%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET596+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 05:10:40 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 10 ( 3 equ; 4 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ subset(X,empty_set)
| X = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_of_empty_set_is_empty_set) ).
cnf(2,axiom,
( ~ subset(X,Y)
| subset(intersection(X,Z),intersection(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_of_subset) ).
cnf(17,negated_conjecture,
subset('SKOLEMAAAU4','SKOLEMAAAU5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th55) ).
cnf(18,negated_conjecture,
intersection('SKOLEMAAAU5','SKOLEMAAAU6') = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th55) ).
cnf(19,negated_conjecture,
intersection('SKOLEMAAAU4','SKOLEMAAAU6') != empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th55) ).
cnf(20,plain,
~ subset(intersection('SKOLEMAAAU4','SKOLEMAAAU6'),empty_set),
inference('UR-RESOLVE',[status(thm)],[1,19]) ).
cnf(30,plain,
subset(intersection('SKOLEMAAAU4',X),intersection('SKOLEMAAAU5',X)),
inference('HYPERRESOLVE',[status(thm)],[2,17]) ).
cnf(53,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[30,18,theory(equality)]),20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET596+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n023.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 19:39:40 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 2022-07-10T19:39:40
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-10T19:39:40
% 0.19/0.47
% 0.19/0.47 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.19/0.50 ; Declaring intersection to be commutative.
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 176 formulas have been input or derived (from 27 formulas).
% 0.19/0.50 ; 53 (30%) were retained. Of these,
% 0.19/0.50 ; 4 ( 8%) were simplified or subsumed later,
% 0.19/0.50 ; 49 (92%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds:
% 0.19/0.50 ; 0.003 7% Read assertion file (1 call)
% 0.19/0.50 ; 0.001 2% Assert (11 calls)
% 0.19/0.50 ; 0.001 2% Process new row (138 calls)
% 0.19/0.50 ; 0.005 11% Resolution (52 calls)
% 0.19/0.50 ; 0.000 0% Paramodulation (26 calls)
% 0.19/0.50 ; 0.000 0% Factoring (4 calls)
% 0.19/0.50 ; 0.001 2% Condensing (64 calls)
% 0.19/0.50 ; 0.002 4% Forward subsumption (64 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (35 calls)
% 0.19/0.50 ; 0.002 4% Clause clause subsumption (73 calls)
% 0.19/0.50 ; 0.002 4% Forward simplification (134 calls)
% 0.19/0.50 ; 0.001 2% Backward simplification (53 calls)
% 0.19/0.50 ; 0.001 2% Ordering (149 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.026 58% Other
% 0.19/0.50 ; 0.045 Total
% 0.19/0.50 ; 0.045 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 100 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 35 entries (35 at peak, 35 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 102 nodes (102 at peak, 102 added, 0 deleted).
% 0.19/0.50 ; Retrieved 79 possibly forward subsuming rows in 64 calls.
% 0.19/0.50 ; Retrieved 8 possibly backward subsumed rows in 35 calls.
% 0.19/0.50 ; Path-index has 99 entries (99 at peak, 104 added, 5 deleted).
% 0.19/0.50 ; Path-index has 122 nodes (124 at peak, 125 added, 3 deleted).
% 0.19/0.50 ; Trie-index has 99 entries (99 at peak, 104 added, 5 deleted).
% 0.19/0.50 ; Trie-index has 190 nodes (190 at peak, 200 added, 10 deleted).
% 0.19/0.50 ; Retrieved 92 generalization terms in 275 calls.
% 0.19/0.50 ; Retrieved 23 instance terms in 17 calls.
% 0.19/0.50 ; Retrieved 1,407 unifiable terms in 228 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 7 entries:
% 0.19/0.50 ; 2 with value 10 1 with value 19 2 with value 31
% 0.19/0.50 ; 1 with value 16 1 with value 25
% 0.19/0.50 ; The agenda of rows to give has 23 entries:
% 0.19/0.50 ; 5 with value (4 12) 2 with value (4 17) 2 with value (4 21)
% 0.19/0.50 ; 4 with value (4 13) 1 with value (4 18) 2 with value (4 26)
% 0.19/0.50 ; 1 with value (4 14) 3 with value (4 19) 2 with value (4 28)
% 0.19/0.50 ; 1 with value (4 16)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.045 seconds of real time
% 0.19/0.50 0.037592 seconds of user run time
% 0.19/0.50 0.008211 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 2,464,496 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T19:39:40
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------