TSTP Solution File: SET635+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET635+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 05:11:10 EDT 2022
% Result : Theorem 0.36s 0.53s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 9 unt; 0 nHn; 4 RR)
% Number of literals : 11 ( 8 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
subset(intersection(X,Y),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_is_subset) ).
cnf(3,axiom,
( difference(X,Y) = empty_set
| ~ subset(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_empty_set) ).
cnf(4,axiom,
union(X,empty_set) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_empty_set) ).
cnf(5,axiom,
difference(X,intersection(Y,Z)) = union(difference(X,Y),difference(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_and_intersection_and_union) ).
cnf(6,axiom,
intersection(X,difference(Y,Z)) = difference(intersection(X,Y),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_and_intersection) ).
cnf(24,negated_conjecture,
intersection('SKOLEMAAAV4',difference('SKOLEMAAAV5','SKOLEMAAAV6')) != difference(intersection('SKOLEMAAAV4','SKOLEMAAAV5'),intersection('SKOLEMAAAV4','SKOLEMAAAV6')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th117) ).
cnf(25,plain,
difference(intersection('SKOLEMAAAV4','SKOLEMAAAV5'),'SKOLEMAAAV6') != difference(intersection('SKOLEMAAAV4','SKOLEMAAAV5'),intersection('SKOLEMAAAV4','SKOLEMAAAV6')),
inference('REWRITE',[status(thm)],[24,6,theory(equality)]) ).
cnf(28,plain,
difference(intersection(X,Y),X) = empty_set,
inference('HYPERRESOLVE',[status(thm)],[3,1]) ).
cnf(64,plain,
difference(intersection(X,Y),intersection(X,Z)) = difference(intersection(X,Y),Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,28,theory(equality)]),4,theory(equality)]) ).
cnf(65,plain,
$false,
inference('REWRITE',[status(thm)],[25,64,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET635+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 13:36:20 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (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/sandbox/benchmark/theBenchmark.p 2022-07-10T13:36:20
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-10T13:36:20
% 0.19/0.49
% 0.19/0.49 ; Recognized right identity assertion (= (|union| ?X |empty_set|) ?X).
% 0.19/0.49 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.19/0.49 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.19/0.49 ; Declaring intersection to be commutative.
% 0.36/0.53 ; Declaring union to be commutative.
% 0.36/0.53
% 0.36/0.53 #||
% 0.36/0.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.53 % SZS output start Refutation
% See solution above
% 0.36/0.53 ||#
% 0.36/0.53
% 0.36/0.53 ; Summary of computation:
% 0.36/0.53 ; 243 formulas have been input or derived (from 31 formulas).
% 0.36/0.53 ; 65 (27%) were retained. Of these,
% 0.36/0.53 ; 4 ( 6%) were simplified or subsumed later,
% 0.36/0.53 ; 61 (94%) are still being kept.
% 0.36/0.53 ;
% 0.36/0.53 ; Run time in seconds excluding printing time:
% 0.36/0.53 ; 0.003 5% Read assertion file (1 call)
% 0.36/0.53 ; 0.002 4% Assert (16 calls)
% 0.36/0.53 ; 0.006 11% Process new row (212 calls)
% 0.36/0.53 ; 0.007 12% Resolution (60 calls)
% 0.36/0.53 ; 0.000 0% Paramodulation (30 calls)
% 0.36/0.53 ; 0.000 0% Factoring (3 calls)
% 0.36/0.53 ; 0.005 9% Condensing (91 calls)
% 0.36/0.53 ; 0.002 4% Forward subsumption (91 calls)
% 0.36/0.53 ; 0.000 0% Backward subsumption (40 calls)
% 0.36/0.53 ; 0.001 2% Clause clause subsumption (119 calls)
% 0.36/0.53 ; 0.005 9% Forward simplification (212 calls)
% 0.36/0.53 ; 0.001 2% Backward simplification (64 calls)
% 0.36/0.53 ; 0.000 0% Ordering (255 calls)
% 0.36/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.36/0.53 ; 0.000 0% Purity testing (1 call)
% 0.36/0.53 ; 0.024 43% Other
% 0.36/0.53 ; 0.056 Total
% 0.36/0.53 ; 0.058 Real time
% 0.36/0.54 ;
% 0.36/0.54 ; Term-hash-array has 125 terms in all.
% 0.36/0.54 ; Feature-vector-row-index has 40 entries (40 at peak, 40 added, 0 deleted).
% 0.36/0.54 ; Feature-vector-row-index has 88 nodes (88 at peak, 88 added, 0 deleted).
% 0.36/0.54 ; Retrieved 127 possibly forward subsuming rows in 91 calls.
% 0.36/0.54 ; Retrieved 8 possibly backward subsumed rows in 40 calls.
% 0.36/0.54 ; Path-index has 120 entries (125 at peak, 132 added, 12 deleted).
% 0.36/0.54 ; Path-index has 208 nodes (221 at peak, 226 added, 18 deleted).
% 0.36/0.54 ; Trie-index has 120 entries (125 at peak, 132 added, 12 deleted).
% 0.36/0.54 ; Trie-index has 278 nodes (297 at peak, 304 added, 26 deleted).
% 0.36/0.54 ; Retrieved 391 generalization terms in 681 calls.
% 0.36/0.54 ; Retrieved 45 instance terms in 24 calls.
% 0.36/0.54 ; Retrieved 1,813 unifiable terms in 246 calls.
% 0.36/0.54 ;
% 0.36/0.54 ; The agenda of rows to process has 6 entries:
% 0.36/0.54 ; 1 with value 21 2 with value 25 2 with value 38
% 0.36/0.54 ; 1 with value 23
% 0.36/0.54 ; The agenda of rows to give has 31 entries:
% 0.36/0.54 ; 1 with value (4 11) 2 with value (4 16) 1 with value (4 20)
% 0.36/0.54 ; 3 with value (4 12) 2 with value (4 17) 2 with value (4 21)
% 0.36/0.54 ; 2 with value (4 13) 4 with value (4 18) 2 with value (4 26)
% 0.36/0.54 ; 1 with value (4 14) 1 with value (4 19) 6 with value (4 28)
% 0.36/0.54 ; 4 with value (4 15)
% 0.36/0.54 Evaluation took:
% 0.36/0.54 0.058 seconds of real time
% 0.36/0.54 0.050386 seconds of user run time
% 0.36/0.54 0.008256 seconds of system run time
% 0.36/0.54 0 calls to %EVAL
% 0.36/0.54 0 page faults and
% 0.36/0.54 3,263,384 bytes consed.
% 0.36/0.54 :PROOF-FOUND
% 0.36/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T13:36:20
% 0.36/0.54 :PROOF-FOUND
% 0.36/0.54 *
%------------------------------------------------------------------------------