TSTP Solution File: SET600+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET600+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 05:10:43 EDT 2022
% Result : Theorem 0.36s 0.53s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 6 unt; 11 nHn; 17 RR)
% Number of literals : 42 ( 19 equ; 13 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(X,union(Y,Z))
| member(X,Y)
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
cnf(2,axiom,
( member(X,union(Y,Z))
| ~ member(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
cnf(3,axiom,
~ member(X,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_defn) ).
cnf(10,axiom,
( ~ empty(X)
| ~ member(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_defn) ).
cnf(11,axiom,
( empty(X)
| member('SKOLEMAAAU2'(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_defn) ).
cnf(12,axiom,
( X != Y
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(14,axiom,
( X = Y
| member('SKOLEMAAAU3'(X,Y),X)
| member('SKOLEMAAAU3'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(15,negated_conjecture,
( union('SKOLEMAAAU4','SKOLEMAAAU5') != empty_set
| 'SKOLEMAAAU4' != empty_set
| 'SKOLEMAAAU5' != empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th59) ).
cnf(16,negated_conjecture,
( union('SKOLEMAAAU4','SKOLEMAAAU5') = empty_set
| 'SKOLEMAAAU4' = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th59) ).
cnf(17,negated_conjecture,
( union('SKOLEMAAAU4','SKOLEMAAAU5') = empty_set
| 'SKOLEMAAAU5' = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th59) ).
cnf(19,plain,
( empty(X)
| member('SKOLEMAAAU2'(X),union(X,Y)) ),
inference('HYPERRESOLVE',[status(thm)],[2,11]) ).
cnf(25,plain,
( 'SKOLEMAAAU5' = empty_set
| empty(union('SKOLEMAAAU4','SKOLEMAAAU5')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[12,17,11]),3]) ).
cnf(26,plain,
( 'SKOLEMAAAU4' = empty_set
| empty(union('SKOLEMAAAU4','SKOLEMAAAU5')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[12,16,11]),3]) ).
cnf(27,plain,
~ member(X,union(empty_set,empty_set)),
inference('UR-RESOLVE',[status(thm)],[1,3,3]) ).
cnf(29,plain,
( empty_set = X
| member('SKOLEMAAAU3'(empty_set,X),X) ),
inference('HYPERRESOLVE',[status(thm)],[3,14]) ).
cnf(44,plain,
union(empty_set,empty_set) = empty_set,
inference('UR-RESOLVE',[status(thm)],[14,27,3]) ).
cnf(45,plain,
( empty('SKOLEMAAAU4')
| 'SKOLEMAAAU4' = empty_set ),
inference('HYPERRESOLVE',[status(thm)],[10,19,26]) ).
cnf(48,plain,
( empty('SKOLEMAAAU5')
| 'SKOLEMAAAU5' = empty_set ),
inference('HYPERRESOLVE',[status(thm)],[10,19,25]) ).
cnf(59,plain,
'SKOLEMAAAU5' = empty_set,
inference('HYPERRESOLVE',[status(thm)],[10,29,48]) ).
cnf(60,plain,
( union('SKOLEMAAAU4',empty_set) != empty_set
| 'SKOLEMAAAU4' != empty_set ),
inference('REWRITE',[status(thm)],[15,59,theory(equality)]) ).
cnf(66,plain,
'SKOLEMAAAU4' = empty_set,
inference('HYPERRESOLVE',[status(thm)],[10,29,45]) ).
cnf(67,plain,
$false,
inference('REWRITE',[status(thm)],[60,44,66,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET600+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 23:28:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T23:28:52
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-09T23:28:52
% 0.20/0.48
% 0.20/0.48 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.36/0.53 ; Declaring union to be commutative.
% 0.36/0.53
% 0.36/0.53 #||
% 0.36/0.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.53 % SZS output start Refutation
% See solution above
% 0.36/0.53 ||#
% 0.36/0.53
% 0.36/0.53 ; Summary of computation:
% 0.36/0.53 ; 257 formulas have been input or derived (from 32 formulas).
% 0.36/0.53 ; 67 (26%) were retained. Of these,
% 0.36/0.53 ; 32 (48%) were simplified or subsumed later,
% 0.36/0.53 ; 35 (52%) are still being kept.
