%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET627+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 05:11:04 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 1 nHn; 6 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ member(X,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_defn) ).
cnf(2,axiom,
( ~ intersect(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_defn) ).
cnf(6,axiom,
( disjoint(X,Y)
| intersect(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjoint_defn) ).
cnf(9,negated_conjecture,
~ disjoint('SKOLEMAAAV3',empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th104) ).
cnf(10,plain,
intersect('SKOLEMAAAV3',empty_set),
inference('UR-RESOLVE',[status(thm)],[6,9]) ).
cnf(12,plain,
~ intersect(empty_set,X),
inference('UR-RESOLVE',[status(thm)],[2,1]) ).
cnf(13,plain,
$false,
inference('REWRITE',[status(thm)],[10,12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET627+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 14:44:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T14:44:29
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-10T14:44:29
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|intersect| ?X ?Y)) (|intersect| ?Y ?X)).
% 0.19/0.50 ; Declaring intersect to be commutative.
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox/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 ; 17 formulas have been input or derived (from 8 formulas).
% 0.19/0.50 ; 13 (76%) were retained. Of these,
% 0.19/0.50 ; 1 ( 8%) were simplified or subsumed later,
% 0.19/0.50 ; 12 (92%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.002 7% Read assertion file (1 call)
% 0.19/0.50 ; 0.000 0% Assert (6 calls)
% 0.19/0.50 ; 0.001 4% Process new row (14 calls)
% 0.19/0.50 ; 0.000 0% Resolution (14 calls)
% 0.19/0.50 ; 0.000 0% Paramodulation (7 calls)
% 0.19/0.50 ; 0.000 0% Factoring (2 calls)
% 0.19/0.50 ; 0.000 0% Condensing (7 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (7 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (7 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.19/0.50 ; 0.000 0% Forward simplification (14 calls)
% 0.19/0.50 ; 0.001 4% Backward simplification (13 calls)
% 0.19/0.50 ; 0.000 0% Ordering (4 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 ; 0.023 85% Other
% 0.19/0.50 ; 0.027 Total
% 0.19/0.50 ; 0.028 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 16 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 7 entries (7 at peak, 7 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.19/0.50 ; Retrieved 1 possibly forward subsuming row in 7 calls.
% 0.19/0.50 ; Retrieved 1 possibly backward subsumed row in 7 calls.
% 0.19/0.50 ; Path-index has 17 entries (18 at peak, 18 added, 1 deleted).
% 0.19/0.50 ; Path-index has 36 nodes (37 at peak, 37 added, 1 deleted).
% 0.19/0.50 ; Trie-index has 17 entries (18 at peak, 18 added, 1 deleted).
% 0.19/0.50 ; Trie-index has 32 nodes (34 at peak, 34 added, 2 deleted).
% 0.19/0.50 ; Retrieved 0 generalization terms in 7 calls.
% 0.19/0.50 ; Retrieved 6 instance terms in 5 calls.
% 0.19/0.50 ; Retrieved 45 unifiable terms in 29 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 2 entries:
% 0.19/0.50 ; 2 with value 12
% 0.19/0.50 ; The agenda of input rows to give has 2 entries:
% 0.19/0.50 ; 1 with value 11 1 with value 12
% 0.19/0.50 ; The agenda of rows to give has 2 entries:
% 0.19/0.50 ; 1 with value (4 4) 1 with value (4 5)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.029 seconds of real time
% 0.19/0.50 0.023844 seconds of user run time
% 0.19/0.50 0.004756 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 1,576,480 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T14:44:29
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------