TSTP Solution File: SET630+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET630+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 05:11:06 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 7 unt; 2 nHn; 7 RR)
% Number of literals : 14 ( 1 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
symmetric_difference(X,Y) = union(difference(X,Y),difference(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_difference_defn) ).
cnf(2,axiom,
( ~ intersect(X,union(Y,Z))
| intersect(X,Y)
| intersect(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_with_union) ).
cnf(4,axiom,
disjoint(intersection(X,Y),difference(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_and_union_disjoint) ).
cnf(10,axiom,
( ~ disjoint(X,Y)
| ~ intersect(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjoint_defn) ).
cnf(11,axiom,
( disjoint(X,Y)
| intersect(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjoint_defn) ).
cnf(15,negated_conjecture,
~ disjoint(intersection('SKOLEMAAAV3','SKOLEMAAAV4'),symmetric_difference('SKOLEMAAAV3','SKOLEMAAAV4')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersection_and_symmetric_difference_disjoint) ).
cnf(17,plain,
~ intersect(intersection(X,Y),difference(X,Y)),
inference('UR-RESOLVE',[status(thm)],[10,4]) ).
cnf(18,plain,
intersect(intersection('SKOLEMAAAV3','SKOLEMAAAV4'),symmetric_difference('SKOLEMAAAV3','SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[11,15]) ).
cnf(35,plain,
~ intersect(intersection(X,Y),symmetric_difference(X,Y)),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[2,17,17]),1,theory(equality)]) ).
cnf(36,plain,
$false,
inference('REWRITE',[status(thm)],[18,35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET630+3 : TPTP v8.1.0. Released v2.2.0.
% 0.14/0.13 % Command : run-snark %s %d
% 0.14/0.33 % Computer : n027.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 19:17:48 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T19:17:48
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-10T19:17:48
% 0.20/0.48
% 0.20/0.48 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.20/0.48 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.20/0.48 ; Recognized commutativity assertion (= (|symmetric_difference| ?X ?Y) (|symmetric_difference| ?Y ?X)).
% 0.20/0.48 ; Recognized commutativity assertion (OR (NOT (|intersect| ?X ?Y)) (|intersect| ?Y ?X)).
% 0.20/0.48 ; Declaring symmetric_difference to be commutative.
% 0.20/0.48 ; Declaring union to be commutative.
% 0.20/0.48 ; Declaring intersection to be commutative.
% 0.20/0.50 ; Declaring intersect to be commutative.
% 0.20/0.50
% 0.20/0.50 #||
% 0.20/0.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 85 formulas have been input or derived (from 18 formulas).
% 0.20/0.51 ; 36 (42%) were retained. Of these,
% 0.20/0.51 ; 1 ( 3%) were simplified or subsumed later,
% 0.20/0.51 ; 35 (97%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.002 5% Read assertion file (1 call)
% 0.20/0.51 ; 0.002 5% Assert (12 calls)
% 0.20/0.51 ; 0.003 8% Process new row (68 calls)
% 0.20/0.51 ; 0.001 3% Resolution (34 calls)
% 0.20/0.51 ; 0.001 3% Paramodulation (17 calls)
% 0.20/0.51 ; 0.000 0% Factoring (2 calls)
% 0.20/0.51 ; 0.001 3% Condensing (41 calls)
% 0.20/0.51 ; 0.001 3% Forward subsumption (41 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (27 calls)
% 0.20/0.51 ; 0.000 0% Clause clause subsumption (58 calls)
% 0.20/0.51 ; 0.003 8% Forward simplification (68 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (36 calls)
% 0.20/0.51 ; 0.001 3% Ordering (96 calls)
% 0.20/0.51 ; 0.001 3% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.021 57% Other
% 0.20/0.51 ; 0.037 Total
% 0.20/0.51 ; 0.039 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 63 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 27 entries (27 at peak, 27 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 44 nodes (44 at peak, 44 added, 0 deleted).
% 0.20/0.51 ; Retrieved 49 possibly forward subsuming rows in 41 calls.
% 0.20/0.51 ; Retrieved 12 possibly backward subsumed rows in 27 calls.
% 0.20/0.51 ; Path-index has 64 entries (65 at peak, 65 added, 1 deleted).
% 0.20/0.51 ; Path-index has 116 nodes (120 at peak, 120 added, 4 deleted).
% 0.20/0.51 ; Trie-index has 64 entries (65 at peak, 65 added, 1 deleted).
% 0.20/0.51 ; Trie-index has 139 nodes (144 at peak, 144 added, 5 deleted).
% 0.20/0.51 ; Retrieved 18 generalization terms in 52 calls.
% 0.20/0.51 ; Retrieved 9 instance terms in 8 calls.
% 0.20/0.51 ; Retrieved 491 unifiable terms in 113 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 4 entries:
% 0.20/0.51 ; 4 with value 16
% 0.20/0.51 ; The agenda of rows to give has 17 entries:
% 0.20/0.51 ; 1 with value (4 11) 5 with value (4 16) 1 with value (4 22)
% 0.20/0.51 ; 6 with value (4 12) 2 with value (4 21) 2 with value (4 28)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.039 seconds of real time
% 0.20/0.51 0.033685 seconds of user run time
% 0.20/0.51 0.005792 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 2,460,960 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T19:17:48
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------