TSTP Solution File: SET080-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET080-7 : 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 05:07:01 EDT 2022
% Result : Unsatisfiable 0.38s 0.56s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 3
% Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 4 RR)
% Number of literals : 5 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 1 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(null_class_is_a_set,axiom,
member(null_class,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_a_set) ).
cnf(set_in_its_singleton,axiom,
( ~ member(X,universal_class)
| member(X,singleton(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_in_its_singleton) ).
cnf(prove_null_class_in_its_singleton_1,negated_conjecture,
~ member(null_class,singleton(null_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_in_its_singleton_1) ).
cnf(152,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[set_in_its_singleton,null_class_is_a_set,prove_null_class_in_its_singleton_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET080-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sat Jul 9 22:45:10 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T22:45:10
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-09T22:45:10
% 0.36/0.53
% 0.36/0.53 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.38/0.56 ; Declaring unordered_pair to be commutative.
% 0.38/0.56
% 0.38/0.56 #||
% 0.38/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.56 % SZS output start Refutation
% See solution above
% 0.38/0.57 ||#
% 0.38/0.57
% 0.38/0.57 ; Summary of computation:
% 0.38/0.57 ; 211 formulas have been input or derived (from 39 formulas).
% 0.38/0.57 ; 152 (72%) were retained. Of these,
% 0.38/0.57 ; 14 ( 9%) were simplified or subsumed later,
% 0.38/0.57 ; 138 (91%) are still being kept.
% 0.38/0.57 ;
% 0.38/0.57 ; Run time in seconds excluding printing time:
% 0.38/0.57 ; 0.022 29% Read assertion file (1 call)
% 0.38/0.57 ; 0.002 3% Assert (124 calls)
% 0.38/0.57 ; 0.008 11% Process new row (176 calls)
% 0.38/0.57 ; 0.002 3% Resolution (76 calls)
% 0.38/0.57 ; 0.000 0% Paramodulation (38 calls)
% 0.38/0.57 ; 0.000 0% Factoring (1 call)
% 0.38/0.57 ; 0.003 4% Condensing (86 calls)
% 0.38/0.57 ; 0.002 3% Forward subsumption (86 calls)
% 0.38/0.57 ; 0.002 3% Backward subsumption (80 calls)
% 0.38/0.57 ; 0.000 0% Clause clause subsumption (35 calls)
% 0.38/0.57 ; 0.003 4% Forward simplification (175 calls)
% 0.38/0.57 ; 0.001 1% Backward simplification (140 calls)
% 0.38/0.57 ; 0.001 1% Ordering (57 calls)
% 0.38/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.57 ; 0.000 0% Purity testing (1 call)
% 0.38/0.57 ; 0.030 39% Other
% 0.38/0.57 ; 0.076 Total
% 0.38/0.57 ; 0.077 Real time
% 0.38/0.57 ;
% 0.38/0.57 ; Term-hash-array has 312 terms in all.
% 0.38/0.57 ; Feature-vector-row-index has 80 entries (80 at peak, 80 added, 0 deleted).
% 0.38/0.57 ; Feature-vector-row-index has 339 nodes (339 at peak, 339 added, 0 deleted).
% 0.38/0.57 ; Retrieved 34 possibly forward subsuming rows in 86 calls.
% 0.38/0.57 ; Retrieved 5 possibly backward subsumed rows in 80 calls.
% 0.38/0.57 ; Path-index has 317 entries (317 at peak, 320 added, 3 deleted).
% 0.38/0.57 ; Path-index has 1,038 nodes (1,038 at peak, 1,041 added, 3 deleted).
% 0.38/0.57 ; Trie-index has 317 entries (317 at peak, 320 added, 3 deleted).
% 0.38/0.57 ; Trie-index has 886 nodes (886 at peak, 893 added, 7 deleted).
% 0.38/0.57 ; Retrieved 86 generalization terms in 350 calls.
% 0.38/0.57 ; Retrieved 79 instance terms in 59 calls.
% 0.38/0.57 ; Retrieved 949 unifiable terms in 185 calls.
% 0.38/0.57 ;
% 0.38/0.57 ; The agenda of rows to process has 8 entries:
% 0.38/0.57 ; 1 with value 5 1 with value 10 1 with value 14
% 0.38/0.57 ; 4 with value 7 1 with value 12
% 0.38/0.57 ; The agenda of input rows to give has 78 entries:
% 0.38/0.57 ; 1 with value 10 3 with value 17 1 with value 27
% 0.38/0.57 ; 11 with value 11 4 with value 18 2 with value 30
% 0.38/0.57 ; 10 with value 12 1 with value 19 1 with value 31
% 0.38/0.57 ; 10 with value 13 4 with value 20 1 with value 34
% 0.38/0.57 ; 6 with value 14 3 with value 21 2 with value 35
% 0.38/0.57 ; 8 with value 15 4 with value 22 1 with value 50
% 0.38/0.57 ; 5 with value 16
% 0.38/0.57 ; The agenda of rows to give has 22 entries:
% 0.38/0.57 ; 1 with value (4 4) 6 with value (4 7) 4 with value (4 10)
% 0.38/0.57 ; 1 with value (4 5) 3 with value (4 8) 3 with value (4 13)
% 0.38/0.57 ; 1 with value (4 6) 3 with value (4 9)
% 0.38/0.57 Evaluation took:
% 0.38/0.57 0.078 seconds of real time
% 0.38/0.57 0.071957 seconds of user run time
% 0.38/0.57 0.005963 seconds of system run time
% 0.38/0.57 0 calls to %EVAL
% 0.38/0.57 0 page faults and
% 0.38/0.57 3,553,656 bytes consed.
% 0.38/0.57 :PROOF-FOUND
% 0.38/0.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T22:45:11
% 0.38/0.57 :PROOF-FOUND
% 0.38/0.57 *
%------------------------------------------------------------------------------