TSTP Solution File: SEU735^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU735^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HsmmwVd5gB 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 19:16:51 EDT 2023
% Result : Theorem 0.17s 0.68s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 16
% Syntax : Number of formulae : 25 ( 8 unt; 10 typ; 0 def)
% Number of atoms : 53 ( 4 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 215 ( 9 ~; 6 |; 0 &; 176 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 37 ( 0 ^; 37 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(complementSubsetComplementIntersect_type,type,
complementSubsetComplementIntersect: $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(binintersect_type,type,
binintersect: $i > $i > $i ).
thf(setminus_type,type,
setminus: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(powersetI1_type,type,
powersetI1: $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(complementSubsetComplementIntersect,axiom,
( complementSubsetComplementIntersect
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ( subset @ ( setminus @ A @ X ) @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ).
thf('0',plain,
( complementSubsetComplementIntersect
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ( subset @ ( setminus @ X4 @ X6 ) @ ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(powersetI1,axiom,
( powersetI1
= ( ! [A: $i,B: $i] :
( ( subset @ B @ A )
=> ( in @ B @ ( powerset @ A ) ) ) ) ) ).
thf('1',plain,
( powersetI1
= ( ! [X4: $i,X6: $i] :
( ( subset @ X6 @ X4 )
=> ( in @ X6 @ ( powerset @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(complementInPowersetComplementIntersect,conjecture,
( powersetI1
=> ( complementSubsetComplementIntersect
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ( in @ ( setminus @ A @ X ) @ ( powerset @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( subset @ X6 @ X4 )
=> ( in @ X6 @ ( powerset @ X4 ) ) )
=> ( ! [X8: $i,X10: $i] :
( ( in @ X10 @ ( powerset @ X8 ) )
=> ! [X12: $i] :
( ( in @ X12 @ ( powerset @ X8 ) )
=> ( subset @ ( setminus @ X8 @ X10 ) @ ( setminus @ X8 @ ( binintersect @ X10 @ X12 ) ) ) ) )
=> ! [X14: $i,X16: $i] :
( ( in @ X16 @ ( powerset @ X14 ) )
=> ! [X18: $i] :
( ( in @ X18 @ ( powerset @ X14 ) )
=> ( in @ ( setminus @ X14 @ X16 ) @ ( powerset @ ( setminus @ X14 @ ( binintersect @ X16 @ X18 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( subset @ X6 @ X4 )
=> ( in @ X6 @ ( powerset @ X4 ) ) )
=> ( ! [X8: $i,X10: $i] :
( ( in @ X10 @ ( powerset @ X8 ) )
=> ! [X12: $i] :
( ( in @ X12 @ ( powerset @ X8 ) )
=> ( subset @ ( setminus @ X8 @ X10 ) @ ( setminus @ X8 @ ( binintersect @ X10 @ X12 ) ) ) ) )
=> ! [X14: $i,X16: $i] :
( ( in @ X16 @ ( powerset @ X14 ) )
=> ! [X18: $i] :
( ( in @ X18 @ ( powerset @ X14 ) )
=> ( in @ ( setminus @ X14 @ X16 ) @ ( powerset @ ( setminus @ X14 @ ( binintersect @ X16 @ X18 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( in @ X2 @ ( powerset @ X3 ) )
| ( subset @ ( setminus @ X3 @ X4 ) @ ( setminus @ X3 @ ( binintersect @ X4 @ X2 ) ) )
| ~ ( in @ X4 @ ( powerset @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X1 @ ( powerset @ X2 ) )
| ~ ( in @ X0 @ ( powerset @ X2 ) )
| ( in @ ( setminus @ X2 @ X1 ) @ ( powerset @ ( setminus @ X2 @ ( binintersect @ X1 @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( in @ ( setminus @ sk__5 @ sk__6 ) @ ( powerset @ ( setminus @ sk__5 @ ( binintersect @ sk__6 @ sk__7 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
( ~ ( in @ sk__7 @ ( powerset @ sk__5 ) )
| ~ ( in @ sk__6 @ ( powerset @ sk__5 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl1,plain,
in @ sk__7 @ ( powerset @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
in @ sk__6 @ ( powerset @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl1,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU735^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HsmmwVd5gB true
% 0.10/0.32 % Computer : n032.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Aug 23 16:29:26 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.33 % Python version: Python 3.6.8
% 0.10/0.33 % Running in HO mode
% 0.17/0.59 % Total configuration time : 828
% 0.17/0.59 % Estimated wc time : 1656
% 0.17/0.59 % Estimated cpu time (8 cpus) : 207.0
% 0.17/0.63 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.17/0.63 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.17/0.64 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.17/0.64 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.17/0.65 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.17/0.65 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.17/0.68 % Solved by lams/40_c.s.sh.
% 0.17/0.68 % done 5 iterations in 0.011s
% 0.17/0.68 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.17/0.68 % SZS output start Refutation
% See solution above
% 0.17/0.68
% 0.17/0.68
% 0.17/0.68 % Terminating...
% 0.17/0.78 % Runner terminated.
% 0.17/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------