TSTP Solution File: SET008+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET008+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 05:05:35 EDT 2022
% Result : Theorem 0.37s 0.55s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 5 unt; 4 nHn; 6 RR)
% Number of literals : 20 ( 4 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
cnf(4,axiom,
( ~ member(X,difference(Y,Z))
| ~ member(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
cnf(6,axiom,
~ member(X,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_defn) ).
cnf(13,axiom,
( ~ empty(X)
| ~ member(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_defn) ).
cnf(14,axiom,
( empty(X)
| member('SKOLEMAAAV2'(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_defn) ).
cnf(17,axiom,
( X = Y
| member('SKOLEMAAAV3'(X,Y),X)
| member('SKOLEMAAAV3'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(18,negated_conjecture,
intersection(difference('SKOLEMAAAV4','SKOLEMAAAV5'),'SKOLEMAAAV5') != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersection_difference_empty_set) ).
cnf(21,plain,
( empty(intersection(X,Y))
| member('SKOLEMAAAV2'(intersection(X,Y)),X) ),
inference('HYPERRESOLVE',[status(thm)],[1,14]) ).
cnf(29,plain,
( empty_set = X
| member('SKOLEMAAAV3'(empty_set,X),X) ),
inference('HYPERRESOLVE',[status(thm)],[6,17]) ).
cnf(81,plain,
empty(intersection(X,difference(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[4,21,21]) ).
cnf(89,plain,
empty_set = intersection(X,difference(Y,X)),
inference('HYPERRESOLVE',[status(thm)],[13,81,29]) ).
cnf(90,plain,
$false,
inference('REWRITE',[status(thm)],[18,89,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET008+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 01:50:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T01:50:15
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-11T01:50:15
% 0.20/0.49
% 0.20/0.50 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.37/0.55 ; Declaring intersection to be commutative.
% 0.37/0.55
% 0.37/0.55 #||
% 0.37/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.55 % SZS output start Refutation
% See solution above
% 0.37/0.55 ||#
% 0.37/0.55
% 0.37/0.55 ; Summary of computation:
% 0.37/0.55 ; 337 formulas have been input or derived (from 34 formulas).
% 0.37/0.55 ; 90 (27%) were retained. Of these,
% 0.37/0.55 ; 14 (16%) were simplified or subsumed later,
% 0.37/0.55 ; 76 (84%) are still being kept.
% 0.37/0.55 ;
% 0.37/0.55 ; Run time in seconds excluding printing time:
% 0.37/0.55 ; 0.003 5% Read assertion file (1 call)
% 0.37/0.55 ; 0.001 2% Assert (10 calls)
% 0.37/0.55 ; 0.010 15% Process new row (265 calls)
% 0.37/0.55 ; 0.009 14% Resolution (66 calls)
% 0.37/0.55 ; 0.001 2% Paramodulation (33 calls)
% 0.37/0.55 ; 0.000 0% Factoring (10 calls)
% 0.37/0.55 ; 0.005 8% Condensing (132 calls)
% 0.37/0.55 ; 0.003 5% Forward subsumption (132 calls)
% 0.37/0.55 ; 0.001 2% Backward subsumption (68 calls)
% 0.37/0.55 ; 0.001 2% Clause clause subsumption (311 calls)
% 0.37/0.55 ; 0.005 8% Forward simplification (255 calls)
% 0.37/0.55 ; 0.001 2% Backward simplification (90 calls)
% 0.37/0.55 ; 0.001 2% Ordering (319 calls)
% 0.37/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.55 ; 0.000 0% Purity testing (1 call)
% 0.37/0.55 ; 0.024 37% Other
% 0.37/0.55 ; 0.065 Total
% 0.37/0.55 ; 0.068 Real time
% 0.37/0.55 ;
% 0.37/0.55 ; Term-hash-array has 155 terms in all.
% 0.37/0.55 ; Feature-vector-row-index has 68 entries (68 at peak, 68 added, 0 deleted).
% 0.37/0.55 ; Feature-vector-row-index has 133 nodes (133 at peak, 133 added, 0 deleted).
% 0.37/0.55 ; Retrieved 375 possibly forward subsuming rows in 132 calls.
% 0.37/0.55 ; Retrieved 26 possibly backward subsumed rows in 68 calls.
% 0.37/0.55 ; Path-index has 134 entries (150 at peak, 158 added, 24 deleted).
% 0.37/0.55 ; Path-index has 215 nodes (256 at peak, 264 added, 49 deleted).
% 0.37/0.55 ; Trie-index has 134 entries (150 at peak, 158 added, 24 deleted).
% 0.37/0.55 ; Trie-index has 320 nodes (413 at peak, 428 added, 108 deleted).
% 0.37/0.55 ; Retrieved 209 generalization terms in 629 calls.
% 0.37/0.55 ; Retrieved 27 instance terms in 21 calls.
% 0.37/0.55 ; Retrieved 2,838 unifiable terms in 322 calls.
% 0.37/0.55 ;
% 0.37/0.55 ; The agenda of backward simplifiable rows to process has 4 entries:
% 0.37/0.55 ; 4 with value 0
% 0.37/0.55 ; The agenda of rows to process has 4 entries:
% 0.37/0.55 ; 1 with value 13 1 with value 15 2 with value 26
% 0.37/0.55 ; The agenda of rows to give has 47 entries:
% 0.37/0.55 ; 1 with value (4 13) 8 with value (4 19) 4 with value (4 23)
% 0.37/0.55 ; 3 with value (4 16) 4 with value (4 20) 1 with value (4 24)
% 0.37/0.55 ; 1 with value (4 17) 6 with value (4 21) 7 with value (4 26)
% 0.37/0.55 ; 2 with value (4 18) 3 with value (4 22) 7 with value (4 28)
% 0.37/0.55 Evaluation took:
% 0.37/0.55 0.068 seconds of real time
% 0.37/0.55 0.062812 seconds of user run time
% 0.37/0.55 0.00507 seconds of system run time
% 0.37/0.55 0 calls to %EVAL
% 0.37/0.55 0 page faults and
% 0.37/0.55 3,627,560 bytes consed.
% 0.37/0.55 :PROOF-FOUND
% 0.37/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T01:50:15
% 0.37/0.55 :PROOF-FOUND
% 0.37/0.55 *
%------------------------------------------------------------------------------