TSTP Solution File: SET611+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET611+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 05:10:52 EDT 2022
% Result : Theorem 133.34s 133.51s
% Output : Refutation 133.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 25 ( 6 unt; 11 nHn; 14 RR)
% Number of literals : 52 ( 16 equ; 17 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member('SKOLEMAAAV1'(X,Y),X)
| ~ member('SKOLEMAAAV1'(X,Y),Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_equal) ).
cnf(2,axiom,
( member('SKOLEMAAAV1'(X,Y),X)
| member('SKOLEMAAAV1'(X,Y),Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_equal) ).
cnf(3,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
cnf(4,axiom,
( member(X,intersection(Y,Z))
| ~ member(X,Y)
| ~ member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
cnf(5,axiom,
( ~ member(X,difference(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
cnf(6,axiom,
( ~ member(X,difference(Y,Z))
| ~ member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
cnf(7,axiom,
( member(X,difference(Y,Z))
| ~ member(X,Y)
| member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
cnf(8,axiom,
~ member(X,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set_defn) ).
cnf(11,axiom,
( X != Y
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(18,axiom,
( ~ empty(X)
| ~ member(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_defn) ).
cnf(19,axiom,
( empty(X)
| member('SKOLEMAAAV4'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_defn) ).
cnf(20,negated_conjecture,
( intersection('SKOLEMAAAV5','SKOLEMAAAV6') != empty_set
| difference('SKOLEMAAAV5','SKOLEMAAAV6') != 'SKOLEMAAAV5' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th84) ).
cnf(21,negated_conjecture,
( intersection('SKOLEMAAAV5','SKOLEMAAAV6') = empty_set
| difference('SKOLEMAAAV5','SKOLEMAAAV6') = 'SKOLEMAAAV5' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th84) ).
cnf(24,plain,
( empty(intersection(X,Y))
| member('SKOLEMAAAV4'(intersection(X,Y)),X) ),
inference('HYPERRESOLVE',[status(thm)],[3,19]) ).
cnf(31,plain,
( difference('SKOLEMAAAV5','SKOLEMAAAV6') = 'SKOLEMAAAV5'
| empty(intersection('SKOLEMAAAV5','SKOLEMAAAV6')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,21,19]),8]) ).
cnf(34,plain,
( member('SKOLEMAAAV1'(empty_set,X),X)
| empty_set = X ),
inference('HYPERRESOLVE',[status(thm)],[8,2]) ).
cnf(42,plain,
( member('SKOLEMAAAV1'(difference(X,Y),Z),Z)
| difference(X,Y) = Z
| member('SKOLEMAAAV1'(difference(X,Y),Z),X) ),
inference('HYPERRESOLVE',[status(thm)],[5,2]) ).
cnf(44,plain,
( member('SKOLEMAAAV1'(X,Y),X)
| X = Y
| member('SKOLEMAAAV1'(X,Y),difference(Y,Z))
| member('SKOLEMAAAV1'(X,Y),Z) ),
inference('HYPERRESOLVE',[status(thm)],[7,2]) ).
cnf(112,plain,
empty(intersection(X,difference(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[6,24,24]) ).
cnf(121,plain,
empty_set = intersection(X,difference(Y,X)),
inference('HYPERRESOLVE',[status(thm)],[18,112,34]) ).
cnf(14182,plain,
( X = difference(X,Y)
| member('SKOLEMAAAV1'(difference(X,Y),X),Y) ),
inference('HYPERRESOLVE',[status(thm)],[1,44,42]) ).
cnf(15164,plain,
( X = difference(X,Y)
| member('SKOLEMAAAV1'(difference(X,Y),X),intersection(X,Y)) ),
inference('HYPERRESOLVE',[status(thm)],[4,14182,42]) ).
cnf(15708,plain,
difference('SKOLEMAAAV5','SKOLEMAAAV6') = 'SKOLEMAAAV5',
inference('HYPERRESOLVE',[status(thm)],[18,15164,31]) ).
cnf(15709,plain,
intersection('SKOLEMAAAV5','SKOLEMAAAV6') != empty_set,
inference('REWRITE',[status(thm)],[20,15708,theory(equality)]) ).
cnf(15915,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[121,15708,theory(equality)]),15709]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET611+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 14:27:37 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T14:27:37
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-10T14:27:37
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 133.34/133.51 ; Declaring intersection to be commutative.
% 133.34/133.51
% 133.34/133.51 #||
% 133.34/133.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 133.34/133.51 % SZS output start Refutation
% See solution above
% 133.34/133.51 ||#
% 133.34/133.51
% 133.34/133.51 ; Summary of computation:
% 133.34/133.51 ; 444729 formulas have been input or derived (from 881 formulas).
% 133.34/133.51 ; 15915 ( 4%) were retained. Of these,
% 133.34/133.51 ; 11461 (72%) were simplified or subsumed later,
% 133.34/133.51 ; 4454 (28%) are still being kept.
