TSTP Solution File: SEU713^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU713^2 : 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.lsiQPs7Txy true
% Computer : n032.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 19:16:30 EDT 2023
% Result : Theorem 0.18s 0.68s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of formulae : 31 ( 10 unt; 10 typ; 0 def)
% Number of atoms : 77 ( 6 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 240 ( 7 ~; 9 |; 0 &; 189 @)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 63 ( 0 ^; 63 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
thf(setminusEL_type,type,
setminusEL: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(powersetI_type,type,
powersetI: $o ).
thf(powersetE_type,type,
powersetE: $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(setminus_type,type,
setminus: $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__12_type,type,
sk__12: $i > $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(setminusEL,axiom,
( setminusEL
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( setminus @ A @ B ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf('0',plain,
( setminusEL
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setminus @ X4 @ X6 ) )
=> ( in @ X8 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(powersetE,axiom,
( powersetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) ) ) ).
thf('1',plain,
( powersetE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(powersetI,axiom,
( powersetI
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) ) ) ).
thf('2',plain,
( powersetI
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) )
=> ( in @ X6 @ ( powerset @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(setminusT_lem,conjecture,
( powersetI
=> ( powersetE
=> ( setminusEL
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ( in @ ( setminus @ X @ Y ) @ ( powerset @ A ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) )
=> ( in @ X6 @ ( powerset @ X4 ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X12 @ ( powerset @ X10 ) )
=> ( ( in @ X14 @ X12 )
=> ( in @ X14 @ X10 ) ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ ( setminus @ X16 @ X18 ) )
=> ( in @ X20 @ X16 ) )
=> ! [X22: $i,X24: $i] :
( ( in @ X24 @ ( powerset @ X22 ) )
=> ! [X26: $i] :
( ( in @ X26 @ ( powerset @ X22 ) )
=> ( in @ ( setminus @ X24 @ X26 ) @ ( powerset @ X22 ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) )
=> ( in @ X6 @ ( powerset @ X4 ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X12 @ ( powerset @ X10 ) )
=> ( ( in @ X14 @ X12 )
=> ( in @ X14 @ X10 ) ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ ( setminus @ X16 @ X18 ) )
=> ( in @ X20 @ X16 ) )
=> ! [X22: $i,X24: $i] :
( ( in @ X24 @ ( powerset @ X22 ) )
=> ! [X26: $i] :
( ( in @ X26 @ ( powerset @ X22 ) )
=> ( in @ ( setminus @ X24 @ X26 ) @ ( powerset @ X22 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
~ ( in @ ( setminus @ sk__10 @ sk__11 ) @ ( powerset @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
| ~ ( in @ ( sk__12 @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
in @ sk__10 @ ( powerset @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X5: $i,X6: $i,X7: $i] :
( ~ ( in @ X5 @ ( powerset @ X6 ) )
| ( in @ X7 @ X6 )
| ~ ( in @ X7 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__10 )
| ( in @ X0 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl6]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
| ( in @ ( sk__12 @ X0 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X2: $i,X3: $i,X4: $i] :
( ( in @ X2 @ X3 )
| ~ ( in @ X2 @ ( setminus @ X3 @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( setminus @ X1 @ X0 ) @ ( powerset @ X2 ) )
| ( in @ ( sk__12 @ ( setminus @ X1 @ X0 ) @ X2 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__12 @ ( setminus @ sk__10 @ X1 ) @ X0 ) @ sk__9 )
| ( in @ ( setminus @ sk__10 @ X1 ) @ ( powerset @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl7]) ).
thf(zip_derived_cl124,plain,
! [X0: $i] :
( ( in @ ( setminus @ sk__10 @ X0 ) @ ( powerset @ sk__9 ) )
| ( in @ ( setminus @ sk__10 @ X0 ) @ ( powerset @ sk__9 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl29]) ).
thf(zip_derived_cl127,plain,
! [X0: $i] : ( in @ ( setminus @ sk__10 @ X0 ) @ ( powerset @ sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl124]) ).
thf(zip_derived_cl131,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU713^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lsiQPs7Txy true
% 0.13/0.32 % Computer : n032.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Wed Aug 23 18:42:41 EDT 2023
% 0.13/0.32 % CPUTime :
% 0.13/0.32 % Running portfolio for 300 s
% 0.13/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.32 % Number of cores: 8
% 0.13/0.32 % Python version: Python 3.6.8
% 0.13/0.32 % Running in HO mode
% 0.18/0.55 % Total configuration time : 828
% 0.18/0.55 % Estimated wc time : 1656
% 0.18/0.55 % Estimated cpu time (8 cpus) : 207.0
% 0.18/0.61 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.18/0.62 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.18/0.63 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.18/0.63 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.18/0.63 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.18/0.64 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.18/0.65 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.18/0.68 % Solved by lams/40_c.s.sh.
% 0.18/0.68 % done 61 iterations in 0.037s
% 0.18/0.68 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.18/0.68 % SZS output start Refutation
% See solution above
% 0.18/0.68
% 0.18/0.68
% 0.18/0.68 % Terminating...
% 0.18/0.76 % Runner terminated.
% 0.18/0.77 % Zipperpin 1.5 exiting
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