TSTP Solution File: SET637+3 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET637+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 : 600s
% DateTime : Tue Jul 19 05:11:11 EDT 2022
% Result : Theorem 0.18s 0.56s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 23 ( 7 unt; 8 nHn; 17 RR)
% Number of literals : 42 ( 6 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
cnf(2,axiom,
( member(X,intersection(Y,Z))
| ~ member(X,Y)
| ~ member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
cnf(3,axiom,
( ~ intersect(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersect_defn) ).
cnf(4,axiom,
( ~ intersect(X,Y)
| member('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersect_defn) ).
cnf(5,axiom,
( intersect(X,Y)
| ~ member(Z,X)
| ~ member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersect_defn) ).
cnf(6,axiom,
~ member(X,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set_defn) ).
cnf(9,axiom,
( X = Y
| member('SKOLEMAAAV2'(X,Y),X)
| member('SKOLEMAAAV2'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(10,axiom,
( ~ not_equal(X,Y)
| X != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_defn) ).
cnf(11,axiom,
( not_equal(X,Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_defn) ).
cnf(12,axiom,
( ~ empty(X)
| ~ member(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_defn) ).
cnf(13,axiom,
( empty(X)
| member('SKOLEMAAAV3'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_defn) ).
cnf(14,negated_conjecture,
( ~ intersect('SKOLEMAAAV4','SKOLEMAAAV5')
| ~ not_equal(intersection('SKOLEMAAAV4','SKOLEMAAAV5'),empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th119) ).
cnf(15,negated_conjecture,
( intersect('SKOLEMAAAV4','SKOLEMAAAV5')
| not_equal(intersection('SKOLEMAAAV4','SKOLEMAAAV5'),empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th119) ).
cnf(16,plain,
~ not_equal(X,X),
inference('UR-RESOLVE',[status(thm)],[10,theory(equality)]) ).
cnf(19,plain,
( empty(intersection(X,Y))
| member('SKOLEMAAAV3'(intersection(X,Y)),X) ),
inference('HYPERRESOLVE',[status(thm)],[1,13]) ).
cnf(23,plain,
( empty_set = X
| member('SKOLEMAAAV2'(empty_set,X),X) ),
inference('HYPERRESOLVE',[status(thm)],[6,9]) ).
cnf(67,plain,
( empty(intersection(X,Y))
| intersect(X,Y) ),
inference('HYPERRESOLVE',[status(thm)],[5,19,19]) ).
cnf(75,plain,
( empty(intersection('SKOLEMAAAV4','SKOLEMAAAV5'))
| intersection('SKOLEMAAAV4','SKOLEMAAAV5') = empty_set ),
inference('HYPERRESOLVE',[status(thm)],[14,67,11]) ).
cnf(101,plain,
intersection('SKOLEMAAAV4','SKOLEMAAAV5') = empty_set,
inference('HYPERRESOLVE',[status(thm)],[12,75,23]) ).
cnf(102,plain,
intersect('SKOLEMAAAV4','SKOLEMAAAV5'),
inference('REWRITE',[status(thm)],[15,16,101,theory(equality)]) ).
cnf(103,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV4','SKOLEMAAAV5'),'SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[4,102]) ).
cnf(105,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV4','SKOLEMAAAV5'),'SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[3,102]) ).
cnf(145,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,105,103]),6,101,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET637+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 23:47:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T23:47:47
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-10T23:47:47
% 0.18/0.48
% 0.18/0.48 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.18/0.48 ; Recognized commutativity assertion (OR (NOT (|intersect| ?X ?Y)) (|intersect| ?Y ?X)).
% 0.18/0.48 ; Declaring intersection to be commutative.
% 0.18/0.56 ; Declaring intersect to be commutative.
% 0.18/0.56
% 0.18/0.56 #||
% 0.18/0.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.56 % SZS output start Refutation
% See solution above
% 0.18/0.56 ||#
% 0.18/0.56
% 0.18/0.56 ; Summary of computation:
% 0.18/0.56 ; 656 formulas have been input or derived (from 61 formulas).
% 0.18/0.56 ; 145 (22%) were retained. Of these,
% 0.18/0.56 ; 6 ( 4%) were simplified or subsumed later,
% 0.18/0.56 ; 139 (96%) are still being kept.
