%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET201+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 05:08:19 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 10 unt; 1 nHn; 14 RR)
% Number of literals : 22 ( 0 equ; 8 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
cnf(2,axiom,
( member(X,intersection(Y,Z))
| ~ member(X,Y)
| ~ member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
cnf(3,axiom,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(4,axiom,
( subset(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(5,axiom,
( subset(X,Y)
| ~ member('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(10,negated_conjecture,
subset('SKOLEMAAAV3','SKOLEMAAAV4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th41) ).
cnf(11,negated_conjecture,
subset('SKOLEMAAAV5','SKOLEMAAAV6'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th41) ).
cnf(12,negated_conjecture,
~ subset(intersection('SKOLEMAAAV3','SKOLEMAAAV5'),intersection('SKOLEMAAAV4','SKOLEMAAAV6')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th41) ).
cnf(13,plain,
member('SKOLEMAAAV1'(intersection('SKOLEMAAAV3','SKOLEMAAAV5'),intersection('SKOLEMAAAV4','SKOLEMAAAV6')),intersection('SKOLEMAAAV3','SKOLEMAAAV5')),
inference('HYPERRESOLVE',[status(thm)],[12,4]) ).
cnf(14,plain,
~ member('SKOLEMAAAV1'(intersection('SKOLEMAAAV3','SKOLEMAAAV5'),intersection('SKOLEMAAAV4','SKOLEMAAAV6')),intersection('SKOLEMAAAV4','SKOLEMAAAV6')),
inference('UR-RESOLVE',[status(thm)],[5,12]) ).
cnf(25,plain,
member('SKOLEMAAAV1'(intersection('SKOLEMAAAV3','SKOLEMAAAV5'),intersection('SKOLEMAAAV4','SKOLEMAAAV6')),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[1,13]) ).
cnf(26,plain,
member('SKOLEMAAAV1'(intersection('SKOLEMAAAV3','SKOLEMAAAV5'),intersection('SKOLEMAAAV4','SKOLEMAAAV6')),'SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[1,13]) ).
cnf(29,plain,
member('SKOLEMAAAV1'(intersection('SKOLEMAAAV3','SKOLEMAAAV5'),intersection('SKOLEMAAAV4','SKOLEMAAAV6')),'SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[3,25,10]) ).
cnf(33,plain,
member('SKOLEMAAAV1'(intersection('SKOLEMAAAV3','SKOLEMAAAV5'),intersection('SKOLEMAAAV4','SKOLEMAAAV6')),'SKOLEMAAAV6'),
inference('HYPERRESOLVE',[status(thm)],[3,26,11]) ).
cnf(55,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[2,29,14]),33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET201+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n011.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 18:39:26 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 *
% 0.19/0.47 ((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)
% 0.19/0.48 (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 2022-07-09T18:39:26
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-09T18:39:26
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.19/0.52 ; Declaring intersection to be commutative.
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.52 ; 156 formulas have been input or derived (from 25 formulas).
% 0.19/0.52 ; 55 (35%) were retained. Of these,
% 0.19/0.52 ; 55 (100%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds excluding printing time:
% 0.19/0.52 ; 0.002 5% Read assertion file (1 call)
% 0.19/0.52 ; 0.001 2% Assert (6 calls)
% 0.19/0.52 ; 0.006 14% Process new row (100 calls)
% 0.19/0.52 ; 0.007 17% Resolution (48 calls)
% 0.19/0.52 ; 0.001 2% Paramodulation (24 calls)
% 0.19/0.52 ; 0.000 0% Factoring (2 calls)
% 0.19/0.52 ; 0.000 0% Condensing (33 calls)
% 0.19/0.52 ; 0.000 0% Forward subsumption (33 calls)
% 0.19/0.52 ; 0.000 0% Backward subsumption (23 calls)
% 0.19/0.52 ; 0.001 2% Clause clause subsumption (40 calls)
% 0.19/0.52 ; 0.002 5% Forward simplification (100 calls)
% 0.19/0.52 ; 0.000 0% Backward simplification (55 calls)
% 0.19/0.52 ; 0.000 0% Ordering (105 calls)
% 0.19/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.52 ; 0.000 0% Purity testing (1 call)
% 0.19/0.52 ; 0.022 52% Other
% 0.19/0.52 ; 0.042 Total
% 0.19/0.52 ; 0.044 Real time
% 0.19/0.52 ;
% 0.19/0.52 ; Term-hash-array has 97 terms in all.
% 0.19/0.52 ; Feature-vector-row-index has 23 entries (23 at peak, 23 added, 0 deleted).
% 0.19/0.52 ; Feature-vector-row-index has 108 nodes (108 at peak, 108 added, 0 deleted).
% 0.19/0.52 ; Retrieved 33 possibly forward subsuming rows in 33 calls.
% 0.19/0.52 ; Retrieved 7 possibly backward subsumed rows in 23 calls.
% 0.19/0.52 ; Path-index has 101 entries (101 at peak, 101 added, 0 deleted).
% 0.19/0.52 ; Path-index has 115 nodes (115 at peak, 115 added, 0 deleted).
% 0.19/0.52 ; Trie-index has 101 entries (101 at peak, 101 added, 0 deleted).
% 0.19/0.52 ; Trie-index has 224 nodes (224 at peak, 224 added, 0 deleted).
% 0.19/0.52 ; Retrieved 36 generalization terms in 109 calls.
% 0.19/0.52 ; Retrieved 34 instance terms in 31 calls.
% 0.19/0.52 ; Retrieved 1,323 unifiable terms in 312 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of rows to process has 15 entries:
% 0.19/0.52 ; 1 with value 16 1 with value 20 1 with value 23
% 0.19/0.52 ; 12 with value 18
% 0.19/0.52 ; The agenda of rows to give has 30 entries:
% 0.19/0.52 ; 2 with value (4 11) 1 with value (4 18) 4 with value (4 22)
% 0.19/0.52 ; 3 with value (4 15) 6 with value (4 19) 3 with value (4 26)
% 0.19/0.52 ; 2 with value (4 16) 1 with value (4 20) 2 with value (4 28)
% 0.19/0.52 ; 4 with value (4 17) 2 with value (4 21)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.044 seconds of real time
% 0.19/0.52 0.037822 seconds of user run time
% 0.19/0.52 0.006472 seconds of system run time
% 0.19/0.52 0 calls to %EVAL
% 0.19/0.52 0 page faults and
% 0.19/0.52 3,062,400 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T18:39:26
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------