%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET079-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 05:07:00 EDT 2022
% Result : Unsatisfiable 0.38s 0.54s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 1 equ; 2 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 : 2 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_of_null_class,axiom,
~ member(X,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).
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(prove_corollary_to_set_in_its_singleton_1,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_set_in_its_singleton_1) ).
cnf(prove_corollary_to_set_in_its_singleton_2,negated_conjecture,
singleton(x) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_set_in_its_singleton_2) ).
cnf(157,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[set_in_its_singleton,prove_corollary_to_set_in_its_singleton_1]),existence_of_null_class,prove_corollary_to_set_in_its_singleton_2,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET079-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n026.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 : Sat Jul 9 17:36:41 EDT 2022
% 0.13/0.33 % 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 2022-07-09T17:36:41
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-09T17:36:41
% 0.19/0.50
% 0.19/0.50 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.38/0.54 ; Declaring unordered_pair to be commutative.
% 0.38/0.54
% 0.38/0.54 #||
% 0.38/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.54 % SZS output start Refutation
% See solution above
% 0.38/0.54 ||#
% 0.38/0.54
% 0.38/0.54 ; Summary of computation:
% 0.38/0.54 ; 223 formulas have been input or derived (from 40 formulas).
% 0.38/0.54 ; 157 (70%) were retained. Of these,
% 0.38/0.54 ; 14 ( 9%) were simplified or subsumed later,
% 0.38/0.54 ; 143 (91%) are still being kept.
% 0.38/0.54 ;
% 0.38/0.54 ; Run time in seconds excluding printing time:
% 0.38/0.54 ; 0.022 29% Read assertion file (1 call)
% 0.38/0.54 ; 0.004 5% Assert (124 calls)
% 0.38/0.54 ; 0.014 19% Process new row (190 calls)
% 0.38/0.54 ; 0.001 1% Resolution (78 calls)
% 0.38/0.54 ; 0.001 1% Paramodulation (39 calls)
% 0.38/0.54 ; 0.000 0% Factoring (1 call)
% 0.38/0.54 ; 0.001 1% Condensing (85 calls)
% 0.38/0.54 ; 0.001 1% Forward subsumption (85 calls)
% 0.38/0.54 ; 0.002 3% Backward subsumption (79 calls)
% 0.38/0.54 ; 0.000 0% Clause clause subsumption (35 calls)
% 0.38/0.54 ; 0.005 7% Forward simplification (189 calls)
% 0.38/0.54 ; 0.000 0% Backward simplification (145 calls)
% 0.38/0.54 ; 0.001 1% Ordering (64 calls)
% 0.38/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.54 ; 0.000 0% Purity testing (1 call)
% 0.38/0.54 ; 0.023 31% Other
% 0.38/0.54 ; 0.075 Total
% 0.38/0.54 ; 0.077 Real time
% 0.38/0.54 ;
% 0.38/0.54 ; Term-hash-array has 322 terms in all.
% 0.38/0.54 ; Feature-vector-row-index has 79 entries (79 at peak, 79 added, 0 deleted).
% 0.38/0.54 ; Feature-vector-row-index has 338 nodes (338 at peak, 338 added, 0 deleted).
% 0.38/0.54 ; Retrieved 34 possibly forward subsuming rows in 85 calls.
% 0.38/0.54 ; Retrieved 5 possibly backward subsumed rows in 79 calls.
% 0.38/0.54 ; Path-index has 328 entries (328 at peak, 331 added, 3 deleted).
% 0.38/0.54 ; Path-index has 1,048 nodes (1,048 at peak, 1,051 added, 3 deleted).
% 0.38/0.54 ; Trie-index has 328 entries (328 at peak, 331 added, 3 deleted).
% 0.38/0.54 ; Trie-index has 903 nodes (903 at peak, 910 added, 7 deleted).
% 0.38/0.54 ; Retrieved 101 generalization terms in 386 calls.
% 0.38/0.54 ; Retrieved 85 instance terms in 65 calls.
% 0.38/0.54 ; Retrieved 999 unifiable terms in 195 calls.
% 0.38/0.54 ;
% 0.38/0.54 ; The agenda of rows to process has 6 entries:
% 0.38/0.54 ; 3 with value 7 1 with value 12 1 with value 14
% 0.38/0.54 ; 1 with value 10
% 0.38/0.54 ; The agenda of input rows to give has 77 entries:
% 0.38/0.54 ; 11 with value 11 3 with value 17 1 with value 27
% 0.38/0.54 ; 10 with value 12 4 with value 18 2 with value 30
% 0.38/0.54 ; 10 with value 13 1 with value 19 1 with value 31
% 0.38/0.54 ; 6 with value 14 4 with value 20 1 with value 34
% 0.38/0.54 ; 8 with value 15 3 with value 21 2 with value 35
% 0.38/0.54 ; 5 with value 16 4 with value 22 1 with value 50
% 0.38/0.54 ; The agenda of rows to give has 27 entries:
% 0.38/0.54 ; 1 with value (4 4) 4 with value (4 8) 4 with value (4 10)
% 0.38/0.54 ; 1 with value (4 5) 3 with value (4 9) 3 with value (4 13)
% 0.38/0.54 ; 11 with value (4 7)
% 0.38/0.54 Evaluation took:
% 0.38/0.54 0.078 seconds of real time
% 0.38/0.54 0.06913 seconds of user run time
% 0.38/0.54 0.008154 seconds of system run time
% 0.38/0.54 0 calls to %EVAL
% 0.38/0.54 0 page faults and
% 0.38/0.54 3,644,360 bytes consed.
% 0.38/0.54 :PROOF-FOUND
% 0.38/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T17:36:41
% 0.38/0.54 :PROOF-FOUND
% 0.38/0.54 *
%------------------------------------------------------------------------------