TSTP Solution File: SET594+3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET594+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 05:10:39 EDT 2022
% Result : Theorem 0.63s 0.82s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 9 unt; 3 nHn; 13 RR)
% Number of literals : 23 ( 1 equ; 11 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; 3 con; 0-2 aty)
% Number of variables : 16 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( subset(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
cnf(3,axiom,
( subset(X,Y)
| ~ member('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
cnf(4,axiom,
( ~ member(X,union(Y,Z))
| member(X,Y)
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
cnf(5,axiom,
( member(X,union(Y,Z))
| ~ member(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
cnf(6,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
cnf(14,negated_conjecture,
union(intersection('SKOLEMAAAV3','SKOLEMAAAV4'),intersection('SKOLEMAAAV3','SKOLEMAAAV5')) = 'SKOLEMAAAV3',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th53) ).
cnf(15,negated_conjecture,
~ subset('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th53) ).
cnf(17,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[15,2]) ).
cnf(18,plain,
~ member('SKOLEMAAAV1'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),union('SKOLEMAAAV4','SKOLEMAAAV5')),
inference('UR-RESOLVE',[status(thm)],[3,15]) ).
cnf(20,plain,
( ~ member(X,'SKOLEMAAAV3')
| member(X,intersection('SKOLEMAAAV3','SKOLEMAAAV4'))
| member(X,intersection('SKOLEMAAAV3','SKOLEMAAAV5')) ),
inference('PARAMODULATE',[status(thm)],[4,14,theory(equality)]) ).
cnf(34,plain,
~ member('SKOLEMAAAV1'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV4'),
inference('UR-RESOLVE',[status(thm)],[5,18]) ).
cnf(35,plain,
~ member('SKOLEMAAAV1'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV5'),
inference('UR-RESOLVE',[status(thm)],[5,18]) ).
cnf(40,plain,
~ member('SKOLEMAAAV1'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),intersection('SKOLEMAAAV4',X)),
inference('UR-RESOLVE',[status(thm)],[6,34]) ).
cnf(52,plain,
~ member('SKOLEMAAAV1'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),intersection('SKOLEMAAAV5',X)),
inference('UR-RESOLVE',[status(thm)],[6,35]) ).
cnf(1254,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[20,17,40,52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET594+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jul 9 20:38:17 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.48 *
% 0.22/0.48 *
% 0.22/0.49 #<PACKAGE "SNARK-USER">
% 0.22/0.49 *
% 0.22/0.49 SNARK-TPTP-OPTIONS
% 0.22/0.49 *
% 0.22/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49 (USE-FACTORING :POS)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49 *
% 0.22/0.49 "."
% 0.22/0.49 *
% 0.22/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T20:38:17
% 0.22/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-09T20:38:17
% 0.22/0.50
% 0.22/0.50 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.22/0.50 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.22/0.50 ; Declaring union to be commutative.
% 0.63/0.82 ; Declaring intersection to be commutative.
% 0.63/0.82
% 0.63/0.82 #||
% 0.63/0.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.82 % SZS output start Refutation
% See solution above
% 0.63/0.82 ||#
% 0.63/0.82
% 0.63/0.82 ; Summary of computation:
% 0.63/0.82 ; 3967 formulas have been input or derived (from 320 formulas).
% 0.63/0.82 ; 1254 (32%) were retained. Of these,
% 0.63/0.82 ; 10 ( 1%) were simplified or subsumed later,
% 0.63/0.82 ; 1244 (99%) are still being kept.
