TSTP Solution File: SEU611^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU611^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ac5F14zQrD 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 Aug 31 19:14:41 EDT 2023
% Result : Theorem 0.21s 0.76s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 21
% Syntax : Number of formulae : 45 ( 18 unt; 11 typ; 0 def)
% Number of atoms : 117 ( 9 equ; 10 cnn)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 364 ( 38 ~; 27 |; 0 &; 257 @)
% ( 0 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 87 ( 24 ^; 63 !; 0 ?; 87 :)
% Comments :
%------------------------------------------------------------------------------
thf(binunionE_type,type,
binunionE: $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(dsetconstrEL_type,type,
dsetconstrEL: $o ).
thf(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(sk__12_type,type,
sk__12: $o ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(symdiff_type,type,
symdiff: $i > $i > $i ).
thf(binunion_type,type,
binunion: $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(binunionE,axiom,
( binunionE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( binunion @ A @ B ) )
=> ( ( in @ Xx @ A )
| ( in @ Xx @ B ) ) ) ) ) ).
thf('2',plain,
( binunionE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( binunion @ X4 @ X6 ) )
=> ( ( in @ X8 @ X4 )
| ( in @ X8 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrER,axiom,
( dsetconstrER
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) ) ) ).
thf('3',plain,
( dsetconstrER
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrEL,axiom,
( dsetconstrEL
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf('4',plain,
( dsetconstrEL
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(symdiffE,conjecture,
( dsetconstrEL
=> ( dsetconstrER
=> ( binunionE
=> ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( symdiff @ A @ B ) )
=> ! [Xphi: $o] :
( ( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ B )
=> Xphi ) )
=> ( ( ~ ( in @ Xx @ A )
=> ( ( in @ Xx @ B )
=> Xphi ) )
=> Xphi ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) )
=> ( ! [X10: $i,X12: $i > $o,X14: $i] :
( ( in @ X14
@ ( dsetconstr @ X10
@ ^ [V_2: $i] : ( X12 @ V_2 ) ) )
=> ( X12 @ X14 ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ ( binunion @ X16 @ X18 ) )
=> ( ( in @ X20 @ X16 )
| ( in @ X20 @ X18 ) ) )
=> ! [X22: $i,X24: $i,X26: $i] :
( ( in @ X26
@ ( dsetconstr @ ( binunion @ X22 @ X24 )
@ ^ [V_3: $i] :
( ~ ( in @ V_3 @ X24 )
| ~ ( in @ V_3 @ X22 ) ) ) )
=> ! [X28: $o] :
( ( ( in @ X26 @ X22 )
=> ( ~ ( in @ X26 @ X24 )
=> X28 ) )
=> ( ( ~ ( in @ X26 @ X22 )
=> ( ( in @ X26 @ X24 )
=> X28 ) )
=> X28 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) )
=> ( ! [X10: $i,X12: $i > $o,X14: $i] :
( ( in @ X14
@ ( dsetconstr @ X10
@ ^ [V_2: $i] : ( X12 @ V_2 ) ) )
=> ( X12 @ X14 ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ ( binunion @ X16 @ X18 ) )
=> ( ( in @ X20 @ X16 )
| ( in @ X20 @ X18 ) ) )
=> ! [X22: $i,X24: $i,X26: $i] :
( ( in @ X26
@ ( dsetconstr @ ( binunion @ X22 @ X24 )
@ ^ [V_3: $i] :
( ~ ( in @ V_3 @ X24 )
| ~ ( in @ V_3 @ X22 ) ) ) )
=> ! [X28: $o] :
( ( ( in @ X26 @ X22 )
=> ( ~ ( in @ X26 @ X24 )
=> X28 ) )
=> ( ( ~ ( in @ X26 @ X22 )
=> ( ( in @ X26 @ X24 )
=> X28 ) )
=> X28 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
( in @ sk__11
@ ( dsetconstr @ ( binunion @ sk__9 @ sk__10 )
@ ^ [Y0: $i] :
( ( (~) @ ( in @ Y0 @ sk__10 ) )
| ( (~) @ ( in @ Y0 @ sk__9 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X6: $i > $o,X7: $i,X8: $i] :
( ( X6 @ X7 )
| ~ ( in @ X7
@ ( dsetconstr @ X8
@ ^ [Y0: $i] : ( X6 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl21,plain,
! [X6: $i > $o,X7: $i,X8: $i] :
( ( X6 @ X7 )
| ~ ( in @ X7 @ ( dsetconstr @ X8 @ X6 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl28,plain,
( ^ [Y0: $i] :
( ( (~) @ ( in @ Y0 @ sk__10 ) )
| ( (~) @ ( in @ Y0 @ sk__9 ) ) )
@ sk__11 ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl21]) ).
thf(zip_derived_cl55,plain,
( ( (~) @ ( in @ sk__11 @ sk__10 ) )
| ( (~) @ ( in @ sk__11 @ sk__9 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl5_001,plain,
( in @ sk__11
@ ( dsetconstr @ ( binunion @ sk__9 @ sk__10 )
@ ^ [Y0: $i] :
( ( (~) @ ( in @ Y0 @ sk__10 ) )
| ( (~) @ ( in @ Y0 @ sk__9 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ( in @ X0 @ X1 )
| ~ ( in @ X0
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ( in @ X0 @ X1 )
| ~ ( in @ X0 @ ( dsetconstr @ X1 @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl14,plain,
in @ sk__11 @ ( binunion @ sk__9 @ sk__10 ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).
thf(zip_derived_cl1,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( in @ X3 @ X4 )
| ( in @ X3 @ X5 )
| ~ ( in @ X3 @ ( binunion @ X5 @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl15,plain,
( ( in @ sk__11 @ sk__9 )
| ( in @ sk__11 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl1]) ).
thf(zip_derived_cl2,plain,
( ( in @ sk__11 @ sk__10 )
| sk__12
| ~ ( in @ sk__11 @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
~ sk__12,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
( ( in @ sk__11 @ sk__10 )
| ~ ( in @ sk__11 @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl17,plain,
in @ sk__11 @ sk__10,
inference(clc,[status(thm)],[zip_derived_cl15,zip_derived_cl7]) ).
thf(zip_derived_cl4,plain,
( ~ ( in @ sk__11 @ sk__10 )
| sk__12
| ( in @ sk__11 @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3_002,plain,
~ sk__12,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
( ~ ( in @ sk__11 @ sk__10 )
| ( in @ sk__11 @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).
thf(zip_derived_cl17_003,plain,
in @ sk__11 @ sk__10,
inference(clc,[status(thm)],[zip_derived_cl15,zip_derived_cl7]) ).
thf(zip_derived_cl18,plain,
in @ sk__11 @ sk__9,
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl17]) ).
thf(zip_derived_cl56,plain,
( ( (~) @ $true )
| ( (~) @ $true ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl17,zip_derived_cl18]) ).
thf(zip_derived_cl57,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU611^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ac5F14zQrD true
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 16:02:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.64 % Total configuration time : 828
% 0.21/0.64 % Estimated wc time : 1656
% 0.21/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76 % Solved by lams/40_c.s.sh.
% 0.21/0.76 % done 10 iterations in 0.028s
% 0.21/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.76 % SZS output start Refutation
% See solution above
% 0.21/0.76
% 0.21/0.76
% 0.21/0.76 % Terminating...
% 0.62/0.85 % Runner terminated.
% 0.62/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------