TSTP Solution File: SET084-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET084-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 05:07:05 EDT 2022
% Result : Unsatisfiable 0.18s 0.54s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 9 ( 3 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(set_in_its_singleton,axiom,
( ~ member(X,universal_class)
| member(X,singleton(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_in_its_singleton) ).
cnf(only_member_in_singleton,axiom,
( ~ member(X,singleton(Y))
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).
cnf(prove_singleton_identified_by_element2_1,negated_conjecture,
singleton(x) = singleton(y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_1) ).
cnf(prove_singleton_identified_by_element2_2,negated_conjecture,
member(y,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_2) ).
cnf(prove_singleton_identified_by_element2_3,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_3) ).
cnf(162,plain,
member(y,singleton(x)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[set_in_its_singleton,prove_singleton_identified_by_element2_2]),prove_singleton_identified_by_element2_1,theory(equality)]) ).
cnf(171,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[only_member_in_singleton,prove_singleton_identified_by_element2_3]),162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET084-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.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 09:57:12 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 2022-07-10T09:57:12
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-10T09:57:12
% 0.18/0.50
% 0.18/0.50 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.18/0.54 ; Declaring unordered_pair to be commutative.
% 0.18/0.54
% 0.18/0.54 #||
% 0.18/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.54 % SZS output start Refutation
% See solution above
% 0.18/0.54 ||#
% 0.18/0.54
% 0.18/0.54 ; Summary of computation:
% 0.18/0.54 ; 241 formulas have been input or derived (from 44 formulas).
% 0.18/0.54 ; 171 (71%) were retained. Of these,
% 0.18/0.54 ; 14 ( 8%) were simplified or subsumed later,
% 0.18/0.54 ; 157 (92%) are still being kept.
% 0.18/0.54 ;
% 0.18/0.54 ; Run time in seconds:
% 0.18/0.54 ; 0.023 29% Read assertion file (1 call)
% 0.18/0.54 ; 0.003 4% Assert (129 calls)
% 0.18/0.54 ; 0.011 14% Process new row (211 calls)
% 0.18/0.54 ; 0.003 4% Resolution (86 calls)
% 0.18/0.54 ; 0.000 0% Paramodulation (43 calls)
% 0.18/0.54 ; 0.000 0% Factoring (1 call)
% 0.18/0.54 ; 0.002 3% Condensing (89 calls)
% 0.18/0.54 ; 0.001 1% Forward subsumption (89 calls)
% 0.18/0.54 ; 0.003 4% Backward subsumption (83 calls)
% 0.18/0.54 ; 0.001 1% Clause clause subsumption (37 calls)
% 0.18/0.54 ; 0.003 4% Forward simplification (210 calls)
% 0.18/0.54 ; 0.002 3% Backward simplification (159 calls)
% 0.18/0.54 ; 0.000 0% Ordering (72 calls)
% 0.18/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.54 ; 0.000 0% Purity testing (1 call)
% 0.18/0.54 ; 0.026 33% Other
% 0.18/0.54 ; 0.078 Total
% 0.18/0.54 ; 0.080 Real time
% 0.18/0.54 ;
% 0.18/0.54 ; Term-hash-array has 339 terms in all.
% 0.18/0.54 ; Feature-vector-row-index has 83 entries (83 at peak, 83 added, 0 deleted).
% 0.18/0.54 ; Feature-vector-row-index has 345 nodes (345 at peak, 345 added, 0 deleted).
% 0.18/0.54 ; Retrieved 37 possibly forward subsuming rows in 89 calls.
% 0.18/0.54 ; Retrieved 5 possibly backward subsumed rows in 83 calls.
% 0.18/0.54 ; Path-index has 346 entries (346 at peak, 349 added, 3 deleted).
% 0.18/0.54 ; Path-index has 1,074 nodes (1,074 at peak, 1,077 added, 3 deleted).
% 0.18/0.54 ; Trie-index has 346 entries (346 at peak, 349 added, 3 deleted).
% 0.18/0.54 ; Trie-index has 945 nodes (945 at peak, 952 added, 7 deleted).
% 0.18/0.54 ; Retrieved 119 generalization terms in 440 calls.
% 0.18/0.54 ; Retrieved 95 instance terms in 75 calls.
% 0.18/0.54 ; Retrieved 1,274 unifiable terms in 227 calls.
% 0.18/0.54 ;
% 0.18/0.54 ; The agenda of rows to process has 2 entries:
% 0.18/0.54 ; 1 with value 11 1 with value 15
% 0.18/0.54 ; The agenda of input rows to give has 78 entries:
% 0.18/0.54 ; 1 with value 10 3 with value 17 1 with value 27
% 0.18/0.54 ; 11 with value 11 4 with value 18 2 with value 30
% 0.18/0.54 ; 10 with value 12 1 with value 19 1 with value 31
% 0.18/0.54 ; 10 with value 13 4 with value 20 1 with value 34
% 0.18/0.54 ; 6 with value 14 3 with value 21 2 with value 35
% 0.18/0.54 ; 8 with value 15 4 with value 22 1 with value 50
% 0.18/0.54 ; 5 with value 16
% 0.18/0.54 ; The agenda of rows to give has 36 entries:
% 0.18/0.54 ; 1 with value (4 4) 3 with value (4 8) 1 with value (4 12)
% 0.18/0.54 ; 1 with value (4 5) 6 with value (4 9) 3 with value (4 13)
% 0.18/0.54 ; 15 with value (4 7) 5 with value (4 10) 1 with value (4 14)
% 0.18/0.54 Evaluation took:
% 0.18/0.54 0.08 seconds of real time
% 0.18/0.54 0.070796 seconds of user run time
% 0.18/0.54 0.009041 seconds of system run time
% 0.18/0.54 0 calls to %EVAL
% 0.18/0.54 0 page faults and
% 0.18/0.54 3,893,480 bytes consed.
% 0.18/0.54 :PROOF-FOUND
% 0.18/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T09:57:12
% 0.18/0.54 :PROOF-FOUND
% 0.18/0.54 *
%------------------------------------------------------------------------------