% 0.63/0.82 ;
% 0.63/0.82 ; Run time in seconds excluding printing time:
% 0.63/0.82 ; 0.003 1% Read assertion file (1 call)
% 0.63/0.82 ; 0.001 0% Assert (9 calls)
% 0.63/0.82 ; 0.097 30% Process new row (3,129 calls)
% 0.63/0.82 ; 0.095 29% Resolution (638 calls)
% 0.63/0.82 ; 0.003 1% Paramodulation (319 calls)
% 0.63/0.82 ; 0.000 0% Factoring (3 calls)
% 0.63/0.82 ; 0.003 1% Condensing (123 calls)
% 0.63/0.82 ; 0.003 1% Forward subsumption (123 calls)
% 0.63/0.82 ; 0.001 0% Backward subsumption (86 calls)
% 0.63/0.82 ; 0.001 0% Clause clause subsumption (142 calls)
% 0.63/0.82 ; 0.050 15% Forward simplification (3,129 calls)
% 0.63/0.82 ; 0.019 6% Backward simplification (1,254 calls)
% 0.63/0.82 ; 0.002 1% Ordering (522 calls)
% 0.63/0.82 ; 0.000 0% Sortal reasoning (32 calls)
% 0.63/0.82 ; 0.000 0% Purity testing (1 call)
% 0.63/0.82 ; 0.047 14% Other
% 0.63/0.82 ; 0.325 Total
% 0.63/0.82 ; 0.327 Real time
% 0.63/0.82 ;
% 0.63/0.82 ; Term-hash-array has 1,782 terms in all.
% 0.63/0.82 ; Feature-vector-row-index has 86 entries (86 at peak, 86 added, 0 deleted).
% 0.63/0.82 ; Feature-vector-row-index has 486 nodes (486 at peak, 486 added, 0 deleted).
% 0.63/0.82 ; Retrieved 146 possibly forward subsuming rows in 123 calls.
% 0.63/0.82 ; Retrieved 13 possibly backward subsumed rows in 86 calls.
% 0.63/0.82 ; Path-index has 1,771 entries (1,771 at peak, 1,789 added, 18 deleted).
% 0.63/0.82 ; Path-index has 363 nodes (363 at peak, 363 added, 0 deleted).
% 0.63/0.82 ; Trie-index has 1,771 entries (1,771 at peak, 1,789 added, 18 deleted).
% 0.63/0.82 ; Trie-index has 5,168 nodes (5,168 at peak, 5,210 added, 42 deleted).
% 0.63/0.82 ; Retrieved 2,131 generalization terms in 8,103 calls.
% 0.63/0.82 ; Retrieved 3,130 instance terms in 1,167 calls.
% 0.63/0.82 ; Retrieved 52,271 unifiable terms in 6,076 calls.
% 0.63/0.82 ;
% 0.63/0.82 ; The agenda of rows to process has 35 entries:
% 0.63/0.82 ; 1 with value 14 2 with value 23 4 with value 32
% 0.63/0.82 ; 2 with value 15 1 with value 26 2 with value 34
% 0.63/0.82 ; 2 with value 16 6 with value 30 3 with value 35
% 0.63/0.82 ; 6 with value 18 4 with value 31 2 with value 36
% 0.63/0.82 ; The agenda of rows to give has 924 entries:
% 0.63/0.82 ; 87 with value (4 19) 118 with value (4 24) 14 with value (4 29)
% 0.63/0.82 ; 77 with value (4 20) 51 with value (4 25) 12 with value (4 31)
% 0.63/0.82 ; 161 with value (4 21) 185 with value (4 26) 2 with value (4 38)
% 0.63/0.82 ; 126 with value (4 22) 9 with value (4 27) 1 with value (4 39)
% 0.63/0.82 ; 66 with value (4 23) 15 with value (4 28)
% 0.63/0.82 Evaluation took:
% 0.63/0.82 0.328 seconds of real time
% 0.63/0.82 0.30032 seconds of user run time
% 0.63/0.82 0.027152 seconds of system run time
% 0.63/0.82 [Run times include 0.011 seconds GC run time.]
% 0.63/0.82 0 calls to %EVAL
% 0.63/0.82 0 page faults and
% 0.63/0.82 19,850,152 bytes consed.
% 0.63/0.82 :PROOF-FOUND
% 0.63/0.82 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T20:38:17
% 0.63/0.82 :PROOF-FOUND
% 0.63/0.82 *
%------------------------------------------------------------------------------