TSTP Solution File: SEU117+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU117+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.W2BuqJXQez true
% Computer : n026.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 19:10:31 EDT 2023
% Result : Theorem 0.13s 0.70s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of formulae : 32 ( 7 unt; 12 typ; 0 def)
% Number of atoms : 49 ( 7 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 144 ( 19 ~; 18 |; 4 &; 96 @)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 0 ^; 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(preboolean_type,type,
preboolean: $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(cup_closed_type,type,
cup_closed: $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(finite_subsets_type,type,
finite_subsets: $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(finite_type,type,
finite: $i > $o ).
thf(diff_closed_type,type,
diff_closed: $i > $o ).
thf(t32_finsub_1,conjecture,
! [A: $i,B: $i] :
( ( element @ B @ ( finite_subsets @ A ) )
=> ( element @ B @ ( powerset @ A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( element @ B @ ( finite_subsets @ A ) )
=> ( element @ B @ ( powerset @ A ) ) ),
inference('cnf.neg',[status(esa)],[t32_finsub_1]) ).
thf(zip_derived_cl59,plain,
~ ( element @ sk__11 @ ( powerset @ sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58,plain,
element @ sk__11 @ ( finite_subsets @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
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_cl63,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(t3_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl320,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( preboolean @ X0 )
| ~ ( in @ X2 @ X0 )
| ( X0
!= ( finite_subsets @ X1 ) )
| ( element @ X2 @ ( powerset @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl55]) ).
thf(zip_derived_cl388,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X1 @ X0 )
| ( empty @ X0 )
| ( element @ X1 @ ( powerset @ X2 ) )
| ( X0
!= ( finite_subsets @ X2 ) )
| ~ ( preboolean @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl320]) ).
thf(zip_derived_cl598,plain,
! [X0: $i] :
( ~ ( preboolean @ ( finite_subsets @ sk__10 ) )
| ( ( finite_subsets @ sk__10 )
!= ( finite_subsets @ X0 ) )
| ( element @ sk__11 @ ( powerset @ X0 ) )
| ( empty @ ( finite_subsets @ sk__10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl388]) ).
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(fc2_finsub_1,axiom,
! [A: $i] :
( ( preboolean @ ( finite_subsets @ A ) )
& ( diff_closed @ ( finite_subsets @ A ) )
& ( cup_closed @ ( finite_subsets @ A ) )
& ~ ( empty @ ( finite_subsets @ A ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
~ ( empty @ ( finite_subsets @ X0 ) ),
inference(cnf,[status(esa)],[fc2_finsub_1]) ).
thf(zip_derived_cl607,plain,
! [X0: $i] :
( ( ( finite_subsets @ sk__10 )
!= ( finite_subsets @ X0 ) )
| ( element @ sk__11 @ ( powerset @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl598,zip_derived_cl10,zip_derived_cl15]) ).
thf(zip_derived_cl617,plain,
( ( finite_subsets @ sk__10 )
!= ( finite_subsets @ sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl59,zip_derived_cl607]) ).
thf(zip_derived_cl619,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl617]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU117+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.08 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.W2BuqJXQez true
% 0.08/0.27 % Computer : n026.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Wed Aug 23 14:57:01 EDT 2023
% 0.08/0.27 % CPUTime :
% 0.08/0.27 % Running portfolio for 300 s
% 0.08/0.27 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.27 % Number of cores: 8
% 0.08/0.27 % Python version: Python 3.6.8
% 0.08/0.27 % Running in FO mode
% 0.13/0.53 % Total configuration time : 435
% 0.13/0.53 % Estimated wc time : 1092
% 0.13/0.53 % Estimated cpu time (7 cpus) : 156.0
% 0.13/0.58 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.13/0.59 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.13/0.59 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.13/0.60 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.13/0.60 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.13/0.60 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.13/0.61 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.13/0.70 % Solved by fo/fo3_bce.sh.
% 0.13/0.70 % BCE start: 66
% 0.13/0.70 % BCE eliminated: 8
% 0.13/0.70 % PE start: 58
% 0.13/0.70 logic: eq
% 0.13/0.70 % PE eliminated: -4
% 0.13/0.70 % done 128 iterations in 0.089s
% 0.13/0.70 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.13/0.70 % SZS output start Refutation
% See solution above
% 0.13/0.70
% 0.13/0.70
% 0.13/0.70 % Terminating...
% 0.13/0.78 % Runner terminated.
% 1.42/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------