%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET580+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 05:10:30 EDT 2022
% Result : Theorem 0.47s 0.65s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of clauses : 30 ( 7 unt; 14 nHn; 22 RR)
% Number of literals : 65 ( 2 equ; 18 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(X,union(Y,Z))
| member(X,Y)
| member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
cnf(2,axiom,
( member(X,union(Y,Z))
| ~ member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
cnf(3,axiom,
( ~ member(X,difference(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
cnf(4,axiom,
( ~ member(X,difference(Y,Z))
| ~ member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
cnf(5,axiom,
( member(X,difference(Y,Z))
| ~ member(X,Y)
| member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
cnf(6,axiom,
symmetric_difference(X,Y) = union(difference(X,Y),difference(Y,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_difference_defn) ).
cnf(7,axiom,
( X != Y
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(10,negated_conjecture,
( ~ member('SKOLEMAAAW2',symmetric_difference('SKOLEMAAAW3','SKOLEMAAAW4'))
| ~ member('SKOLEMAAAW2','SKOLEMAAAW3')
| member('SKOLEMAAAW2','SKOLEMAAAW4') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th23) ).
cnf(11,negated_conjecture,
( ~ member('SKOLEMAAAW2',symmetric_difference('SKOLEMAAAW3','SKOLEMAAAW4'))
| member('SKOLEMAAAW2','SKOLEMAAAW3')
| ~ member('SKOLEMAAAW2','SKOLEMAAAW4') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th23) ).
cnf(12,negated_conjecture,
( member('SKOLEMAAAW2',symmetric_difference('SKOLEMAAAW3','SKOLEMAAAW4'))
| ~ member('SKOLEMAAAW2','SKOLEMAAAW3')
| ~ member('SKOLEMAAAW2','SKOLEMAAAW4') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th23) ).
cnf(13,negated_conjecture,
( member('SKOLEMAAAW2',symmetric_difference('SKOLEMAAAW3','SKOLEMAAAW4'))
| member('SKOLEMAAAW2','SKOLEMAAAW3')
| member('SKOLEMAAAW2','SKOLEMAAAW4') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th23) ).
cnf(14,plain,
( ~ member(X,symmetric_difference(Y,Z))
| member(X,difference(Y,Z))
| member(X,difference(Z,Y)) ),
inference('PARAMODULATE',[status(thm)],[1,6,theory(equality)]) ).
cnf(50,plain,
( member('SKOLEMAAAW2','SKOLEMAAAW3')
| member('SKOLEMAAAW2','SKOLEMAAAW4')
| member('SKOLEMAAAW2',difference('SKOLEMAAAW3','SKOLEMAAAW4'))
| member('SKOLEMAAAW2',difference('SKOLEMAAAW4','SKOLEMAAAW3')) ),
inference('HYPERRESOLVE',[status(thm)],[14,13]) ).
cnf(97,plain,
( member('SKOLEMAAAW2','SKOLEMAAAW3')
| member('SKOLEMAAAW2','SKOLEMAAAW4')
| member('SKOLEMAAAW2',difference('SKOLEMAAAW4','SKOLEMAAAW3')) ),
inference('HYPERRESOLVE',[status(thm)],[3,50]) ).
cnf(98,plain,
( member('SKOLEMAAAW2','SKOLEMAAAW3')
| member('SKOLEMAAAW2','SKOLEMAAAW4') ),
inference('HYPERRESOLVE',[status(thm)],[3,97]) ).
cnf(100,plain,
( member('SKOLEMAAAW2','SKOLEMAAAW3')
| member('SKOLEMAAAW2',difference('SKOLEMAAAW4',X))
| member('SKOLEMAAAW2',X) ),
inference('HYPERRESOLVE',[status(thm)],[5,98]) ).
cnf(103,plain,
( member('SKOLEMAAAW2','SKOLEMAAAW3')
| member('SKOLEMAAAW2',difference('SKOLEMAAAW4','SKOLEMAAAW3')) ),
inference('FACTOR',[status(thm)],[100]) ).
cnf(106,plain,
( member('SKOLEMAAAW2','SKOLEMAAAW3')
| member('SKOLEMAAAW2',union(difference('SKOLEMAAAW4','SKOLEMAAAW3'),X)) ),
inference('HYPERRESOLVE',[status(thm)],[2,103]) ).
