%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET639+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 05:11:12 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% 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 ( 3 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; 0-2 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ subset(X,Y)
| intersection(X,Y) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_intersection) ).
cnf(16,negated_conjecture,
subset('SKOLEMAAAV4','SKOLEMAAAV5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th121) ).
cnf(17,negated_conjecture,
intersection('SKOLEMAAAV5','SKOLEMAAAV4') = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th121) ).
cnf(18,negated_conjecture,
'SKOLEMAAAV4' != empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th121) ).
cnf(20,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,16]),18,17,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET639+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 21:06:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T21:06:07
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-09T21:06:07
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.19/0.51 ; Declaring intersection to be commutative.
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 35 formulas have been input or derived (from 10 formulas).
% 0.19/0.51 ; 20 (57%) were retained. Of these,
% 0.19/0.51 ; 20 (100%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.003 10% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 3% Assert (10 calls)
% 0.19/0.51 ; 0.001 3% Process new row (30 calls)
% 0.19/0.51 ; 0.001 3% Resolution (18 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (9 calls)
% 0.19/0.51 ; 0.000 0% Factoring (1 call)
% 0.19/0.51 ; 0.001 3% Condensing (16 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (16 calls)
% 0.19/0.51 ; 0.001 3% Backward subsumption (13 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (3 calls)
% 0.19/0.51 ; 0.000 0% Forward simplification (30 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (20 calls)
% 0.19/0.51 ; 0.000 0% Ordering (13 calls)
% 0.19/0.51 ; 0.001 3% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.021 70% Other
% 0.19/0.51 ; 0.030 Total
% 0.19/0.51 ; 0.032 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 28 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 33 nodes (33 at peak, 33 added, 0 deleted).
% 0.19/0.51 ; Retrieved 3 possibly forward subsuming rows in 16 calls.
% 0.19/0.51 ; Retrieved 0 possibly backward subsumed rows in 13 calls.
% 0.19/0.51 ; Path-index has 31 entries (31 at peak, 31 added, 0 deleted).
% 0.19/0.51 ; Path-index has 58 nodes (58 at peak, 58 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 31 entries (31 at peak, 31 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 55 nodes (55 at peak, 55 added, 0 deleted).
% 0.19/0.51 ; Retrieved 16 generalization terms in 38 calls.
% 0.19/0.51 ; Retrieved 8 instance terms in 6 calls.
% 0.19/0.51 ; Retrieved 88 unifiable terms in 42 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 3 entries:
% 0.19/0.51 ; 3 with value 8
% 0.19/0.51 ; The agenda of input rows to give has 9 entries:
% 0.19/0.51 ; 3 with value 11 1 with value 15 2 with value 18
% 0.19/0.51 ; 3 with value 12
% 0.19/0.51 ; The agenda of rows to give has 1 entry:
% 0.19/0.51 ; 1 with value (4 4)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.032 seconds of real time
% 0.19/0.51 0.028157 seconds of user run time
% 0.19/0.51 0.00403 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 1,617,536 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T21:06:07
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------