%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU134+2 : TPTP v8.1.0. Released v3.3.0.
% 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 14:19:22 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 3 unt; 1 nHn; 7 RR)
% Number of literals : 11 ( 5 equ; 5 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 : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(31,axiom,
( set_difference(X,Y) != empty_set
| subset(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l32_xboole_1) ).
cnf(32,axiom,
( set_difference(X,Y) = empty_set
| ~ subset(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l32_xboole_1) ).
cnf(49,negated_conjecture,
( set_difference('SKOLEMAAAV9','SKOLEMAAAV10') != empty_set
| ~ subset('SKOLEMAAAV9','SKOLEMAAAV10') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
cnf(50,negated_conjecture,
( set_difference('SKOLEMAAAV9','SKOLEMAAAV10') = empty_set
| subset('SKOLEMAAAV9','SKOLEMAAAV10') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
cnf(83,plain,
set_difference('SKOLEMAAAV9','SKOLEMAAAV10') = empty_set,
inference('HYPERRESOLVE',[status(thm)],[32,50]) ).
cnf(84,plain,
~ subset('SKOLEMAAAV9','SKOLEMAAAV10'),
inference('REWRITE',[status(thm)],[49,83,theory(equality)]) ).
cnf(87,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[31,84]),83,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU134+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.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 : Sun Jun 19 07:51:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T07:51:25
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-19T07:51:25
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.50 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.50 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.20/0.50 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.20/0.50 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.20/0.50 ; Declaring set_union2 to be commutative.
% 0.20/0.50 ; Declaring set_intersection2 to be commutative.
% 0.20/0.54 ; Declaring disjoint to be commutative.
% 0.20/0.54
% 0.20/0.54 #||
% 0.20/0.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.54 % SZS output start Refutation
% See solution above
% 0.20/0.54 ||#
% 0.20/0.54
% 0.20/0.54 ; Summary of computation:
% 0.20/0.54 ; 207 formulas have been input or derived (from 35 formulas).
% 0.20/0.54 ; 87 (42%) were retained. Of these,
% 0.20/0.54 ; 3 ( 3%) were simplified or subsumed later,
% 0.20/0.54 ; 84 (97%) are still being kept.
% 0.20/0.54 ;
% 0.20/0.54 ; Run time in seconds excluding printing time:
% 0.20/0.54 ; 0.009 16% Read assertion file (1 call)
% 0.20/0.54 ; 0.003 5% Assert (47 calls)
% 0.20/0.54 ; 0.005 9% Process new row (195 calls)
% 0.20/0.54 ; 0.005 9% Resolution (68 calls)
% 0.20/0.54 ; 0.000 0% Paramodulation (34 calls)
% 0.20/0.54 ; 0.000 0% Factoring (3 calls)
% 0.20/0.54 ; 0.002 4% Condensing (59 calls)
% 0.20/0.54 ; 0.001 2% Forward subsumption (59 calls)
% 0.20/0.54 ; 0.001 2% Backward subsumption (54 calls)
% 0.20/0.54 ; 0.000 0% Clause clause subsumption (27 calls)
% 0.20/0.54 ; 0.004 7% Forward simplification (192 calls)
% 0.20/0.54 ; 0.002 4% Backward simplification (87 calls)
% 0.20/0.54 ; 0.001 2% Ordering (110 calls)
% 0.20/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.54 ; 0.000 0% Purity testing (1 call)
% 0.20/0.54 ; 0.022 40% Other
% 0.20/0.54 ; 0.055 Total
% 0.20/0.54 ; 0.056 Real time
% 0.20/0.54 ;
% 0.20/0.54 ; Term-hash-array has 121 terms in all.
% 0.20/0.54 ; Feature-vector-row-index has 52 entries (54 at peak, 54 added, 2 deleted).
% 0.20/0.54 ; Feature-vector-row-index has 109 nodes (129 at peak, 129 added, 20 deleted).
% 0.20/0.54 ; Retrieved 46 possibly forward subsuming rows in 59 calls.
% 0.20/0.54 ; Retrieved 12 possibly backward subsumed rows in 54 calls.
% 0.20/0.54 ; Path-index has 125 entries (125 at peak, 127 added, 2 deleted).
% 0.20/0.54 ; Path-index has 235 nodes (235 at peak, 238 added, 3 deleted).
% 0.20/0.54 ; Trie-index has 125 entries (125 at peak, 127 added, 2 deleted).
% 0.20/0.54 ; Trie-index has 269 nodes (269 at peak, 272 added, 3 deleted).
% 0.20/0.54 ; Retrieved 179 generalization terms in 192 calls.
% 0.20/0.54 ; Retrieved 45 instance terms in 32 calls.
% 0.20/0.54 ; Retrieved 1,381 unifiable terms in 194 calls.
% 0.20/0.54 ;
% 0.20/0.54 ; The agenda of rows to process has 2 entries:
% 0.20/0.54 ; 2 with value 8
% 0.20/0.54 ; The agenda of input rows to give has 30 entries:
% 0.20/0.54 ; 3 with value 11 6 with value 15 6 with value 23
% 0.20/0.54 ; 4 with value 12 2 with value 18 3 with value 31
% 0.20/0.54 ; 3 with value 13 3 with value 19
% 0.20/0.54 ; The agenda of rows to give has 22 entries:
% 0.20/0.54 ; 4 with value (4 5) 1 with value (4 9) 3 with value (4 13)
% 0.20/0.54 ; 1 with value (4 7) 6 with value (4 11) 3 with value (4 15)
% 0.20/0.54 ; 3 with value (4 8) 1 with value (4 12)
% 0.20/0.54 Evaluation took:
% 0.20/0.54 0.056 seconds of real time
% 0.20/0.54 0.052206 seconds of user run time
% 0.20/0.54 0.004459 seconds of system run time
% 0.20/0.54 0 calls to %EVAL
% 0.20/0.54 0 page faults and
% 0.20/0.54 2,759,512 bytes consed.
% 0.20/0.54 :PROOF-FOUND
% 0.20/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T07:51:25
% 0.20/0.54 :PROOF-FOUND
% 0.20/0.54 *
%------------------------------------------------------------------------------