TSTP Solution File: SEU634^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU634^2 : 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.MOBABlJzXQ true
% Computer : n003.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 19:15:03 EDT 2023
% Result : Theorem 0.71s 0.88s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 33 ( 9 unt; 11 typ; 0 def)
% Number of atoms : 74 ( 12 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 223 ( 10 ~; 11 |; 4 &; 173 @)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 55 ( 0 ^; 51 !; 4 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(uniqinunit_type,type,
uniqinunit: $o ).
thf(sk__10_type,type,
sk__10: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(subsetI2_type,type,
subsetI2: $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(setunion_type,type,
setunion: $i > $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(sk__8_type,type,
sk__8: $i > $i > $i ).
thf(setunionE2_type,type,
setunionE2: $o ).
thf(setunionE2,axiom,
( setunionE2
= ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
=> ? [X: $i] :
( ( in @ Xx @ X )
& ( in @ X @ A ) ) ) ) ) ).
thf('0',plain,
( setunionE2
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( setunion @ X4 ) )
=> ? [X8: $i] :
( ( in @ X6 @ X8 )
& ( in @ X8 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(subsetI2,axiom,
( subsetI2
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('1',plain,
( subsetI2
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(uniqinunit,axiom,
( uniqinunit
= ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( Xx = Xy ) ) ) ) ).
thf('2',plain,
( uniqinunit
= ( ! [X4: $i,X6: $i] :
( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
=> ( X4 = X6 ) ) ) ),
define([status(thm)]) ).
thf(setunionsingleton1,conjecture,
( uniqinunit
=> ( subsetI2
=> ( setunionE2
=> ! [A: $i] : ( subset @ ( setunion @ ( setadjoin @ A @ emptyset ) ) @ A ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
=> ( X4 = X6 ) )
=> ( ! [X8: $i,X10: $i] :
( ! [X12: $i] :
( ( in @ X12 @ X8 )
=> ( in @ X12 @ X10 ) )
=> ( subset @ X8 @ X10 ) )
=> ( ! [X14: $i,X16: $i] :
( ( in @ X16 @ ( setunion @ X14 ) )
=> ? [X18: $i] :
( ( in @ X16 @ X18 )
& ( in @ X18 @ X14 ) ) )
=> ! [X20: $i] : ( subset @ ( setunion @ ( setadjoin @ X20 @ emptyset ) ) @ X20 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
=> ( X4 = X6 ) )
=> ( ! [X8: $i,X10: $i] :
( ! [X12: $i] :
( ( in @ X12 @ X8 )
=> ( in @ X12 @ X10 ) )
=> ( subset @ X8 @ X10 ) )
=> ( ! [X14: $i,X16: $i] :
( ( in @ X16 @ ( setunion @ X14 ) )
=> ? [X18: $i] :
( ( in @ X16 @ X18 )
& ( in @ X18 @ X14 ) ) )
=> ! [X20: $i] : ( subset @ ( setunion @ ( setadjoin @ X20 @ emptyset ) ) @ X20 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
~ ( subset @ ( setunion @ ( setadjoin @ sk__9 @ emptyset ) ) @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X4: $i,X5: $i] :
( ( subset @ X4 @ X5 )
| ~ ( in @ ( sk__8 @ X5 @ X4 ) @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( in @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X2: $i,X3: $i] :
( ( in @ ( sk__10 @ X2 @ X3 ) @ X3 )
| ~ ( in @ X2 @ ( setunion @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( ( sk__10 @ X1 @ ( setadjoin @ X0 @ emptyset ) )
= X0 )
| ~ ( in @ X1 @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl1,plain,
! [X2: $i,X3: $i] :
( ( in @ X2 @ ( sk__10 @ X2 @ X3 ) )
| ~ ( in @ X2 @ ( setunion @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ( in @ X1 @ X0 )
| ~ ( in @ X1 @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) )
| ~ ( in @ X1 @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) )
| ( in @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl5,plain,
! [X4: $i,X5: $i] :
( ( subset @ X4 @ X5 )
| ( in @ ( sk__8 @ X5 @ X4 ) @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__8 @ X1 @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) ) @ X0 )
| ( subset @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl5]) ).
thf(zip_derived_cl58,plain,
! [X0: $i] :
( ( subset @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) @ X0 )
| ( subset @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl39]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] : ( subset @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl72,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl68]) ).
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU634^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MOBABlJzXQ true
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 23 12:38:07 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in HO mode
% 0.23/0.74 % Total configuration time : 828
% 0.23/0.74 % Estimated wc time : 1656
% 0.23/0.74 % Estimated cpu time (8 cpus) : 207.0
% 0.67/0.82 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.67/0.83 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.67/0.83 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.67/0.83 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.67/0.83 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.67/0.83 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.71/0.88 % Solved by lams/40_c.s.sh.
% 0.71/0.88 % done 24 iterations in 0.033s
% 0.71/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.71/0.88 % SZS output start Refutation
% See solution above
% 0.71/0.88
% 0.71/0.88
% 0.71/0.89 % Terminating...
% 0.71/0.89 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.99/0.94 % Runner terminated.
% 2.01/0.95 % Zipperpin 1.5 exiting
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