TSTP Solution File: SEU114+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU114+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.faEKqt3yH3 true
% Computer : n027.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 19:10:30 EDT 2023
% Result : Theorem 58.19s 9.03s
% Output : Refutation 58.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 48 ( 8 unt; 9 typ; 0 def)
% Number of atoms : 91 ( 11 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 293 ( 36 ~; 38 |; 2 &; 205 @)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 2 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__12_type,type,
sk__12: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(preboolean_type,type,
preboolean: $i > $o ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(t1_subset,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ( element @ A @ B ) ) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl490,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( powerset @ X0 ) )
| ( subset @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl67]) ).
thf(zip_derived_cl1077,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( powerset @ X0 ) @ X1 )
| ( subset @ ( sk_ @ X1 @ ( powerset @ X0 ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl490]) ).
thf(zip_derived_cl12_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl62_002,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(cc2_finset_1,axiom,
! [A: $i] :
( ( finite @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ( finite @ B ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ X1 ) )
| ( finite @ X0 )
| ~ ( finite @ X1 ) ),
inference(cnf,[status(esa)],[cc2_finset_1]) ).
thf(zip_derived_cl425,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( powerset @ X0 ) )
| ( finite @ X1 )
| ~ ( finite @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl4]) ).
thf(zip_derived_cl459,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( powerset @ X0 ) @ X1 )
| ( finite @ ( sk_ @ X1 @ ( powerset @ X0 ) ) )
| ~ ( finite @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl425]) ).
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_cl18,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_cl477,plain,
! [X0: $i,X1: $i] :
( ~ ( preboolean @ ( finite_subsets @ X0 ) )
| ~ ( subset @ X1 @ X0 )
| ~ ( finite @ X1 )
| ( in @ X1 @ ( finite_subsets @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl18]) ).
thf(dt_k5_finsub_1,axiom,
! [A: $i] : ( preboolean @ ( finite_subsets @ A ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i] : ( preboolean @ ( finite_subsets @ X0 ) ),
inference(cnf,[status(esa)],[dt_k5_finsub_1]) ).
thf(zip_derived_cl478,plain,
! [X0: $i,X1: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( finite @ X1 )
| ( in @ X1 @ ( finite_subsets @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl19]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl971,plain,
! [X0: $i,X1: $i] :
( ~ ( finite @ ( sk_ @ ( finite_subsets @ X0 ) @ X1 ) )
| ~ ( subset @ ( sk_ @ ( finite_subsets @ X0 ) @ X1 ) @ X0 )
| ( subset @ X1 @ ( finite_subsets @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl11]) ).
thf(zip_derived_cl4029,plain,
! [X0: $i,X1: $i] :
( ~ ( finite @ X0 )
| ( subset @ ( powerset @ X0 ) @ ( finite_subsets @ X1 ) )
| ~ ( subset @ ( sk_ @ ( finite_subsets @ X1 ) @ ( powerset @ X0 ) ) @ X1 )
| ( subset @ ( powerset @ X0 ) @ ( finite_subsets @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl971]) ).
thf(zip_derived_cl4040,plain,
! [X0: $i,X1: $i] :
( ~ ( subset @ ( sk_ @ ( finite_subsets @ X1 ) @ ( powerset @ X0 ) ) @ X1 )
| ( subset @ ( powerset @ X0 ) @ ( finite_subsets @ X1 ) )
| ~ ( finite @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4029]) ).
thf(zip_derived_cl48365,plain,
! [X0: $i] :
( ( subset @ ( powerset @ X0 ) @ ( finite_subsets @ X0 ) )
| ( subset @ ( powerset @ X0 ) @ ( finite_subsets @ X0 ) )
| ~ ( finite @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1077,zip_derived_cl4040]) ).
thf(zip_derived_cl48411,plain,
! [X0: $i] :
( ~ ( finite @ X0 )
| ( subset @ ( powerset @ X0 ) @ ( finite_subsets @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl48365]) ).
thf(t26_finsub_1,axiom,
! [A: $i] : ( subset @ ( finite_subsets @ A ) @ ( powerset @ A ) ) ).
thf(zip_derived_cl63,plain,
! [X0: $i] : ( subset @ ( finite_subsets @ X0 ) @ ( powerset @ X0 ) ),
inference(cnf,[status(esa)],[t26_finsub_1]) ).
thf(d10_xboole_0,axiom,
! [A: $i,B: $i] :
( ( A = B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl433,plain,
! [X0: $i] :
( ( ( powerset @ X0 )
= ( finite_subsets @ X0 ) )
| ~ ( subset @ ( powerset @ X0 ) @ ( finite_subsets @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl9]) ).
thf(zip_derived_cl48536,plain,
! [X0: $i] :
( ~ ( finite @ X0 )
| ( ( powerset @ X0 )
= ( finite_subsets @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48411,zip_derived_cl433]) ).
thf(t27_finsub_1,conjecture,
! [A: $i] :
( ( finite @ A )
=> ( ( finite_subsets @ A )
= ( powerset @ A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( finite @ A )
=> ( ( finite_subsets @ A )
= ( powerset @ A ) ) ),
inference('cnf.neg',[status(esa)],[t27_finsub_1]) ).
thf(zip_derived_cl65,plain,
( ( finite_subsets @ sk__12 )
!= ( powerset @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl48846,plain,
( ~ ( finite @ sk__12 )
| ( ( powerset @ sk__12 )
!= ( powerset @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48536,zip_derived_cl65]) ).
thf(zip_derived_cl64,plain,
finite @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl48863,plain,
( ( powerset @ sk__12 )
!= ( powerset @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl48846,zip_derived_cl64]) ).
thf(zip_derived_cl48864,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl48863]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU114+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.faEKqt3yH3 true
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 22:28:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 58.19/9.03 % Solved by fo/fo6_bce.sh.
% 58.19/9.03 % BCE start: 74
% 58.19/9.03 % BCE eliminated: 8
% 58.19/9.03 % PE start: 66
% 58.19/9.03 logic: eq
% 58.19/9.03 % PE eliminated: 2
% 58.19/9.03 % done 4239 iterations in 8.283s
% 58.19/9.03 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 58.19/9.03 % SZS output start Refutation
% See solution above
% 58.19/9.03
% 58.19/9.03
% 58.19/9.03 % Terminating...
% 58.19/9.08 % Runner terminated.
% 58.19/9.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------