TSTP Solution File: SET629+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET629+3 : TPTP v8.1.0. Released v2.2.0.
% 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 05:11:05 EDT 2022
% Result : Theorem 0.40s 0.62s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 7 unt; 1 nHn; 11 RR)
% Number of literals : 17 ( 0 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
cnf(4,axiom,
( ~ member(X,difference(Y,Z))
| ~ member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
cnf(6,axiom,
( ~ intersect(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersect_defn) ).
cnf(7,axiom,
( ~ intersect(X,Y)
| member('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersect_defn) ).
cnf(10,axiom,
( disjoint(X,Y)
| intersect(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjoint_defn) ).
cnf(14,negated_conjecture,
~ disjoint(intersection('SKOLEMAAAV3','SKOLEMAAAV4'),difference('SKOLEMAAAV3','SKOLEMAAAV4')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_and_difference_disjoint) ).
cnf(15,plain,
intersect(intersection('SKOLEMAAAV3','SKOLEMAAAV4'),difference('SKOLEMAAAV3','SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[10,14]) ).
cnf(31,plain,
member('SKOLEMAAAV1'(intersection('SKOLEMAAAV3','SKOLEMAAAV4'),difference('SKOLEMAAAV3','SKOLEMAAAV4')),difference('SKOLEMAAAV3','SKOLEMAAAV4')),
inference('HYPERRESOLVE',[status(thm)],[7,15]) ).
cnf(33,plain,
member('SKOLEMAAAV1'(intersection('SKOLEMAAAV3','SKOLEMAAAV4'),difference('SKOLEMAAAV3','SKOLEMAAAV4')),intersection('SKOLEMAAAV3','SKOLEMAAAV4')),
inference('HYPERRESOLVE',[status(thm)],[6,15]) ).
cnf(170,plain,
~ member('SKOLEMAAAV1'(intersection('SKOLEMAAAV3','SKOLEMAAAV4'),difference('SKOLEMAAAV3','SKOLEMAAAV4')),'SKOLEMAAAV4'),
inference('UR-RESOLVE',[status(thm)],[4,31]) ).
cnf(249,plain,
~ member('SKOLEMAAAV1'(intersection('SKOLEMAAAV3','SKOLEMAAAV4'),difference('SKOLEMAAAV3','SKOLEMAAAV4')),intersection('SKOLEMAAAV4',X)),
inference('UR-RESOLVE',[status(thm)],[1,170]) ).
cnf(250,plain,
$false,
inference('REWRITE',[status(thm)],[33,249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET629+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 10:11:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T10:11:11
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-10T10:11:11
% 0.18/0.48
% 0.18/0.48 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.18/0.48 ; Recognized commutativity assertion (OR (NOT (|intersect| ?X ?Y)) (|intersect| ?Y ?X)).
% 0.18/0.48 ; Declaring intersection to be commutative.
% 0.40/0.62 ; Declaring intersect to be commutative.
% 0.40/0.62
% 0.40/0.62 #||
% 0.40/0.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.62 % SZS output start Refutation
% See solution above
% 0.40/0.62 ||#
% 0.40/0.62
% 0.40/0.62 ; Summary of computation:
% 0.40/0.62 ; 1033 formulas have been input or derived (from 65 formulas).
% 0.40/0.62 ; 250 (24%) were retained. Of these,
% 0.40/0.62 ; 1 ( 0%) were simplified or subsumed later,
% 0.40/0.62 ; 249 (100%) are still being kept.
% 0.40/0.62 ;
% 0.40/0.62 ; Run time in seconds excluding printing time:
% 0.40/0.62 ; 0.002 1% Read assertion file (1 call)
% 0.40/0.62 ; 0.001 1% Assert (8 calls)
% 0.40/0.62 ; 0.029 19% Process new row (864 calls)
% 0.40/0.62 ; 0.025 17% Resolution (128 calls)
% 0.40/0.62 ; 0.000 0% Paramodulation (64 calls)
% 0.40/0.62 ; 0.000 0% Factoring (25 calls)
% 0.40/0.62 ; 0.013 9% Condensing (425 calls)
% 0.40/0.62 ; 0.020 13% Forward subsumption (425 calls)
% 0.40/0.62 ; 0.007 5% Backward subsumption (136 calls)
% 0.40/0.62 ; 0.013 9% Clause clause subsumption (3,818 calls)
% 0.40/0.62 ; 0.010 7% Forward simplification (864 calls)
% 0.40/0.62 ; 0.000 0% Backward simplification (250 calls)
% 0.40/0.62 ; 0.003 2% Ordering (403 calls)
% 0.40/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.62 ; 0.000 0% Purity testing (1 call)
% 0.40/0.62 ; 0.027 18% Other
% 0.40/0.62 ; 0.150 Total
% 0.40/0.62 ; 0.155 Real time
% 0.40/0.62 ;
% 0.40/0.62 ; Term-hash-array has 351 terms in all.
% 0.40/0.62 ; Feature-vector-row-index has 136 entries (136 at peak, 136 added, 0 deleted).
% 0.40/0.62 ; Feature-vector-row-index has 118 nodes (118 at peak, 118 added, 0 deleted).
% 0.40/0.62 ; Retrieved 7,803 possibly forward subsuming rows in 425 calls.
% 0.40/0.62 ; Retrieved 1,052 possibly backward subsumed rows in 136 calls.
% 0.40/0.62 ; Path-index has 352 entries (353 at peak, 353 added, 1 deleted).
% 0.40/0.62 ; Path-index has 281 nodes (281 at peak, 281 added, 0 deleted).
% 0.40/0.62 ; Trie-index has 352 entries (353 at peak, 353 added, 1 deleted).
% 0.40/0.62 ; Trie-index has 746 nodes (747 at peak, 747 added, 1 deleted).
% 0.40/0.62 ; Retrieved 444 generalization terms in 1,513 calls.
% 0.40/0.62 ; Retrieved 192 instance terms in 113 calls.
% 0.40/0.62 ; Retrieved 9,038 unifiable terms in 816 calls.
% 0.40/0.62 ;
% 0.40/0.62 ; The agenda of rows to process has 2 entries:
% 0.40/0.62 ; 1 with value 18 1 with value 20
% 0.40/0.62 ; The agenda of rows to give has 184 entries:
% 0.40/0.62 ; 1 with value (4 8) 27 with value (4 19) 3 with value (4 25)
% 0.40/0.62 ; 1 with value (4 11) 20 with value (4 20) 12 with value (4 26)
% 0.40/0.62 ; 8 with value (4 15) 21 with value (4 21) 6 with value (4 28)
% 0.40/0.62 ; 13 with value (4 16) 13 with value (4 22) 1 with value (4 30)
% 0.40/0.62 ; 9 with value (4 17) 10 with value (4 23) 1 with value (4 31)
% 0.40/0.62 ; 34 with value (4 18) 4 with value (4 24)
% 0.40/0.62 Evaluation took:
% 0.40/0.62 0.155 seconds of real time
% 0.40/0.62 0.127585 seconds of user run time
% 0.40/0.62 0.025306 seconds of system run time
% 0.40/0.62 0 calls to %EVAL
% 0.40/0.62 0 page faults and
% 0.40/0.62 8,374,328 bytes consed.
% 0.40/0.62 :PROOF-FOUND
% 0.40/0.62 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T10:11:11
% 0.40/0.62 :PROOF-FOUND
% 0.40/0.62 *
%------------------------------------------------------------------------------