TSTP Solution File: SET185+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET185+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 05:08:10 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 6 unt; 3 nHn; 9 RR)
% Number of literals : 23 ( 4 equ; 8 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(X,union(Y,Z))
| member(X,Y)
| member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
cnf(2,axiom,
( member(X,union(Y,Z))
| ~ member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
cnf(3,axiom,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(10,axiom,
( X = Y
| ~ member('SKOLEMAAAV2'(X,Y),X)
| ~ member('SKOLEMAAAV2'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(11,axiom,
( X = Y
| member('SKOLEMAAAV2'(X,Y),X)
| member('SKOLEMAAAV2'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(12,negated_conjecture,
subset('SKOLEMAAAV3','SKOLEMAAAV4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subset_union) ).
cnf(13,negated_conjecture,
union('SKOLEMAAAV3','SKOLEMAAAV4') != 'SKOLEMAAAV4',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subset_union) ).
cnf(18,plain,
( X = Y
| member('SKOLEMAAAV2'(X,Y),Y)
| member('SKOLEMAAAV2'(X,Y),union(X,Z)) ),
inference('HYPERRESOLVE',[status(thm)],[2,11]) ).
cnf(77,plain,
member('SKOLEMAAAV2'('SKOLEMAAAV4',union('SKOLEMAAAV3','SKOLEMAAAV4')),union('SKOLEMAAAV3','SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[18,13]) ).
cnf(84,plain,
~ member('SKOLEMAAAV2'('SKOLEMAAAV4',union('SKOLEMAAAV3','SKOLEMAAAV4')),'SKOLEMAAAV4'),
inference('UR-RESOLVE',[status(thm)],[10,77,13]) ).
cnf(86,plain,
member('SKOLEMAAAV2'('SKOLEMAAAV4',union('SKOLEMAAAV3','SKOLEMAAAV4')),'SKOLEMAAAV3'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,77]),84]) ).
cnf(89,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3,84,12]),86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET185+3 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n015.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 : Sun Jul 10 10:52:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T10:52:38
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-10T10:52:38
% 0.19/0.47
% 0.19/0.47 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.19/0.53 ; Declaring union to be commutative.
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 217 formulas have been input or derived (from 33 formulas).
% 0.19/0.53 ; 89 (41%) were retained. Of these,
% 0.19/0.53 ; 89 (100%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.001 1% Read assertion file (1 call)
% 0.19/0.53 ; 0.001 1% Assert (7 calls)
% 0.19/0.53 ; 0.012 17% Process new row (174 calls)
% 0.19/0.53 ; 0.008 11% Resolution (64 calls)
% 0.19/0.53 ; 0.001 1% Paramodulation (32 calls)
% 0.19/0.53 ; 0.000 0% Factoring (19 calls)
% 0.19/0.53 ; 0.004 6% Condensing (146 calls)
% 0.19/0.53 ; 0.009 13% Forward subsumption (146 calls)
% 0.19/0.53 ; 0.001 1% Backward subsumption (80 calls)
% 0.19/0.53 ; 0.003 4% Clause clause subsumption (437 calls)
% 0.19/0.53 ; 0.003 4% Forward simplification (174 calls)
% 0.19/0.53 ; 0.000 0% Backward simplification (89 calls)
% 0.19/0.53 ; 0.003 4% Ordering (844 calls)
% 0.19/0.53 ; 0.001 1% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.023 33% Other
% 0.19/0.53 ; 0.070 Total
% 0.19/0.53 ; 0.073 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 150 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 80 entries (80 at peak, 80 added, 0 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 237 nodes (237 at peak, 237 added, 0 deleted).
% 0.19/0.53 ; Retrieved 426 possibly forward subsuming rows in 146 calls.
% 0.19/0.53 ; Retrieved 74 possibly backward subsumed rows in 80 calls.
% 0.19/0.53 ; Path-index has 152 entries (152 at peak, 152 added, 0 deleted).
% 0.19/0.53 ; Path-index has 114 nodes (114 at peak, 114 added, 0 deleted).
% 0.19/0.53 ; Trie-index has 152 entries (152 at peak, 152 added, 0 deleted).
% 0.19/0.53 ; Trie-index has 299 nodes (299 at peak, 299 added, 0 deleted).
% 0.19/0.53 ; Retrieved 13 generalization terms in 177 calls.
% 0.19/0.53 ; Retrieved 10 instance terms in 8 calls.
% 0.19/0.53 ; Retrieved 1,279 unifiable terms in 323 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of rows to process has 3 entries:
% 0.19/0.53 ; 1 with value 14 2 with value 16
% 0.19/0.53 ; The agenda of rows to give has 56 entries:
% 0.19/0.53 ; 1 with value (4 11) 1 with value (4 24) 2 with value (4 31)
% 0.19/0.53 ; 1 with value (4 13) 2 with value (4 25) 4 with value (4 32)
% 0.19/0.53 ; 1 with value (4 17) 5 with value (4 26) 2 with value (4 38)
% 0.19/0.53 ; 1 with value (4 20) 5 with value (4 27) 3 with value (4 39)
% 0.19/0.53 ; 1 with value (4 21) 8 with value (4 28) 1 with value (4 40)
% 0.19/0.53 ; 5 with value (4 22) 1 with value (4 29) 1 with value (4 41)
% 0.19/0.53 ; 11 with value (4 23)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.073 seconds of real time
% 0.19/0.53 0.06281 seconds of user run time
% 0.19/0.53 0.010211 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 4,253,848 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T10:52:38
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------