TSTP Solution File: SET601+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET601+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 05:10:44 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 3 RR)
% Number of literals : 9 ( 8 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
intersection(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotency_of_intersection) ).
cnf(3,axiom,
union(X,intersection(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_intersection) ).
cnf(5,axiom,
union(X,intersection(Y,Z)) = intersection(union(X,Y),union(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_distributes_over_intersection) ).
cnf(20,negated_conjecture,
union(intersection('SKOLEMAAAV3','SKOLEMAAAV4'),union(intersection('SKOLEMAAAV4','SKOLEMAAAV5'),intersection('SKOLEMAAAV5','SKOLEMAAAV3'))) != intersection(union('SKOLEMAAAV3','SKOLEMAAAV4'),intersection(union('SKOLEMAAAV4','SKOLEMAAAV5'),union('SKOLEMAAAV5','SKOLEMAAAV3'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th72) ).
cnf(21,plain,
intersection(union('SKOLEMAAAV3',union('SKOLEMAAAV5','SKOLEMAAAV3')),intersection(union('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV4')),intersection(union('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV3')),intersection(union('SKOLEMAAAV5',union('SKOLEMAAAV5','SKOLEMAAAV4')),intersection(union('SKOLEMAAAV5',union('SKOLEMAAAV5','SKOLEMAAAV3')),intersection(union('SKOLEMAAAV5',union('SKOLEMAAAV4','SKOLEMAAAV4')),union('SKOLEMAAAV5',union('SKOLEMAAAV4','SKOLEMAAAV3')))))))) != intersection(union('SKOLEMAAAV3','SKOLEMAAAV4'),intersection(union('SKOLEMAAAV4','SKOLEMAAAV5'),union('SKOLEMAAAV5','SKOLEMAAAV3'))),
inference('REWRITE',[status(thm)],[20,1,5,theory(equality)]) ).
cnf(22,plain,
intersection(union(X,X),union(X,Y)) = X,
inference('REWRITE',[status(thm)],[3,5,theory(equality)]) ).
cnf(25,plain,
X = union(X,X),
inference('PARAMODULATE',[status(thm)],[1,22,theory(equality)]) ).
cnf(27,plain,
intersection(X,union(X,Y)) = X,
inference('REWRITE',[status(thm)],[22,25,theory(equality)]) ).
cnf(29,plain,
$false,
inference('REWRITE',[status(thm)],[21,1,27,25,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET601+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 22:19:30 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 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T22:19:30
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-10T22:19:30
% 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 associativity assertion (= (|intersection| (|intersection| ?X ?Y) ?Z) (|intersection| ?X (|intersection| ?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 ; Declaring union to be commutative.
% 0.18/0.48 ; Declaring union to be associative-commutative.
% 0.18/0.48 ; Declaring intersection to be commutative.
% 0.18/0.52 ; Declaring intersection to be associative-commutative.
% 0.18/0.52
% 0.18/0.52 #||
% 0.18/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.52 % SZS output start Refutation
% See solution above
% 0.18/0.52 ||#
% 0.18/0.52
% 0.18/0.52 ; Summary of computation:
% 0.18/0.52 ; 149 formulas have been input or derived (from 13 formulas).
% 0.18/0.52 ; 29 (19%) were retained. Of these,
% 0.18/0.52 ; 6 (21%) were simplified or subsumed later,
% 0.18/0.52 ; 23 (79%) are still being kept.
% 0.18/0.52 ;
% 0.18/0.52 ; Run time in seconds excluding printing time:
% 0.18/0.52 ; 0.003 6% Read assertion file (1 call)
% 0.18/0.52 ; 0.002 4% Assert (14 calls)
% 0.18/0.52 ; 0.001 2% Process new row (80 calls)
% 0.18/0.52 ; 0.002 4% Resolution (24 calls)
% 0.18/0.52 ; 0.004 8% Paramodulation (12 calls)
% 0.18/0.52 ; 0.000 0% Factoring (1 call)
% 0.18/0.52 ; 0.001 2% Embedding (6 calls)
% 0.18/0.52 ; 0.006 12% Condensing (37 calls)
% 0.18/0.52 ; 0.002 4% Forward subsumption (37 calls)
% 0.18/0.52 ; 0.001 2% Backward subsumption (13 calls)
% 0.18/0.52 ; 0.001 2% Clause clause subsumption (24 calls)
% 0.18/0.52 ; 0.002 4% Forward simplification (74 calls)
% 0.18/0.52 ; 0.002 4% Backward simplification (22 calls)
% 0.18/0.52 ; 0.000 0% Ordering (40 calls)
% 0.18/0.52 ; 0.000 0% Ordering ac (11 calls)
% 0.18/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.52 ; 0.000 0% Purity testing (1 call)
% 0.18/0.52 ; 0.023 46% Other
% 0.18/0.52 ; 0.050 Total
% 0.18/0.52 ; 0.051 Real time
% 0.18/0.52 ;
% 0.18/0.52 ; Term-hash-array has 63 terms in all.
% 0.18/0.52 ; Feature-vector-row-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.18/0.52 ; Feature-vector-row-index has 28 nodes (28 at peak, 28 added, 0 deleted).
% 0.18/0.52 ; Retrieved 28 possibly forward subsuming rows in 37 calls.
% 0.18/0.52 ; Retrieved 1 possibly backward subsumed row in 13 calls.
% 0.18/0.52 ; Path-index has 45 entries (56 at peak, 70 added, 25 deleted).
% 0.18/0.52 ; Path-index has 60 nodes (69 at peak, 72 added, 12 deleted).
% 0.18/0.52 ; Trie-index has 45 entries (56 at peak, 70 added, 25 deleted).
% 0.18/0.52 ; Trie-index has 38 nodes (38 at peak, 43 added, 5 deleted).
% 0.18/0.52 ; Retrieved 251 generalization terms in 163 calls.
% 0.18/0.52 ; Retrieved 29 instance terms in 8 calls.
% 0.18/0.52 ; Retrieved 408 unifiable terms in 78 calls.
% 0.18/0.52 ;
% 0.18/0.52 ; The agenda of rows to process has 66 entries:
% 0.18/0.52 ; 3 with value 10 4 with value 22 3 with value 36
% 0.18/0.52 ; 5 with value 12 5 with value 24 3 with value 38
% 0.18/0.52 ; 4 with value 13 5 with value 26 1 with value 40
% 0.18/0.52 ; 2 with value 14 4 with value 28 2 with value 42
% 0.18/0.52 ; 3 with value 16 5 with value 30 1 with value 44
% 0.18/0.52 ; 4 with value 18 4 with value 32 1 with value 48
% 0.18/0.52 ; 4 with value 20 3 with value 34
% 0.18/0.52 ; The agenda of input rows to give has 8 entries:
% 0.18/0.52 ; 2 with value 10 2 with value 16 2 with value 18
% 0.18/0.52 ; 2 with value 15
% 0.18/0.52 ; The agenda of rows to give has 3 entries:
% 0.18/0.52 ; 2 with value (4 8) 1 with value (4 19)
% 0.18/0.52 Evaluation took:
% 0.18/0.52 0.052 seconds of real time
% 0.18/0.52 0.044499 seconds of user run time
% 0.18/0.52 0.007436 seconds of system run time
% 0.18/0.52 0 calls to %EVAL
% 0.18/0.52 0 page faults and
% 0.18/0.52 3,860,720 bytes consed.
% 0.18/0.52 :PROOF-FOUND
% 0.18/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T22:19:30
% 0.18/0.52 :PROOF-FOUND
% 0.18/0.52 *
%------------------------------------------------------------------------------