TSTP Solution File: SET199+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET199+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 05:08:17 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 8 unt; 1 nHn; 11 RR)
% Number of literals : 18 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( member(X,intersection(Y,Z))
| ~ member(X,Y)
| ~ member(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
cnf(3,axiom,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
cnf(4,axiom,
( subset(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
cnf(5,axiom,
( subset(X,Y)
| ~ member('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
cnf(10,negated_conjecture,
subset('SKOLEMAAAV3','SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersection_of_subsets) ).
cnf(11,negated_conjecture,
subset('SKOLEMAAAV3','SKOLEMAAAV5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersection_of_subsets) ).
cnf(12,negated_conjecture,
~ subset('SKOLEMAAAV3',intersection('SKOLEMAAAV4','SKOLEMAAAV5')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersection_of_subsets) ).
cnf(13,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV3',intersection('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[12,4]) ).
cnf(14,plain,
~ member('SKOLEMAAAV1'('SKOLEMAAAV3',intersection('SKOLEMAAAV4','SKOLEMAAAV5')),intersection('SKOLEMAAAV4','SKOLEMAAAV5')),
inference('UR-RESOLVE',[status(thm)],[5,12]) ).
cnf(25,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV3',intersection('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[3,13,10]) ).
cnf(26,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV3',intersection('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[3,13,11]) ).
cnf(33,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,26,25]),14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET199+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n014.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 Jul 10 02:02:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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/sandbox/benchmark/theBenchmark.p 2022-07-10T02:02:05
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-10T02:02:05
% 0.19/0.48
% 0.19/0.48 ; 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/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 ; 90 formulas have been input or derived (from 16 formulas).
% 0.19/0.50 ; 33 (37%) were retained. Of these,
% 0.19/0.50 ; 33 (100%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.001 3% Read assertion file (1 call)
% 0.19/0.50 ; 0.001 3% Assert (6 calls)
% 0.19/0.50 ; 0.000 0% Process new row (62 calls)
% 0.19/0.50 ; 0.005 14% Resolution (30 calls)
% 0.19/0.50 ; 0.000 0% Paramodulation (15 calls)
% 0.19/0.50 ; 0.000 0% Factoring (2 calls)
% 0.19/0.50 ; 0.002 6% Condensing (30 calls)
% 0.19/0.50 ; 0.001 3% Forward subsumption (30 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (20 calls)
% 0.19/0.50 ; 0.001 3% Clause clause subsumption (38 calls)
% 0.19/0.50 ; 0.001 3% Forward simplification (62 calls)
% 0.19/0.50 ; 0.001 3% Backward simplification (33 calls)
% 0.19/0.50 ; 0.000 0% Ordering (103 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 ; 0.022 63% Other
% 0.19/0.50 ; 0.035 Total
% 0.19/0.50 ; 0.037 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 64 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 65 nodes (65 at peak, 65 added, 0 deleted).
% 0.19/0.50 ; Retrieved 33 possibly forward subsuming rows in 30 calls.
% 0.19/0.50 ; Retrieved 5 possibly backward subsumed rows in 20 calls.
% 0.19/0.50 ; Path-index has 67 entries (67 at peak, 67 added, 0 deleted).
% 0.19/0.50 ; Path-index has 80 nodes (80 at peak, 80 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 67 entries (67 at peak, 67 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 116 nodes (116 at peak, 116 added, 0 deleted).
% 0.19/0.50 ; Retrieved 17 generalization terms in 69 calls.
% 0.19/0.50 ; Retrieved 15 instance terms in 12 calls.
% 0.19/0.50 ; Retrieved 589 unifiable terms in 144 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 11 entries:
% 0.19/0.50 ; 10 with value 15 1 with value 20
% 0.19/0.50 ; The agenda of rows to give has 17 entries:
% 0.19/0.50 ; 1 with value (4 13) 5 with value (4 19) 2 with value (4 26)
% 0.19/0.50 ; 1 with value (4 14) 1 with value (4 20) 2 with value (4 28)
% 0.19/0.50 ; 3 with value (4 15) 2 with value (4 21)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.038 seconds of real time
% 0.19/0.50 0.029195 seconds of user run time
% 0.19/0.50 0.008146 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 2,476,888 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T02:02:05
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------