TSTP Solution File: SEU612^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU612^2 : 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.5C3aOyAn5M true
% Computer : n011.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 19:14:42 EDT 2023
% Result : Theorem 0.21s 0.81s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 31 ( 11 unt; 9 typ; 0 def)
% Number of atoms : 74 ( 6 equ; 6 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 253 ( 25 ~; 18 |; 0 &; 186 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 67 ( 8 ^; 59 !; 0 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__8_type,type,
sk__8: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(binunionIL_type,type,
binunionIL: $o ).
thf(dsetconstrI_type,type,
dsetconstrI: $o ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(symdiff_type,type,
symdiff: $i > $i > $i ).
thf(binunionIL,axiom,
( binunionIL
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
thf('0',plain,
( binunionIL
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( 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('1',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(symdiffI1,conjecture,
( dsetconstrI
=> ( binunionIL
=> ! [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 @ X10 )
=> ( in @ X14 @ ( binunion @ X10 @ X12 ) ) )
=> ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ X16 )
=> ( ~ ( in @ X20 @ X18 )
=> ( in @ X20 @ ( symdiff @ X16 @ X18 ) ) ) ) ) ) ).
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 @ X10 )
=> ( in @ X14 @ ( binunion @ X10 @ X12 ) ) )
=> ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ X16 )
=> ( ~ ( in @ X20 @ X18 )
=> ( in @ X20 @ ( symdiff @ X16 @ X18 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( in @ sk__8 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
in @ sk__8 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( in @ X3 @ ( binunion @ X4 @ X5 ) )
| ~ ( in @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(symdiff,axiom,
! [A: $i,B: $i] :
( ( symdiff @ A @ B )
= ( dsetconstr @ ( binunion @ A @ B )
@ ^ [Xx: $i] :
( ~ ( in @ Xx @ B )
| ~ ( in @ Xx @ A ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( symdiff @ X0 @ X1 )
= ( dsetconstr @ ( binunion @ X0 @ X1 )
@ ^ [Y0: $i] :
( ( (~) @ ( in @ Y0 @ X1 ) )
| ( (~) @ ( in @ Y0 @ X0 ) ) ) ) ),
inference(cnf,[status(esa)],[symdiff]) ).
thf(zip_derived_cl1,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_cl6,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_cl1]) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( symdiff @ X1 @ X0 ) )
| ~ ( in @ X2 @ ( binunion @ X1 @ X0 ) )
| ~ ( ^ [Y0: $i] :
( ( (~) @ ( in @ Y0 @ X0 ) )
| ( (~) @ ( in @ Y0 @ X1 ) ) )
@ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl6]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( symdiff @ X1 @ X0 ) )
| ~ ( in @ X2 @ ( binunion @ X1 @ X0 ) )
| ~ ( ( (~) @ ( in @ X2 @ X0 ) )
| ( (~) @ ( in @ X2 @ X1 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ X1 )
| ~ ( in @ X0 @ ( binunion @ X2 @ X1 ) )
| ( in @ X0 @ ( symdiff @ X2 @ X1 ) ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ X1 )
| ( in @ X2 @ ( symdiff @ X1 @ X0 ) )
| ( in @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl42]) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ( in @ sk__8 @ X0 )
| ( in @ sk__8 @ ( symdiff @ sk__6 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl45]) ).
thf(zip_derived_cl3,plain,
~ ( in @ sk__8 @ ( symdiff @ sk__6 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl54,plain,
in @ sk__8 @ sk__7,
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl3]) ).
thf(zip_derived_cl58,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU612^2 : 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.5C3aOyAn5M true
% 0.14/0.34 % Computer : n011.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 23:43:52 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.65 % Total configuration time : 828
% 0.21/0.65 % Estimated wc time : 1656
% 0.21/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.81 % Solved by lams/40_noforms.sh.
% 0.21/0.81 % done 12 iterations in 0.033s
% 0.21/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.81 % SZS output start Refutation
% See solution above
% 0.21/0.81
% 0.21/0.81
% 0.21/0.81 % Terminating...
% 0.21/0.87 % Runner terminated.
% 0.21/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------