TSTP Solution File: SET173+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET173+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 05:08:04 EDT 2022
% Result : Theorem 0.39s 0.62s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 4 unt; 3 nHn; 7 RR)
% Number of literals : 23 ( 5 equ; 7 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
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,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(12,axiom,
( X = Y
| ~ member('SKOLEMAAAT2'(X,Y),X)
| ~ member('SKOLEMAAAT2'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(13,axiom,
( X = Y
| member('SKOLEMAAAT2'(X,Y),X)
| member('SKOLEMAAAT2'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(14,negated_conjecture,
intersection('SKOLEMAAAT3',union('SKOLEMAAAT3','SKOLEMAAAT4')) != 'SKOLEMAAAT3',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_absorbtion_for_intersection) ).
cnf(17,plain,
( X = Y
| member('SKOLEMAAAT2'(X,Y),Y)
| member('SKOLEMAAAT2'(X,Y),union(X,Z)) ),
inference('HYPERRESOLVE',[status(thm)],[2,13]) ).
cnf(47,plain,
( X = Y
| member('SKOLEMAAAT2'(X,Y),Y)
| member('SKOLEMAAAT2'(X,Y),intersection(union(X,Z),X)) ),
inference('HYPERRESOLVE',[status(thm)],[4,17,13]) ).
cnf(156,plain,
member('SKOLEMAAAT2'('SKOLEMAAAT3',intersection('SKOLEMAAAT3',union('SKOLEMAAAT3','SKOLEMAAAT4'))),intersection('SKOLEMAAAT3',union('SKOLEMAAAT3','SKOLEMAAAT4'))),
inference('UR-RESOLVE',[status(thm)],[47,14]) ).
cnf(173,plain,
member('SKOLEMAAAT2'('SKOLEMAAAT3',intersection('SKOLEMAAAT3',union('SKOLEMAAAT3','SKOLEMAAAT4'))),'SKOLEMAAAT3'),
inference('HYPERRESOLVE',[status(thm)],[3,156]) ).
cnf(174,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[12,156,14]),173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET173+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n019.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 09:54:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-11T09:54:08
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-11T09:54:08
% 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 ; Declaring union to be commutative.
% 0.39/0.62 ; Declaring intersection to be commutative.
% 0.39/0.62
% 0.39/0.62 #||
% 0.39/0.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.62 % SZS output start Refutation
% See solution above
% 0.47/0.63 ||#
% 0.47/0.63
% 0.47/0.63 ; Summary of computation:
% 0.47/0.63 ; 727 formulas have been input or derived (from 35 formulas).
% 0.47/0.63 ; 174 (24%) were retained. Of these,
% 0.47/0.63 ; 21 (12%) were simplified or subsumed later,
% 0.47/0.63 ; 153 (88%) are still being kept.
% 0.47/0.63 ;
% 0.47/0.63 ; Run time in seconds excluding printing time:
% 0.47/0.63 ; 0.002 1% Read assertion file (1 call)
% 0.47/0.63 ; 0.001 1% Assert (9 calls)
% 0.47/0.63 ; 0.016 10% Process new row (560 calls)
% 0.47/0.63 ; 0.018 12% Resolution (68 calls)
% 0.47/0.63 ; 0.001 1% Paramodulation (34 calls)
% 0.47/0.63 ; 0.000 0% Factoring (18 calls)
% 0.47/0.63 ; 0.012 8% Condensing (494 calls)
% 0.47/0.63 ; 0.026 17% Forward subsumption (494 calls)
% 0.47/0.63 ; 0.005 3% Backward subsumption (158 calls)
% 0.47/0.63 ; 0.029 19% Clause clause subsumption (2,727 calls)
% 0.47/0.63 ; 0.013 8% Forward simplification (549 calls)
% 0.47/0.63 ; 0.001 1% Backward simplification (174 calls)
% 0.47/0.63 ; 0.008 5% Ordering (1,499 calls)
% 0.47/0.63 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.63 ; 0.000 0% Purity testing (1 call)
% 0.47/0.63 ; 0.023 15% Other
% 0.47/0.63 ; 0.155 Total
% 0.47/0.63 ; 0.157 Real time
% 0.47/0.63 ;
% 0.47/0.63 ; Term-hash-array has 324 terms in all.
% 0.47/0.63 ; Feature-vector-row-index has 137 entries (139 at peak, 158 added, 21 deleted).
% 0.47/0.63 ; Feature-vector-row-index has 384 nodes (384 at peak, 424 added, 40 deleted).
% 0.47/0.63 ; Retrieved 4,738 possibly forward subsuming rows in 494 calls.
% 0.47/0.63 ; Retrieved 235 possibly backward subsumed rows in 158 calls.
% 0.47/0.63 ; Path-index has 301 entries (302 at peak, 326 added, 25 deleted).
% 0.47/0.63 ; Path-index has 277 nodes (277 at peak, 281 added, 4 deleted).
% 0.47/0.63 ; Trie-index has 301 entries (302 at peak, 326 added, 25 deleted).
% 0.47/0.63 ; Trie-index has 838 nodes (838 at peak, 886 added, 48 deleted).
% 0.47/0.63 ; Retrieved 533 generalization terms in 1,521 calls.
% 0.47/0.63 ; Retrieved 22 instance terms in 15 calls.
% 0.47/0.63 ; Retrieved 4,880 unifiable terms in 421 calls.
% 0.47/0.63 ;
% 0.47/0.63 ; The agenda of rows to process has 22 entries:
% 0.47/0.63 ; 1 with value 19 1 with value 34 4 with value 52
% 0.47/0.63 ; 1 with value 21 1 with value 40 1 with value 53
% 0.47/0.63 ; 1 with value 23 1 with value 43 6 with value 54
% 0.47/0.63 ; 1 with value 27 1 with value 47 1 with value 55
% 0.47/0.63 ; 1 with value 30 1 with value 50
% 0.47/0.63 ; The agenda of rows to give has 121 entries:
% 0.47/0.63 ; 1 with value (4 17) 8 with value (4 32) 2 with value (4 41)
% 0.47/0.63 ; 5 with value (4 25) 6 with value (4 33) 1 with value (4 42)
% 0.47/0.63 ; 7 with value (4 26) 7 with value (4 34) 1 with value (4 43)
% 0.47/0.63 ; 7 with value (4 27) 7 with value (4 35) 1 with value (4 44)
% 0.47/0.63 ; 7 with value (4 28) 4 with value (4 36) 4 with value (4 45)
% 0.47/0.63 ; 12 with value (4 29) 4 with value (4 37) 5 with value (4 47)
% 0.47/0.63 ; 7 with value (4 30) 7 with value (4 38) 1 with value (4 52)
% 0.47/0.63 ; 9 with value (4 31) 8 with value (4 39)
% 0.47/0.63 Evaluation took:
% 0.47/0.63 0.158 seconds of real time
% 0.47/0.63 0.138938 seconds of user run time
% 0.47/0.63 0.01876 seconds of system run time
% 0.47/0.63 0 calls to %EVAL
% 0.47/0.63 0 page faults and
% 0.47/0.63 11,698,440 bytes consed.
% 0.47/0.63 :PROOF-FOUND
% 0.47/0.63 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T09:54:08
% 0.47/0.63 :PROOF-FOUND
% 0.47/0.63 *
%------------------------------------------------------------------------------