cnf(110,plain,
( member('SKOLEMAAAW2','SKOLEMAAAW3')
| member('SKOLEMAAAW2',symmetric_difference('SKOLEMAAAW3','SKOLEMAAAW4')) ),
inference('HYPERRESOLVE',[status(thm)],[7,106,6]) ).
cnf(113,plain,
member('SKOLEMAAAW2','SKOLEMAAAW3'),
inference('HYPERRESOLVE',[status(thm)],[11,110,98]) ).
cnf(114,plain,
( ~ member('SKOLEMAAAW2',symmetric_difference('SKOLEMAAAW3','SKOLEMAAAW4'))
| member('SKOLEMAAAW2','SKOLEMAAAW4') ),
inference('REWRITE',[status(thm)],[10,113]) ).
cnf(115,plain,
( member('SKOLEMAAAW2',symmetric_difference('SKOLEMAAAW3','SKOLEMAAAW4'))
| ~ member('SKOLEMAAAW2','SKOLEMAAAW4') ),
inference('REWRITE',[status(thm)],[12,113]) ).
cnf(117,plain,
~ member('SKOLEMAAAW2',difference(X,'SKOLEMAAAW3')),
inference('UR-RESOLVE',[status(thm)],[4,113]) ).
cnf(118,plain,
( member('SKOLEMAAAW2',difference('SKOLEMAAAW3',X))
| member('SKOLEMAAAW2',X) ),
inference('HYPERRESOLVE',[status(thm)],[5,113]) ).
cnf(158,plain,
( member('SKOLEMAAAW2',X)
| member('SKOLEMAAAW2',union(difference('SKOLEMAAAW3',X),Y)) ),
inference('HYPERRESOLVE',[status(thm)],[2,118]) ).
cnf(492,plain,
( member('SKOLEMAAAW2',X)
| member('SKOLEMAAAW2',symmetric_difference('SKOLEMAAAW3',X)) ),
inference('HYPERRESOLVE',[status(thm)],[7,158,6]) ).
cnf(504,plain,
member('SKOLEMAAAW2','SKOLEMAAAW4'),
inference('HYPERRESOLVE',[status(thm)],[114,492]) ).
cnf(505,plain,
member('SKOLEMAAAW2',symmetric_difference('SKOLEMAAAW3','SKOLEMAAAW4')),
inference('REWRITE',[status(thm)],[115,504]) ).
cnf(522,plain,
member('SKOLEMAAAW2',difference('SKOLEMAAAW3','SKOLEMAAAW4')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[14,505]),117]) ).
cnf(545,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[4,522]),504]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET580+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 02:21:56 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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 2022-07-10T02:21:56
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-10T02:21:56
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.20/0.50 ; Recognized commutativity assertion (= (|symmetric_difference| ?X ?Y) (|symmetric_difference| ?Y ?X)).
% 0.20/0.50 ; Declaring union to be commutative.
% 0.47/0.65 ; Declaring symmetric_difference to be commutative.
% 0.47/0.65
% 0.47/0.65 #||
% 0.47/0.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.65 % SZS output start Refutation
% See solution above
% 0.47/0.65 ||#
% 0.47/0.65
% 0.47/0.65 ; Summary of computation:
% 0.47/0.65 ; 1129 formulas have been input or derived (from 84 formulas).
% 0.47/0.65 ; 545 (48%) were retained. Of these,
% 0.47/0.65 ; 47 ( 9%) were simplified or subsumed later,
% 0.47/0.65 ; 498 (91%) are still being kept.
