TSTP Solution File: SET618+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET618+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9BOdEA1YhN true
% Computer : n013.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 16:15:04 EDT 2023
% Result : Theorem 0.22s 0.76s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 13 unt; 5 typ; 0 def)
% Number of atoms : 13 ( 12 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 39 ( 3 ~; 0 |; 0 &; 36 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(union_type,type,
union: $i > $i > $i ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(symmetric_difference_type,type,
symmetric_difference: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(prove_th93,conjecture,
! [B: $i] :
( ( symmetric_difference @ B @ B )
= empty_set ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( symmetric_difference @ B @ B )
= empty_set ),
inference('cnf.neg',[status(esa)],[prove_th93]) ).
thf(zip_derived_cl19,plain,
( ( symmetric_difference @ sk__3 @ sk__3 )
!= empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(idempotency_of_union,axiom,
! [B: $i] :
( ( union @ B @ B )
= B ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( union @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[idempotency_of_union]) ).
thf(symmetric_difference_defn,axiom,
! [B: $i,C: $i] :
( ( symmetric_difference @ B @ C )
= ( union @ ( difference @ B @ C ) @ ( difference @ C @ B ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( symmetric_difference @ X0 @ X1 )
= ( union @ ( difference @ X0 @ X1 ) @ ( difference @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[symmetric_difference_defn]) ).
thf(zip_derived_cl91,plain,
! [X0: $i] :
( ( symmetric_difference @ X0 @ X0 )
= ( difference @ X0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(self_difference_is_empty_set,axiom,
! [B: $i] :
( ( difference @ B @ B )
= empty_set ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( difference @ X0 @ X0 )
= empty_set ),
inference(cnf,[status(esa)],[self_difference_is_empty_set]) ).
thf(zip_derived_cl92,plain,
! [X0: $i] :
( ( symmetric_difference @ X0 @ X0 )
= empty_set ),
inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl2]) ).
thf(zip_derived_cl97,plain,
empty_set != empty_set,
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl92]) ).
thf(zip_derived_cl98,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET618+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9BOdEA1YhN true
% 0.18/0.36 % Computer : n013.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Sat Aug 26 11:02:32 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.18/0.36 % Running portfolio for 300 s
% 0.18/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36 % Number of cores: 8
% 0.18/0.36 % Python version: Python 3.6.8
% 0.18/0.37 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % Solved by fo/fo3_bce.sh.
% 0.22/0.76 % BCE start: 20
% 0.22/0.76 % BCE eliminated: 0
% 0.22/0.76 % PE start: 20
% 0.22/0.76 logic: eq
% 0.22/0.76 % PE eliminated: 1
% 0.22/0.76 % done 12 iterations in 0.009s
% 0.22/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.76 % SZS output start Refutation
% See solution above
% 0.22/0.76
% 0.22/0.76
% 0.22/0.76 % Terminating...
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.46/0.86 % Runner terminated.
% 1.46/0.88 % Zipperpin 1.5 exiting
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