% 0.36/0.53 ;
% 0.36/0.53 ; Run time in seconds excluding printing time:
% 0.36/0.53 ; 0.002 4% Read assertion file (1 call)
% 0.36/0.53 ; 0.001 2% Assert (9 calls)
% 0.36/0.53 ; 0.006 11% Process new row (198 calls)
% 0.36/0.53 ; 0.007 13% Resolution (62 calls)
% 0.36/0.53 ; 0.001 2% Paramodulation (31 calls)
% 0.36/0.53 ; 0.000 0% Factoring (15 calls)
% 0.36/0.53 ; 0.007 13% Condensing (115 calls)
% 0.36/0.53 ; 0.006 11% Forward subsumption (115 calls)
% 0.36/0.53 ; 0.001 2% Backward subsumption (56 calls)
% 0.36/0.53 ; 0.000 0% Clause clause subsumption (150 calls)
% 0.36/0.53 ; 0.001 2% Forward simplification (193 calls)
% 0.36/0.53 ; 0.001 2% Backward simplification (67 calls)
% 0.36/0.53 ; 0.000 0% Ordering (330 calls)
% 0.36/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.36/0.53 ; 0.000 0% Purity testing (1 call)
% 0.36/0.53 ; 0.022 40% Other
% 0.36/0.53 ; 0.055 Total
% 0.36/0.53 ; 0.059 Real time
% 0.36/0.53 ;
% 0.36/0.53 ; Term-hash-array has 99 terms in all.
% 0.36/0.53 ; Feature-vector-row-index has 27 entries (50 at peak, 56 added, 29 deleted).
% 0.36/0.53 ; Feature-vector-row-index has 62 nodes (160 at peak, 192 added, 130 deleted).
% 0.36/0.53 ; Retrieved 167 possibly forward subsuming rows in 115 calls.
% 0.36/0.53 ; Retrieved 27 possibly backward subsumed rows in 56 calls.
% 0.36/0.53 ; Path-index has 69 entries (90 at peak, 102 added, 33 deleted).
% 0.36/0.53 ; Path-index has 85 nodes (112 at peak, 130 added, 45 deleted).
% 0.36/0.53 ; Trie-index has 69 entries (90 at peak, 102 added, 33 deleted).
% 0.36/0.53 ; Trie-index has 124 nodes (168 at peak, 199 added, 75 deleted).
% 0.36/0.53 ; Retrieved 93 generalization terms in 288 calls.
% 0.36/0.53 ; Retrieved 12 instance terms in 10 calls.
% 0.36/0.53 ; Retrieved 1,471 unifiable terms in 225 calls.
% 0.36/0.53 ;
% 0.36/0.53 ; The agenda of backward simplifiable rows to process has 5 entries:
% 0.36/0.53 ; 5 with value 0
% 0.36/0.53 ; The agenda of rows to process has 18 entries:
% 0.36/0.53 ; 1 with value 11 1 with value 16 4 with value 23
% 0.36/0.53 ; 6 with value 13 2 with value 19 1 with value 29
% 0.36/0.53 ; 1 with value 15 2 with value 20
% 0.36/0.53 ; The agenda of rows to give has 15 entries:
% 0.36/0.53 ; 2 with value (4 7) 1 with value (4 17) 1 with value (4 25)
% 0.36/0.53 ; 1 with value (4 12) 1 with value (4 19) 2 with value (4 26)
% 0.36/0.53 ; 1 with value (4 13) 2 with value (4 21) 2 with value (4 38)
% 0.38/0.53 ; 1 with value (4 16) 1 with value (4 23)
% 0.38/0.53 Evaluation took:
% 0.38/0.53 0.059 seconds of real time
% 0.38/0.53 0.054052 seconds of user run time
% 0.38/0.53 0.004846 seconds of system run time
% 0.38/0.53 0 calls to %EVAL
% 0.38/0.53 0 page faults and
% 0.38/0.53 3,881,336 bytes consed.
% 0.38/0.53 :PROOF-FOUND
% 0.38/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T23:28:52
% 0.38/0.53 :PROOF-FOUND
% 0.38/0.53 *
%------------------------------------------------------------------------------