TSTP Solution File: SET635+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET635+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.B4Se2vRJdj 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 16:15:13 EDT 2023
% Result : Theorem 0.14s 0.71s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 38 ( 25 unt; 8 typ; 0 def)
% Number of atoms : 35 ( 27 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 211 ( 10 ~; 4 |; 0 &; 196 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 56 ( 0 ^; 56 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__5_type,type,
sk__5: $i ).
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(union_type,type,
union: $i > $i > $i ).
thf(difference_empty_set,axiom,
! [B: $i,C: $i] :
( ( ( difference @ B @ C )
= empty_set )
<=> ( subset @ B @ C ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( ( difference @ X0 @ X1 )
= empty_set )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[difference_empty_set]) ).
thf(difference_and_intersection_and_union,axiom,
! [B: $i,C: $i,D: $i] :
( ( difference @ B @ ( intersection @ C @ D ) )
= ( union @ ( difference @ B @ C ) @ ( difference @ B @ D ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( difference @ X0 @ ( intersection @ X1 @ X2 ) )
= ( union @ ( difference @ X0 @ X1 ) @ ( difference @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[difference_and_intersection_and_union]) ).
thf(zip_derived_cl150,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( difference @ X1 @ ( intersection @ X2 @ X0 ) )
= ( union @ empty_set @ ( difference @ X1 @ X0 ) ) )
| ~ ( subset @ X1 @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).
thf(commutativity_of_union,axiom,
! [B: $i,C: $i] :
( ( union @ B @ C )
= ( union @ C @ B ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(union_empty_set,axiom,
! [B: $i] :
( ( union @ B @ empty_set )
= B ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( union @ X0 @ empty_set )
= X0 ),
inference(cnf,[status(esa)],[union_empty_set]) ).
thf(zip_derived_cl117,plain,
! [X0: $i] :
( ( union @ empty_set @ X0 )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl3]) ).
thf(zip_derived_cl154,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( difference @ X1 @ ( intersection @ X2 @ X0 ) )
= ( difference @ X1 @ X0 ) )
| ~ ( subset @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl117]) ).
thf(prove_th117,conjecture,
! [B: $i,C: $i,D: $i] :
( ( intersection @ B @ ( difference @ C @ D ) )
= ( difference @ ( intersection @ B @ C ) @ ( intersection @ B @ D ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i,D: $i] :
( ( intersection @ B @ ( difference @ C @ D ) )
= ( difference @ ( intersection @ B @ C ) @ ( intersection @ B @ D ) ) ),
inference('cnf.neg',[status(esa)],[prove_th117]) ).
thf(zip_derived_cl28,plain,
( ( intersection @ sk__3 @ ( difference @ sk__4 @ sk__5 ) )
!= ( difference @ ( intersection @ sk__3 @ sk__4 ) @ ( intersection @ sk__3 @ sk__5 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(difference_and_intersection,axiom,
! [B: $i,C: $i,D: $i] :
( ( intersection @ B @ ( difference @ C @ D ) )
= ( difference @ ( intersection @ B @ C ) @ D ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersection @ X0 @ ( difference @ X1 @ X2 ) )
= ( difference @ ( intersection @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[difference_and_intersection]) ).
thf(zip_derived_cl138,plain,
( ( intersection @ sk__3 @ ( difference @ sk__4 @ sk__5 ) )
!= ( intersection @ sk__3 @ ( difference @ sk__4 @ ( intersection @ sk__3 @ sk__5 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl5]) ).
thf(commutativity_of_intersection,axiom,
! [B: $i,C: $i] :
( ( intersection @ B @ C )
= ( intersection @ C @ B ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
thf(zip_derived_cl5_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersection @ X0 @ ( difference @ X1 @ X2 ) )
= ( difference @ ( intersection @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[difference_and_intersection]) ).
thf(zip_derived_cl142,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersection @ X0 @ ( difference @ X1 @ X2 ) )
= ( difference @ ( intersection @ X1 @ X0 ) @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl5]) ).
thf(zip_derived_cl5_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersection @ X0 @ ( difference @ X1 @ X2 ) )
= ( difference @ ( intersection @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[difference_and_intersection]) ).
thf(zip_derived_cl161,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersection @ X1 @ ( difference @ X2 @ X0 ) )
= ( intersection @ X2 @ ( difference @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl142,zip_derived_cl5]) ).
thf(zip_derived_cl161_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersection @ X1 @ ( difference @ X2 @ X0 ) )
= ( intersection @ X2 @ ( difference @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl142,zip_derived_cl5]) ).
thf(zip_derived_cl302,plain,
( ( intersection @ sk__4 @ ( difference @ sk__3 @ sk__5 ) )
!= ( intersection @ sk__4 @ ( difference @ sk__3 @ ( intersection @ sk__3 @ sk__5 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl138,zip_derived_cl161,zip_derived_cl161]) ).
thf(zip_derived_cl1002,plain,
( ( ( intersection @ sk__4 @ ( difference @ sk__3 @ sk__5 ) )
!= ( intersection @ sk__4 @ ( difference @ sk__3 @ sk__5 ) ) )
| ~ ( subset @ sk__3 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl302]) ).
thf(reflexivity_of_subset,axiom,
! [B: $i] : ( subset @ B @ B ) ).
thf(zip_derived_cl21,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_of_subset]) ).
thf(zip_derived_cl1029,plain,
( ( intersection @ sk__4 @ ( difference @ sk__3 @ sk__5 ) )
!= ( intersection @ sk__4 @ ( difference @ sk__3 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1002,zip_derived_cl21]) ).
thf(zip_derived_cl1030,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1029]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET635+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.B4Se2vRJdj true
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sat Aug 26 12:29:13 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % Running portfolio for 300 s
% 0.09/0.29 % File : /export/starexec/sandbox/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
% 0.14/0.47 % Total configuration time : 435
% 0.14/0.47 % Estimated wc time : 1092
% 0.14/0.47 % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.53 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.53 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.14/0.53 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.14/0.54 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.14/0.54 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.14/0.54 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.14/0.54 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.14/0.71 % Solved by fo/fo3_bce.sh.
% 0.14/0.71 % BCE start: 29
% 0.14/0.71 % BCE eliminated: 0
% 0.14/0.71 % PE start: 29
% 0.14/0.71 logic: eq
% 0.14/0.71 % PE eliminated: 1
% 0.14/0.71 % done 181 iterations in 0.152s
% 0.14/0.71 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.14/0.71 % SZS output start Refutation
% See solution above
% 0.14/0.71
% 0.14/0.71
% 0.14/0.71 % Terminating...
% 1.99/0.83 % Runner terminated.
% 1.99/0.84 % Zipperpin 1.5 exiting
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