TSTP Solution File: SEU115+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU115+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.ixZkd17eEQ true
% Computer : n009.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 0.20s 0.74s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 22 ( 11 unt; 6 typ; 0 def)
% Number of atoms : 21 ( 9 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 43 ( 9 ~; 3 |; 0 &; 29 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(empty_set_type,type,
empty_set: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(finite_type,type,
finite: $i > $o ).
thf(finite_subsets_type,type,
finite_subsets: $i > $i ).
thf(cc1_finset_1,axiom,
! [A: $i] :
( ( empty @ A )
=> ( finite @ A ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( finite @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc1_finset_1]) ).
thf(t27_finsub_1,axiom,
! [A: $i] :
( ( finite @ A )
=> ( ( finite_subsets @ A )
= ( powerset @ A ) ) ) ).
thf(zip_derived_cl62,plain,
! [X0: $i] :
( ( ( finite_subsets @ X0 )
= ( powerset @ X0 ) )
| ~ ( finite @ X0 ) ),
inference(cnf,[status(esa)],[t27_finsub_1]) ).
thf(t28_finsub_1,conjecture,
( ( finite_subsets @ empty_set )
= ( singleton @ empty_set ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( finite_subsets @ empty_set )
!= ( singleton @ empty_set ) ),
inference('cnf.neg',[status(esa)],[t28_finsub_1]) ).
thf(zip_derived_cl61,plain,
( ( finite_subsets @ empty_set )
!= ( singleton @ empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t1_zfmisc_1,axiom,
( ( powerset @ empty_set )
= ( singleton @ empty_set ) ) ).
thf(zip_derived_cl63,plain,
( ( powerset @ empty_set )
= ( singleton @ empty_set ) ),
inference(cnf,[status(esa)],[t1_zfmisc_1]) ).
thf(zip_derived_cl277,plain,
( ( finite_subsets @ empty_set )
!= ( powerset @ empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl63]) ).
thf(zip_derived_cl293,plain,
( ~ ( finite @ empty_set )
| ( ( powerset @ empty_set )
!= ( powerset @ empty_set ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl277]) ).
thf(zip_derived_cl295,plain,
~ ( finite @ empty_set ),
inference(simplify,[status(thm)],[zip_derived_cl293]) ).
thf(zip_derived_cl296,plain,
~ ( empty @ empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl295]) ).
thf(fc1_xboole_0,axiom,
empty @ empty_set ).
thf(zip_derived_cl57,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
thf(zip_derived_cl297,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU115+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.ixZkd17eEQ true
% 0.13/0.34 % Computer : n009.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 15:33:51 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
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % Solved by fo/fo6_bce.sh.
% 0.20/0.74 % BCE start: 64
% 0.20/0.74 % BCE eliminated: 8
% 0.20/0.74 % PE start: 56
% 0.20/0.74 logic: eq
% 0.20/0.74 % PE eliminated: 15
% 0.20/0.74 % done 34 iterations in 0.015s
% 0.20/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.74 % SZS output start Refutation
% See solution above
% 0.20/0.74
% 0.20/0.74
% 0.20/0.74 % Terminating...
% 0.58/0.85 % Runner terminated.
% 0.58/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------