% 133.34/133.51 ;
% 133.34/133.51 ; Run time in seconds excluding printing time:
% 133.34/133.51 ; 0.003 0% Read assertion file (1 call)
% 133.34/133.51 ; 0.001 0% Assert (11 calls)
% 133.34/133.51 ; 3.033 2% Process new row (381,939 calls)
% 133.34/133.51 ; 4.982 4% Resolution (1,760 calls)
% 133.34/133.51 ; 2.337 2% Paramodulation (880 calls)
% 133.34/133.51 ; 0.007 0% Factoring (603 calls)
% 133.34/133.51 ; 3.347 3% Condensing (233,651 calls)
% 133.34/133.51 ; 66.892 50% Forward subsumption (233,651 calls)
% 133.34/133.51 ; 2.222 2% Backward subsumption (12,879 calls)
% 133.34/133.51 ; 30.625 23% Clause clause subsumption (11,832,704 calls)
% 133.34/133.51 ; 16.005 12% Forward simplification (345,921 calls)
% 133.34/133.51 ; 0.848 1% Backward simplification (15,915 calls)
% 133.34/133.51 ; 1.409 1% Ordering (654,668 calls)
% 133.34/133.51 ; 0.000 0% Sortal reasoning (32 calls)
% 133.34/133.51 ; 0.000 0% Purity testing (1 call)
% 133.34/133.51 ; 1.309 1% Other
% 133.34/133.51 ; 133.020 Total
% 133.34/133.51 ; 133.026 Real time
% 133.34/133.51 ;
% 133.34/133.51 ; Term-hash-array has 24,512 terms in all.
% 133.34/133.51 ; Feature-vector-row-index has 3,679 entries (11,088 at peak, 12,879 added, 9,200 deleted).
% 133.34/133.51 ; Feature-vector-row-index has 6,482 nodes (28,415 at peak, 33,322 added, 26,840 deleted).
% 133.34/133.51 ; Retrieved 25,518,109 possibly forward subsuming rows in 233,651 calls.
% 133.34/133.51 ; Retrieved 423,183 possibly backward subsumed rows in 12,879 calls.
% 133.34/133.51 ; Path-index has 5,874 entries (20,589 at peak, 24,852 added, 18,978 deleted).
% 133.34/133.51 ; Path-index has 4,244 nodes (5,972 at peak, 6,868 added, 2,624 deleted).
% 133.34/133.51 ; Trie-index has 5,874 entries (20,589 at peak, 24,852 added, 18,978 deleted).
% 133.34/133.51 ; Trie-index has 19,465 nodes (80,023 at peak, 95,796 added, 76,331 deleted).
% 133.34/133.51 ; Retrieved 3,026,706 generalization terms in 2,538,477 calls.
% 133.34/133.51 ; Retrieved 17,690 instance terms in 3,035 calls.
% 133.34/133.51 ; Retrieved 2,922,381 unifiable terms in 11,608 calls.
% 133.34/133.51 ;
% 133.34/133.51 ; The agenda of rows to process has 897 entries:
% 133.34/133.51 ; 3 with value 13 49 with value 24 51 with value 34
% 133.34/133.51 ; 1 with value 14 95 with value 25 18 with value 35
% 133.34/133.51 ; 6 with value 15 33 with value 26 25 with value 36
% 133.34/133.51 ; 11 with value 16 20 with value 27 9 with value 37
% 133.34/133.51 ; 10 with value 17 59 with value 28 16 with value 38
% 133.34/133.51 ; 24 with value 18 36 with value 29 8 with value 39
% 133.34/133.51 ; 10 with value 19 78 with value 30 3 with value 40
% 133.34/133.51 ; 34 with value 20 54 with value 31 4 with value 41
% 133.34/133.51 ; 21 with value 21 87 with value 32 11 with value 42
% 133.34/133.51 ; 59 with value 22 16 with value 33 2 with value 44
% 133.34/133.51 ; 44 with value 23
% 133.34/133.51 ; The agenda of rows to give has 4021 entries:
% 133.34/133.51 ; 2 with value (4 11) 233 with value (4 31) 46 with value (4 48)
% 133.34/133.51 ; 5 with value (4 12) 311 with value (4 32) 34 with value (4 49)
% 133.34/133.51 ; 8 with value (4 13) 306 with value (4 33) 22 with value (4 50)
% 133.34/133.51 ; 3 with value (4 14) 375 with value (4 34) 18 with value (4 51)
% 133.34/133.51 ; 2 with value (4 15) 267 with value (4 35) 28 with value (4 52)
% 133.34/133.51 ; 10 with value (4 18) 186 with value (4 36) 32 with value (4 53)
% 133.34/133.51 ; 11 with value (4 19) 197 with value (4 37) 55 with value (4 54)
% 133.34/133.51 ; 3 with value (4 20) 220 with value (4 38) 13 with value (4 55)
% 133.34/133.51 ; 7 with value (4 22) 120 with value (4 39) 16 with value (4 56)
% 133.34/133.51 ; 6 with value (4 23) 166 with value (4 40) 14 with value (4 57)
% 133.34/133.51 ; 10 with value (4 24) 116 with value (4 41) 10 with value (4 59)
% 133.34/133.51 ; 7 with value (4 25) 94 with value (4 42) 14 with value (4 60)
% 133.34/133.51 ; 8 with value (4 26) 91 with value (4 43) 2 with value (4 61)
% 133.34/133.51 ; 14 with value (4 27) 49 with value (4 44) 6 with value (4 62)
% 133.34/133.51 ; 168 with value (4 28) 60 with value (4 45) 80 with value (4 63)
% 133.34/133.51 ; 166 with value (4 29) 61 with value (4 46) 10 with value (4 64)
% 133.34/133.51 ; 251 with value (4 30) 68 with value (4 47) 20 with value (4 65)
% 133.34/133.51 Evaluation took:
% 133.34/133.51 133.028 seconds of real time
% 133.34/133.51 117.43755 seconds of user run time
% 133.34/133.51 15.586492 seconds of system run time
% 133.34/133.51 [Run times include 14.25 seconds GC run time.]
% 133.34/133.51 0 calls to %EVAL
% 133.34/133.51 0 page faults and
% 133.34/133.51 15,033,363,192 bytes consed.
% 133.34/133.51 :PROOF-FOUND
% 133.34/133.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T14:29:50
% 133.34/133.51 :PROOF-FOUND
% 133.34/133.51 *
%------------------------------------------------------------------------------