TSTP Solution File: SET581+3 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET581+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 05:10:31 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 8 ( 6 unt; 1 nHn; 7 RR)
% Number of literals : 11 ( 2 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( member(X,intersection(Y,Z))
| ~ member(X,Y)
| ~ member(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
cnf(3,axiom,
~ member(X,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_defn) ).
cnf(8,axiom,
( not_equal(X,Y)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_defn) ).
cnf(11,negated_conjecture,
member('SKOLEMAAAW3','SKOLEMAAAW4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th24) ).
cnf(12,negated_conjecture,
member('SKOLEMAAAW3','SKOLEMAAAW5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th24) ).
cnf(13,negated_conjecture,
~ not_equal(intersection('SKOLEMAAAW4','SKOLEMAAAW5'),empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th24) ).
cnf(17,plain,
intersection('SKOLEMAAAW4','SKOLEMAAAW5') = empty_set,
inference('HYPERRESOLVE',[status(thm)],[13,8]) ).
cnf(23,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,12,11]),3,17,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET581+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jul 9 17:14:38 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T17:14:38
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-09T17:14:38
% 0.21/0.50
% 0.21/0.50 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.21/0.52 ; Declaring intersection to be commutative.
% 0.21/0.52
% 0.21/0.52 #||
% 0.21/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.52 % SZS output start Refutation
% See solution above
% 0.21/0.52 ||#
% 0.21/0.52
% 0.21/0.52 ; Summary of computation:
% 0.21/0.52 ; 44 formulas have been input or derived (from 12 formulas).
% 0.21/0.52 ; 23 (52%) were retained. Of these,
% 0.21/0.52 ; 1 ( 4%) were simplified or subsumed later,
% 0.21/0.52 ; 22 (96%) are still being kept.
% 0.21/0.52 ;
% 0.21/0.52 ; Run time in seconds excluding printing time:
% 0.21/0.52 ; 0.002 7% Read assertion file (1 call)
% 0.21/0.52 ; 0.001 3% Assert (7 calls)
% 0.21/0.52 ; 0.000 0% Process new row (34 calls)
% 0.21/0.52 ; 0.002 7% Resolution (22 calls)
% 0.21/0.52 ; 0.000 0% Paramodulation (11 calls)
% 0.21/0.52 ; 0.000 0% Factoring (2 calls)
% 0.21/0.52 ; 0.000 0% Condensing (13 calls)
% 0.21/0.52 ; 0.002 7% Forward subsumption (13 calls)
% 0.21/0.52 ; 0.000 0% Backward subsumption (10 calls)
% 0.21/0.52 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.21/0.52 ; 0.000 0% Forward simplification (34 calls)
% 0.21/0.52 ; 0.001 3% Backward simplification (23 calls)
% 0.21/0.52 ; 0.000 0% Ordering (11 calls)
% 0.21/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.52 ; 0.000 0% Purity testing (1 call)
% 0.21/0.52 ; 0.022 73% Other
% 0.21/0.52 ; 0.030 Total
% 0.21/0.52 ; 0.032 Real time
% 0.21/0.52 ;
% 0.21/0.52 ; Term-hash-array has 33 terms in all.
% 0.21/0.52 ; Feature-vector-row-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 0.21/0.52 ; Feature-vector-row-index has 27 nodes (27 at peak, 27 added, 0 deleted).
% 0.21/0.52 ; Retrieved 4 possibly forward subsuming rows in 13 calls.
% 0.21/0.52 ; Retrieved 0 possibly backward subsumed rows in 10 calls.
% 0.21/0.52 ; Path-index has 36 entries (36 at peak, 37 added, 1 deleted).
% 0.21/0.52 ; Path-index has 61 nodes (61 at peak, 64 added, 3 deleted).
% 0.21/0.52 ; Trie-index has 36 entries (36 at peak, 37 added, 1 deleted).
% 0.21/0.52 ; Trie-index has 65 nodes (65 at peak, 69 added, 4 deleted).
% 0.21/0.52 ; Retrieved 8 generalization terms in 32 calls.
% 0.21/0.52 ; Retrieved 14 instance terms in 12 calls.
% 0.21/0.52 ; Retrieved 213 unifiable terms in 59 calls.
% 0.21/0.52 ;
% 0.21/0.52 ; The agenda of rows to process has 7 entries:
% 0.21/0.52 ; 6 with value 8 1 with value 12
% 0.21/0.52 ; The agenda of input rows to give has 2 entries:
% 0.21/0.52 ; 2 with value 18
% 0.21/0.52 ; The agenda of rows to give has 9 entries:
% 0.21/0.52 ; 3 with value (4 4) 2 with value (4 8) 1 with value (4 16)
% 0.21/0.52 ; 3 with value (4 5)
% 0.21/0.52 Evaluation took:
% 0.21/0.52 0.032 seconds of real time
% 0.21/0.52 0.023597 seconds of user run time
% 0.21/0.52 0.008323 seconds of system run time
% 0.21/0.52 0 calls to %EVAL
% 0.21/0.52 0 page faults and
% 0.21/0.52 1,792,944 bytes consed.
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T17:14:38
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 *
%------------------------------------------------------------------------------