% 0.47/0.65 ;
% 0.47/0.65 ; Run time in seconds excluding printing time:
% 0.47/0.65 ; 0.002 1% Read assertion file (1 call)
% 0.47/0.65 ; 0.000 0% Assert (7 calls)
% 0.47/0.65 ; 0.051 31% Process new row (943 calls)
% 0.47/0.65 ; 0.026 16% Resolution (166 calls)
% 0.47/0.65 ; 0.003 2% Paramodulation (83 calls)
% 0.47/0.65 ; 0.001 1% Factoring (34 calls)
% 0.47/0.65 ; 0.004 2% Condensing (249 calls)
% 0.47/0.65 ; 0.015 9% Forward subsumption (249 calls)
% 0.47/0.65 ; 0.005 3% Backward subsumption (130 calls)
% 0.47/0.65 ; 0.004 2% Clause clause subsumption (601 calls)
% 0.47/0.65 ; 0.012 7% Forward simplification (929 calls)
% 0.47/0.65 ; 0.008 5% Backward simplification (545 calls)
% 0.47/0.65 ; 0.001 1% Ordering (993 calls)
% 0.47/0.65 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.65 ; 0.000 0% Purity testing (1 call)
% 0.47/0.65 ; 0.035 21% Other
% 0.47/0.65 ; 0.167 Total
% 0.47/0.65 ; 0.170 Real time
% 0.47/0.65 ;
% 0.47/0.65 ; Term-hash-array has 998 terms in all.
% 0.47/0.65 ; Feature-vector-row-index has 83 entries (95 at peak, 130 added, 47 deleted).
% 0.47/0.65 ; Feature-vector-row-index has 264 nodes (435 at peak, 632 added, 368 deleted).
% 0.47/0.65 ; Retrieved 575 possibly forward subsuming rows in 249 calls.
% 0.47/0.65 ; Retrieved 171 possibly backward subsumed rows in 130 calls.
% 0.47/0.65 ; Path-index has 931 entries (931 at peak, 1,023 added, 92 deleted).
% 0.47/0.65 ; Path-index has 880 nodes (880 at peak, 1,002 added, 122 deleted).
% 0.47/0.65 ; Trie-index has 931 entries (931 at peak, 1,023 added, 92 deleted).
% 0.47/0.65 ; Trie-index has 4,301 nodes (4,301 at peak, 4,596 added, 295 deleted).
% 0.47/0.65 ; Retrieved 367 generalization terms in 1,902 calls.
% 0.47/0.65 ; Retrieved 590 instance terms in 414 calls.
% 0.47/0.65 ; Retrieved 12,646 unifiable terms in 1,441 calls.
% 0.47/0.65 ;
% 0.47/0.65 ; The agenda of rows to process has 31 entries:
% 0.47/0.65 ; 1 with value 7 1 with value 19 1 with value 25
% 0.47/0.65 ; 1 with value 10 1 with value 20 6 with value 26
% 0.47/0.65 ; 2 with value 13 1 with value 22 2 with value 27
% 0.47/0.65 ; 1 with value 14 3 with value 23 1 with value 28
% 0.47/0.65 ; 2 with value 17 2 with value 24 4 with value 29
% 0.47/0.65 ; 2 with value 18
% 0.47/0.65 ; The agenda of rows to give has 438 entries:
% 0.47/0.65 ; 2 with value (4 11) 39 with value (4 26) 26 with value (4 35)
% 0.47/0.65 ; 1 with value (4 15) 34 with value (4 27) 2 with value (4 36)
% 0.47/0.65 ; 1 with value (4 16) 49 with value (4 28) 10 with value (4 37)
% 0.47/0.65 ; 1 with value (4 19) 43 with value (4 29) 24 with value (4 38)
% 0.47/0.65 ; 1 with value (4 20) 26 with value (4 30) 4 with value (4 40)
% 0.47/0.65 ; 3 with value (4 22) 52 with value (4 31) 16 with value (4 41)
% 0.47/0.65 ; 3 with value (4 23) 16 with value (4 32) 2 with value (4 43)
% 0.47/0.65 ; 20 with value (4 24) 30 with value (4 33) 2 with value (4 45)
% 0.47/0.65 ; 24 with value (4 25) 7 with value (4 34)
% 0.47/0.65 Evaluation took:
% 0.47/0.65 0.17 seconds of real time
% 0.47/0.65 0.149361 seconds of user run time
% 0.47/0.65 0.021197 seconds of system run time
% 0.47/0.65 0 calls to %EVAL
% 0.47/0.65 0 page faults and
% 0.47/0.65 11,907,792 bytes consed.
% 0.47/0.65 :PROOF-FOUND
% 0.47/0.65 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T02:21:56
% 0.47/0.65 :PROOF-FOUND
% 0.47/0.65 *
%------------------------------------------------------------------------------