TSTP Solution File: SET090-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET090-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 05:07:11 EDT 2022
% Result : Unsatisfiable 0.44s 0.60s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 1 nHn; 8 RR)
% Number of literals : 13 ( 9 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(singleton_identified_by_element1,axiom,
( singleton(X) != singleton(Y)
| ~ member(X,universal_class)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_identified_by_element1) ).
cnf(member_exists2,axiom,
( ~ member(X,universal_class)
| singleton(member_of(singleton(X))) = singleton(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_exists2) ).
cnf(member_exists4,axiom,
( singleton(member_of(X)) = X
| member_of(X) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_exists4) ).
cnf(prove_member_of_singleton_is_unique_1,negated_conjecture,
member(u,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_member_of_singleton_is_unique_1) ).
cnf(prove_member_of_singleton_is_unique_2,negated_conjecture,
member_of(singleton(u)) != u,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_member_of_singleton_is_unique_2) ).
cnf(402,plain,
singleton(u) != singleton(member_of(singleton(u))),
inference('UR-RESOLVE',[status(thm)],[singleton_identified_by_element1,prove_member_of_singleton_is_unique_1,prove_member_of_singleton_is_unique_2]) ).
cnf(404,plain,
member_of(singleton(u)) = singleton(u),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[singleton_identified_by_element1,member_exists4,prove_member_of_singleton_is_unique_1]),prove_member_of_singleton_is_unique_2]) ).
cnf(408,plain,
singleton(u) != singleton(singleton(u)),
inference('REWRITE',[status(thm)],[402,404,theory(equality)]) ).
cnf(413,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[member_exists2,prove_member_of_singleton_is_unique_1]),408,404,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET090-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 09:43:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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 2022-07-10T09:43:55
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-10T09:43:55
% 0.19/0.50
% 0.19/0.50 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.60 ; Declaring unordered_pair to be commutative.
% 0.19/0.60
% 0.19/0.60 #||
% 0.44/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/0.60 % SZS output start Refutation
% See solution above
% 0.44/0.60 ||#
% 0.44/0.60
% 0.44/0.60 ; Summary of computation:
% 0.44/0.60 ; 1074 formulas have been input or derived (from 95 formulas).
% 0.44/0.60 ; 413 (38%) were retained. Of these,
% 0.44/0.60 ; 19 ( 5%) were simplified or subsumed later,
% 0.44/0.60 ; 394 (95%) are still being kept.
% 0.44/0.60 ;
% 0.44/0.60 ; Run time in seconds:
% 0.44/0.60 ; 0.024 17% Read assertion file (1 call)
% 0.44/0.60 ; 0.004 3% Assert (135 calls)
% 0.44/0.60 ; 0.025 18% Process new row (964 calls)
% 0.44/0.60 ; 0.014 10% Resolution (188 calls)
% 0.44/0.60 ; 0.002 1% Paramodulation (94 calls)
% 0.44/0.60 ; 0.000 0% Factoring (9 calls)
% 0.44/0.60 ; 0.007 5% Condensing (339 calls)
% 0.44/0.60 ; 0.007 5% Forward subsumption (339 calls)
% 0.44/0.60 ; 0.005 4% Backward subsumption (251 calls)
% 0.44/0.60 ; 0.002 1% Clause clause subsumption (399 calls)
% 0.44/0.60 ; 0.020 14% Forward simplification (963 calls)
% 0.44/0.60 ; 0.002 1% Backward simplification (401 calls)
% 0.44/0.60 ; 0.003 2% Ordering (737 calls)
% 0.44/0.60 ; 0.000 0% Sortal reasoning (32 calls)
% 0.44/0.60 ; 0.000 0% Purity testing (1 call)
% 0.44/0.60 ; 0.024 17% Other
% 0.44/0.60 ; 0.139 Total
% 0.44/0.60 ; 0.140 Real time
% 0.44/0.60 ;
% 0.44/0.60 ; Term-hash-array has 775 terms in all.
% 0.44/0.60 ; Feature-vector-row-index has 251 entries (251 at peak, 251 added, 0 deleted).
% 0.44/0.60 ; Feature-vector-row-index has 1,235 nodes (1,235 at peak, 1,235 added, 0 deleted).
% 0.44/0.60 ; Retrieved 627 possibly forward subsuming rows in 339 calls.
% 0.44/0.60 ; Retrieved 51 possibly backward subsumed rows in 251 calls.
% 0.44/0.60 ; Path-index has 775 entries (775 at peak, 784 added, 9 deleted).
% 0.44/0.60 ; Path-index has 2,007 nodes (2,007 at peak, 2,014 added, 7 deleted).
% 0.44/0.60 ; Trie-index has 775 entries (775 at peak, 784 added, 9 deleted).
% 0.44/0.60 ; Trie-index has 2,247 nodes (2,247 at peak, 2,267 added, 20 deleted).
% 0.44/0.60 ; Retrieved 1,117 generalization terms in 2,811 calls.
% 0.44/0.60 ; Retrieved 169 instance terms in 149 calls.
% 0.44/0.60 ; Retrieved 12,324 unifiable terms in 908 calls.
% 0.44/0.60 ;
% 0.44/0.60 ; The agenda of rows to process has 12 entries:
% 0.44/0.60 ; 3 with value 12 1 with value 18 2 with value 21
% 0.44/0.60 ; 1 with value 15 1 with value 19 2 with value 23
% 0.44/0.60 ; 1 with value 17 1 with value 20
% 0.44/0.60 ; The agenda of input rows to give has 33 entries:
% 0.44/0.60 ; 5 with value 16 3 with value 21 1 with value 31
% 0.44/0.60 ; 3 with value 17 4 with value 22 1 with value 34
% 0.44/0.60 ; 4 with value 18 1 with value 27 2 with value 35
% 0.44/0.60 ; 1 with value 19 2 with value 30 1 with value 50
% 0.44/0.60 ; 5 with value 20
% 0.44/0.60 ; The agenda of rows to give has 268 entries:
% 0.44/0.60 ; 2 with value (4 4) 21 with value (4 14) 7 with value (4 22)
% 0.44/0.60 ; 2 with value (4 5) 19 with value (4 15) 12 with value (4 23)
% 0.44/0.60 ; 19 with value (4 7) 15 with value (4 16) 6 with value (4 24)
% 0.44/0.60 ; 22 with value (4 8) 16 with value (4 17) 3 with value (4 25)
% 0.44/0.60 ; 12 with value (4 9) 14 with value (4 18) 3 with value (4 26)
% 0.44/0.60 ; 16 with value (4 10) 16 with value (4 19) 3 with value (4 28)
% 0.44/0.60 ; 11 with value (4 11) 17 with value (4 20) 1 with value (4 29)
% 0.44/0.60 ; 13 with value (4 12) 4 with value (4 21) 2 with value (4 30)
% 0.44/0.60 ; 12 with value (4 13)
% 0.44/0.60 Evaluation took:
% 0.44/0.60 0.14 seconds of real time
% 0.44/0.60 0.129485 seconds of user run time
% 0.44/0.60 0.010874 seconds of system run time
% 0.44/0.60 0 calls to %EVAL
% 0.44/0.60 0 page faults and
% 0.44/0.60 8,975,248 bytes consed.
% 0.44/0.60 :PROOF-FOUND
% 0.44/0.60 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T09:43:56
% 0.44/0.60 :PROOF-FOUND
% 0.44/0.60 *
%------------------------------------------------------------------------------