TSTP Solution File: SET628+3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET628+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 05:11:05 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 17 ( 5 unt; 7 nHn; 12 RR)
% Number of literals : 31 ( 6 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ intersect(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersect_defn) ).
cnf(3,axiom,
( intersect(X,Y)
| ~ member(Z,X)
| ~ member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersect_defn) ).
cnf(4,axiom,
~ member(X,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set_defn) ).
cnf(7,axiom,
( X = Y
| member('SKOLEMAAAV2'(X,Y),X)
| member('SKOLEMAAAV2'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(8,axiom,
( ~ not_equal(X,Y)
| X != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_defn) ).
cnf(9,axiom,
( not_equal(X,Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_defn) ).
cnf(10,axiom,
( ~ empty(X)
| ~ member(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_defn) ).
cnf(11,axiom,
( empty(X)
| member('SKOLEMAAAV3'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_defn) ).
cnf(12,negated_conjecture,
( ~ intersect('SKOLEMAAAV4','SKOLEMAAAV4')
| ~ not_equal('SKOLEMAAAV4',empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th110) ).
cnf(13,negated_conjecture,
( intersect('SKOLEMAAAV4','SKOLEMAAAV4')
| not_equal('SKOLEMAAAV4',empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th110) ).
cnf(14,plain,
~ not_equal(X,X),
inference('UR-RESOLVE',[status(thm)],[8,theory(equality)]) ).
cnf(16,plain,
~ intersect(empty_set,X),
inference('UR-RESOLVE',[status(thm)],[1,4]) ).
cnf(17,plain,
( empty(X)
| intersect(X,X) ),
inference('HYPERRESOLVE',[status(thm)],[3,11,11]) ).
cnf(18,plain,
( empty_set = X
| member('SKOLEMAAAV2'(empty_set,X),X) ),
inference('HYPERRESOLVE',[status(thm)],[4,7]) ).
cnf(22,plain,
( empty('SKOLEMAAAV4')
| 'SKOLEMAAAV4' = empty_set ),
inference('HYPERRESOLVE',[status(thm)],[12,17,9]) ).
cnf(26,plain,
'SKOLEMAAAV4' = empty_set,
inference('HYPERRESOLVE',[status(thm)],[10,18,22]) ).
cnf(27,plain,
$false,
inference('REWRITE',[status(thm)],[13,14,16,26,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET628+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n020.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 : Mon Jul 11 02:29:13 EDT 2022
% 0.12/0.33 % 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 2022-07-11T02:29:13
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-11T02:29:13
% 0.18/0.48
% 0.18/0.48 ; Recognized commutativity assertion (OR (NOT (|intersect| ?X ?Y)) (|intersect| ?Y ?X)).
% 0.18/0.50 ; Declaring intersect to be commutative.
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 85 formulas have been input or derived (from 20 formulas).
% 0.18/0.50 ; 27 (32%) were retained. Of these,
% 0.18/0.50 ; 5 (19%) were simplified or subsumed later,
% 0.18/0.50 ; 22 (81%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds excluding printing time:
% 0.18/0.50 ; 0.002 6% Read assertion file (1 call)
% 0.18/0.50 ; 0.001 3% Assert (7 calls)
% 0.18/0.50 ; 0.000 0% Process new row (56 calls)
% 0.18/0.50 ; 0.005 15% Resolution (38 calls)
% 0.18/0.50 ; 0.000 0% Paramodulation (19 calls)
% 0.18/0.50 ; 0.000 0% Factoring (7 calls)
% 0.18/0.50 ; 0.000 0% Condensing (32 calls)
% 0.18/0.50 ; 0.002 6% Forward subsumption (32 calls)
% 0.18/0.50 ; 0.000 0% Backward subsumption (21 calls)
% 0.18/0.50 ; 0.001 3% Clause clause subsumption (22 calls)
% 0.18/0.50 ; 0.000 0% Forward simplification (56 calls)
% 0.18/0.50 ; 0.000 0% Backward simplification (27 calls)
% 0.18/0.50 ; 0.000 0% Ordering (93 calls)
% 0.18/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.50 ; 0.000 0% Purity testing (1 call)
% 0.18/0.50 ; 0.022 67% Other
% 0.18/0.50 ; 0.033 Total
% 0.18/0.50 ; 0.035 Real time
% 0.18/0.50 ;
% 0.18/0.50 ; Term-hash-array has 37 terms in all.
% 0.18/0.50 ; Feature-vector-row-index has 16 entries (21 at peak, 21 added, 5 deleted).
% 0.18/0.50 ; Feature-vector-row-index has 36 nodes (61 at peak, 61 added, 25 deleted).
% 0.18/0.50 ; Retrieved 19 possibly forward subsuming rows in 32 calls.
% 0.18/0.50 ; Retrieved 4 possibly backward subsumed rows in 21 calls.
% 0.18/0.50 ; Path-index has 31 entries (39 at peak, 39 added, 8 deleted).
% 0.18/0.50 ; Path-index has 52 nodes (60 at peak, 60 added, 8 deleted).
% 0.18/0.50 ; Trie-index has 31 entries (39 at peak, 39 added, 8 deleted).
% 0.18/0.50 ; Trie-index has 52 nodes (66 at peak, 66 added, 14 deleted).
% 0.18/0.50 ; Retrieved 10 generalization terms in 52 calls.
% 0.18/0.50 ; Retrieved 7 instance terms in 5 calls.
% 0.18/0.50 ; Retrieved 320 unifiable terms in 107 calls.
% 0.18/0.50 ;
% 0.18/0.50 ; The agenda of backward simplifiable rows to process has 3 entries:
% 0.18/0.50 ; 3 with value 0
% 0.18/0.50 ; The agenda of rows to process has 7 entries:
% 0.18/0.50 ; 1 with value 10 2 with value 13 4 with value 17
% 0.18/0.50 ; The agenda of rows to give has 5 entries:
% 0.18/0.50 ; 1 with value (4 7) 2 with value (4 12) 2 with value (4 16)
% 0.18/0.50 Evaluation took:
% 0.18/0.50 0.036 seconds of real time
% 0.18/0.50 0.033437 seconds of user run time
% 0.18/0.50 0.002179 seconds of system run time
% 0.18/0.50 0 calls to %EVAL
% 0.18/0.50 0 page faults and
% 0.18/0.50 2,501,952 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T02:29:13
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------