TSTP Solution File: SEU110+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU110+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Z2mOKzVNUU 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 19:10:29 EDT 2023
% Result : Theorem 8.95s 1.75s
% Output : Refutation 8.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 8 unt; 8 typ; 0 def)
% Number of atoms : 84 ( 10 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 289 ( 28 ~; 41 |; 2 &; 210 @)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 61 ( 0 ^; 61 !; 0 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(finite_type,type,
finite: $i > $o ).
thf(finite_subsets_type,type,
finite_subsets: $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(preboolean_type,type,
preboolean: $i > $o ).
thf(t23_finsub_1,conjecture,
! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( subset @ ( finite_subsets @ A ) @ ( finite_subsets @ B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( subset @ ( finite_subsets @ A ) @ ( finite_subsets @ B ) ) ),
inference('cnf.neg',[status(esa)],[t23_finsub_1]) ).
thf(zip_derived_cl20,plain,
~ ( subset @ ( finite_subsets @ sk__2 ) @ ( finite_subsets @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl19,plain,
subset @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k5_finsub_1,axiom,
! [A: $i] : ( preboolean @ ( finite_subsets @ A ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] : ( preboolean @ ( finite_subsets @ X0 ) ),
inference(cnf,[status(esa)],[dt_k5_finsub_1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(d5_finsub_1,axiom,
! [A: $i,B: $i] :
( ( preboolean @ B )
=> ( ( B
= ( finite_subsets @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( ( subset @ C @ A )
& ( finite @ C ) ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( finite_subsets @ X0 ) )
| ( subset @ X2 @ X0 )
| ~ ( in @ X2 @ X1 )
| ~ ( preboolean @ X1 ) ),
inference(cnf,[status(esa)],[d5_finsub_1]) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ X1 )
| ~ ( preboolean @ X0 )
| ( subset @ ( sk_ @ X1 @ X0 ) @ X2 )
| ( X0
!= ( finite_subsets @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl7]) ).
thf(zip_derived_cl145,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( finite_subsets @ X0 )
!= ( finite_subsets @ X1 ) )
| ( subset @ ( sk_ @ X2 @ ( finite_subsets @ X0 ) ) @ X1 )
| ( subset @ ( finite_subsets @ X0 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl77]) ).
thf(zip_derived_cl148,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( finite_subsets @ X1 ) @ X0 )
| ( subset @ ( sk_ @ X0 @ ( finite_subsets @ X1 ) ) @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl145]) ).
thf(t1_xboole_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ B @ C ) )
=> ( subset @ A @ C ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X2 )
| ( subset @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t1_xboole_1]) ).
thf(zip_derived_cl294,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( finite_subsets @ X0 ) @ X1 )
| ( subset @ ( sk_ @ X1 @ ( finite_subsets @ X0 ) ) @ X2 )
| ~ ( subset @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl16]) ).
thf(zip_derived_cl307,plain,
! [X0: $i] :
( ( subset @ ( sk_ @ X0 @ ( finite_subsets @ sk__2 ) ) @ sk__3 )
| ( subset @ ( finite_subsets @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl294]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( finite_subsets @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( finite @ X2 )
| ~ ( subset @ X2 @ X0 )
| ~ ( preboolean @ X1 ) ),
inference(cnf,[status(esa)],[d5_finsub_1]) ).
thf(zip_derived_cl313,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( finite_subsets @ sk__2 ) @ X0 )
| ~ ( preboolean @ X1 )
| ~ ( finite @ ( sk_ @ X0 @ ( finite_subsets @ sk__2 ) ) )
| ( in @ ( sk_ @ X0 @ ( finite_subsets @ sk__2 ) ) @ X1 )
| ( X1
!= ( finite_subsets @ sk__3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl9]) ).
thf(zip_derived_cl10_001,plain,
! [X0: $i] : ( preboolean @ ( finite_subsets @ X0 ) ),
inference(cnf,[status(esa)],[dt_k5_finsub_1]) ).
thf(zip_derived_cl3_002,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( finite_subsets @ X0 ) )
| ( finite @ X2 )
| ~ ( in @ X2 @ X1 )
| ~ ( preboolean @ X1 ) ),
inference(cnf,[status(esa)],[d5_finsub_1]) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ X1 )
| ~ ( preboolean @ X0 )
| ( finite @ ( sk_ @ X1 @ X0 ) )
| ( X0
!= ( finite_subsets @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl8]) ).
thf(zip_derived_cl146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( finite_subsets @ X0 )
!= ( finite_subsets @ X1 ) )
| ( finite @ ( sk_ @ X2 @ ( finite_subsets @ X0 ) ) )
| ( subset @ ( finite_subsets @ X0 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl78]) ).
thf(zip_derived_cl172,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( finite_subsets @ X1 ) @ X0 )
| ( finite @ ( sk_ @ X0 @ ( finite_subsets @ X1 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl146]) ).
thf(zip_derived_cl3603,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( finite_subsets @ sk__3 ) )
| ( in @ ( sk_ @ X0 @ ( finite_subsets @ sk__2 ) ) @ X1 )
| ~ ( preboolean @ X1 )
| ( subset @ ( finite_subsets @ sk__2 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl313,zip_derived_cl172]) ).
thf(zip_derived_cl3604,plain,
! [X0: $i] :
( ( subset @ ( finite_subsets @ sk__2 ) @ X0 )
| ~ ( preboolean @ ( finite_subsets @ sk__3 ) )
| ( in @ ( sk_ @ X0 @ ( finite_subsets @ sk__2 ) ) @ ( finite_subsets @ sk__3 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3603]) ).
thf(zip_derived_cl10_003,plain,
! [X0: $i] : ( preboolean @ ( finite_subsets @ X0 ) ),
inference(cnf,[status(esa)],[dt_k5_finsub_1]) ).
thf(zip_derived_cl3605,plain,
! [X0: $i] :
( ( subset @ ( finite_subsets @ sk__2 ) @ X0 )
| ( in @ ( sk_ @ X0 @ ( finite_subsets @ sk__2 ) ) @ ( finite_subsets @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3604,zip_derived_cl10]) ).
thf(zip_derived_cl3610,plain,
( ( subset @ ( finite_subsets @ sk__2 ) @ ( finite_subsets @ sk__3 ) )
| ( subset @ ( finite_subsets @ sk__2 ) @ ( finite_subsets @ sk__3 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl3605]) ).
thf(zip_derived_cl3611,plain,
subset @ ( finite_subsets @ sk__2 ) @ ( finite_subsets @ sk__3 ),
inference(simplify,[status(thm)],[zip_derived_cl3610]) ).
thf(zip_derived_cl3615,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl3611]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU110+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.09 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Z2mOKzVNUU true
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Wed Aug 23 18:36:26 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % Running portfolio for 300 s
% 0.09/0.29 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Number of cores: 8
% 0.09/0.29 % Python version: Python 3.6.8
% 0.09/0.29 % Running in FO mode
% 0.14/0.49 % Total configuration time : 435
% 0.14/0.49 % Estimated wc time : 1092
% 0.14/0.49 % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.14/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.14/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.14/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.14/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.14/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 8.95/1.75 % Solved by fo/fo4.sh.
% 8.95/1.75 % done 1015 iterations in 1.157s
% 8.95/1.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.95/1.75 % SZS output start Refutation
% See solution above
% 8.95/1.75
% 8.95/1.75
% 8.95/1.76 % Terminating...
% 8.95/1.80 % Runner terminated.
% 8.95/1.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------