__7 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl88,plain,
~ ( in @ sk__8 @ sk__7 ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl83]) ).
thf(zip_derived_cl1_001,plain,
in @ sk__8 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl90,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU613^2 : TPTP v9.2.0. Released v3.7.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HIvdjc4lfM true
% 0.12/0.33 % Computer : n022.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 16:07:38 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in HO mode
% 0.52/0.64 % Total configuration time : 828
% 0.52/0.64 % Estimated wc time : 1656
% 0.52/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.80 % Solved by lams/40_c.s.sh.
% 0.55/0.80 % done 7 iterations in 0.050s
% 0.55/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.80 % SZS output start Refutation
% See solution above
% 0.55/0.80
% 0.55/0.80
% 0.55/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.80 % Terminating...
% 0.55/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.91 % Runner terminated.
% 0.57/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------