% 0.18/0.56 ;
% 0.18/0.56 ; Run time in seconds excluding printing time:
% 0.18/0.56 ; 0.002 2% Read assertion file (1 call)
% 0.18/0.56 ; 0.002 2% Assert (9 calls)
% 0.18/0.56 ; 0.009 10% Process new row (509 calls)
% 0.18/0.56 ; 0.016 17% Resolution (120 calls)
% 0.18/0.56 ; 0.000 0% Paramodulation (60 calls)
% 0.18/0.56 ; 0.000 0% Factoring (30 calls)
% 0.18/0.56 ; 0.006 7% Condensing (276 calls)
% 0.18/0.56 ; 0.009 10% Forward subsumption (276 calls)
% 0.18/0.56 ; 0.001 1% Backward subsumption (92 calls)
% 0.18/0.56 ; 0.005 5% Clause clause subsumption (785 calls)
% 0.18/0.56 ; 0.010 11% Forward simplification (499 calls)
% 0.18/0.56 ; 0.001 1% Backward simplification (145 calls)
% 0.18/0.56 ; 0.001 1% Ordering (485 calls)
% 0.18/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.56 ; 0.000 0% Purity testing (1 call)
% 0.18/0.56 ; 0.030 33% Other
% 0.18/0.56 ; 0.092 Total
% 0.18/0.56 ; 0.095 Real time
% 0.18/0.56 ;
% 0.18/0.56 ; Term-hash-array has 186 terms in all.
% 0.18/0.56 ; Feature-vector-row-index has 89 entries (92 at peak, 92 added, 3 deleted).
% 0.18/0.56 ; Feature-vector-row-index has 136 nodes (169 at peak, 169 added, 33 deleted).
% 0.18/0.56 ; Retrieved 953 possibly forward subsuming rows in 276 calls.
% 0.18/0.56 ; Retrieved 115 possibly backward subsumed rows in 92 calls.
% 0.18/0.56 ; Path-index has 183 entries (183 at peak, 190 added, 7 deleted).
% 0.18/0.56 ; Path-index has 169 nodes (169 at peak, 180 added, 11 deleted).
% 0.18/0.56 ; Trie-index has 183 entries (183 at peak, 190 added, 7 deleted).
% 0.18/0.56 ; Trie-index has 496 nodes (496 at peak, 512 added, 16 deleted).
% 0.18/0.56 ; Retrieved 349 generalization terms in 1,118 calls.
% 0.18/0.56 ; Retrieved 59 instance terms in 52 calls.
% 0.18/0.56 ; Retrieved 3,255 unifiable terms in 590 calls.
% 0.18/0.56 ;
% 0.18/0.56 ; The agenda of rows to process has 7 entries:
% 0.18/0.56 ; 7 with value 11
% 0.18/0.56 ; The agenda of rows to give has 82 entries:
% 0.18/0.56 ; 1 with value (4 8) 3 with value (4 16) 4 with value (4 23)
% 0.18/0.56 ; 2 with value (4 9) 1 with value (4 17) 1 with value (4 24)
% 0.18/0.56 ; 8 with value (4 10) 7 with value (4 18) 1 with value (4 25)
% 0.18/0.56 ; 5 with value (4 11) 11 with value (4 19) 2 with value (4 26)
% 0.18/0.56 ; 6 with value (4 12) 6 with value (4 20) 2 with value (4 27)
% 0.18/0.56 ; 2 with value (4 13) 9 with value (4 21) 2 with value (4 28)
% 0.18/0.56 ; 6 with value (4 14) 2 with value (4 22) 1 with value (4 32)
% 0.18/0.56 Evaluation took:
% 0.18/0.56 0.095 seconds of real time
% 0.18/0.56 0.078034 seconds of user run time
% 0.18/0.56 0.016949 seconds of system run time
% 0.18/0.56 0 calls to %EVAL
% 0.18/0.56 0 page faults and
% 0.18/0.56 5,708,144 bytes consed.
% 0.18/0.56 :PROOF-FOUND
% 0.18/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T23:47:47
% 0.18/0.56 :PROOF-FOUND
% 0.18/0.56 *
%------------------------------------------------------------------------------