TSTP Solution File: SET619+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET619+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 05:10:58 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 2 RR)
% Number of literals : 10 ( 9 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
symmetric_difference(X,Y) = union(difference(X,Y),difference(Y,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_difference_defn) ).
cnf(2,plain,
union(difference(X,Y),union(difference(Y,X),Z)) = union(symmetric_difference(X,Y),Z),
inference('EMBED',[status(thm)],[1]) ).
cnf(3,axiom,
union(X,intersection(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_intersection) ).
cnf(4,plain,
union(X,union(intersection(X,Y),Z)) = union(X,Z),
inference('EMBED',[status(thm)],[3]) ).
cnf(5,axiom,
union(intersection(X,Y),difference(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_intersection_difference) ).
cnf(6,plain,
union(intersection(X,Y),union(difference(X,Y),Z)) = union(X,Z),
inference('EMBED',[status(thm)],[5]) ).
cnf(20,negated_conjecture,
union('SKOLEMAAAV3','SKOLEMAAAV4') != union(symmetric_difference('SKOLEMAAAV3','SKOLEMAAAV4'),intersection('SKOLEMAAAV3','SKOLEMAAAV4')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th95) ).
cnf(31,plain,
union(X,Y) = union(Y,difference(X,Y)),
inference('PARAMODULATE',[status(thm)],[4,6,theory(equality)]) ).
cnf(38,plain,
union(symmetric_difference(X,Y),intersection(X,Y)) = union(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6,2,theory(equality)]),31,theory(equality)]) ).
cnf(40,plain,
$false,
inference('REWRITE',[status(thm)],[20,38,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET619+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.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 20:55:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 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 2022-07-10T20:55:43
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-10T20:55:43
% 0.18/0.48
% 0.18/0.48 ; Recognized associativity assertion (= (|union| (|union| ?X ?Y) ?Z) (|union| ?X (|union| ?Y ?Z))).
% 0.18/0.48 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.18/0.48 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.18/0.48 ; Recognized commutativity assertion (= (|symmetric_difference| ?X ?Y) (|symmetric_difference| ?Y ?X)).
% 0.18/0.48 ; Declaring symmetric_difference to be commutative.
% 0.18/0.48 ; Declaring union to be commutative.
% 0.18/0.48 ; Declaring union to be associative-commutative.
% 0.18/0.51 ; Declaring intersection to be commutative.
% 0.18/0.51
% 0.18/0.51 #||
% 0.18/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation
% See solution above
% 0.18/0.51 ||#
% 0.18/0.51
% 0.18/0.51 ; Summary of computation:
% 0.18/0.51 ; 122 formulas have been input or derived (from 16 formulas).
% 0.18/0.51 ; 40 (33%) were retained. Of these,
% 0.18/0.51 ; 1 ( 2%) were simplified or subsumed later,
% 0.18/0.51 ; 39 (98%) are still being kept.
% 0.18/0.51 ;
% 0.18/0.51 ; Run time in seconds excluding printing time:
% 0.18/0.51 ; 0.003 7% Read assertion file (1 call)
% 0.18/0.51 ; 0.002 5% Assert (14 calls)
% 0.18/0.51 ; 0.005 12% Process new row (100 calls)
% 0.18/0.51 ; 0.001 2% Resolution (30 calls)
% 0.18/0.51 ; 0.002 5% Paramodulation (15 calls)
% 0.18/0.51 ; 0.000 0% Factoring (1 call)
% 0.18/0.51 ; 0.001 2% Embedding (12 calls)
% 0.18/0.51 ; 0.000 0% Condensing (17 calls)
% 0.18/0.51 ; 0.000 0% Forward subsumption (17 calls)
% 0.18/0.51 ; 0.000 0% Backward subsumption (13 calls)
% 0.18/0.51 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.18/0.51 ; 0.004 10% Forward simplification (88 calls)
% 0.18/0.51 ; 0.001 2% Backward simplification (28 calls)
% 0.18/0.51 ; 0.000 0% Ordering (81 calls)
% 0.18/0.51 ; 0.003 7% Ordering ac (41 calls)
% 0.18/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.51 ; 0.000 0% Purity testing (1 call)
% 0.18/0.51 ; 0.020 48% Other
% 0.18/0.51 ; 0.042 Total
% 0.18/0.51 ; 0.045 Real time
% 0.18/0.51 ;
% 0.18/0.51 ; Term-hash-array has 105 terms in all.
% 0.18/0.51 ; Feature-vector-row-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.18/0.51 ; Feature-vector-row-index has 33 nodes (33 at peak, 33 added, 0 deleted).
% 0.18/0.51 ; Retrieved 4 possibly forward subsuming rows in 17 calls.
% 0.18/0.51 ; Retrieved 0 possibly backward subsumed rows in 13 calls.
% 0.18/0.51 ; Path-index has 102 entries (105 at peak, 109 added, 7 deleted).
% 0.18/0.51 ; Path-index has 126 nodes (142 at peak, 144 added, 18 deleted).
% 0.18/0.51 ; Trie-index has 102 entries (105 at peak, 109 added, 7 deleted).
% 0.18/0.51 ; Trie-index has 58 nodes (62 at peak, 64 added, 6 deleted).
% 0.18/0.51 ; Retrieved 897 generalization terms in 221 calls.
% 0.18/0.51 ; Retrieved 29 instance terms in 14 calls.
% 0.18/0.51 ; Retrieved 721 unifiable terms in 117 calls.
% 0.18/0.51 ;
% 0.18/0.51 ; The agenda of rows to process has 17 entries:
% 0.18/0.51 ; 8 with value 19 1 with value 25 2 with value 29
% 0.18/0.51 ; 2 with value 22 2 with value 27 1 with value 33
% 0.18/0.51 ; 1 with value 23
% 0.18/0.51 ; The agenda of input rows to give has 4 entries:
% 0.18/0.51 ; 2 with value 15 2 with value 18
% 0.18/0.51 ; The agenda of rows to give has 19 entries:
% 0.18/0.51 ; 4 with value (4 13) 1 with value (4 19) 2 with value (4 24)
% 0.18/0.51 ; 4 with value (4 14) 4 with value (4 21) 2 with value (4 30)
% 0.18/0.51 ; 2 with value (4 15)
% 0.18/0.51 Evaluation took:
% 0.18/0.51 0.045 seconds of real time
% 0.18/0.51 0.037906 seconds of user run time
% 0.18/0.51 0.006962 seconds of system run time
% 0.18/0.51 0 calls to %EVAL
% 0.18/0.51 0 page faults and
% 0.18/0.51 2,673,208 bytes consed.
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T20:55:43
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 *
%------------------------------------------------------------------------------