TSTP Solution File: SET662+3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET662+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 05:11:22 EDT 2022
% Result : Theorem 0.18s 0.54s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 8 unt; 4 nHn; 14 RR)
% Number of literals : 38 ( 0 equ; 22 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,subset_type(cross_product(X,Y)))
| ilf_type(Z,relation_type(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
cnf(5,axiom,
( ~ ilf_type(X,set_type)
| ~ member(X,empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
cnf(9,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ilf_type(Y,subset_type(X))
| ~ ilf_type(Y,member_type(power_set(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7) ).
cnf(21,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| member(X,power_set(Y))
| member('SKOLEMAAAU5'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12) ).
cnf(23,axiom,
( ~ ilf_type(X,set_type)
| ~ empty(power_set(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13) ).
cnf(26,axiom,
( ~ ilf_type(X,set_type)
| empty(Y)
| ~ ilf_type(Y,set_type)
| ilf_type(X,member_type(Y))
| ~ member(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14) ).
cnf(37,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20) ).
cnf(38,negated_conjecture,
~ ilf_type(empty_set,relation_type('SKOLEMAAAU10','SKOLEMAAAU11')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_25) ).
cnf(40,plain,
( ~ ilf_type(X,subset_type(cross_product(Y,Z)))
| ilf_type(X,relation_type(Y,Z)) ),
inference('REWRITE',[status(thm)],[2,37]) ).
cnf(43,plain,
~ member(X,empty_set),
inference('REWRITE',[status(thm)],[5,37]) ).
cnf(45,plain,
( ilf_type(X,subset_type(Y))
| ~ ilf_type(X,member_type(power_set(Y))) ),
inference('REWRITE',[status(thm)],[9,37]) ).
cnf(54,plain,
( member(X,power_set(Y))
| member('SKOLEMAAAU5'(X,Y),X) ),
inference('REWRITE',[status(thm)],[21,37]) ).
cnf(56,plain,
~ empty(power_set(X)),
inference('REWRITE',[status(thm)],[23,37]) ).
cnf(58,plain,
( empty(X)
| ilf_type(Y,member_type(X))
| ~ member(Y,X) ),
inference('REWRITE',[status(thm)],[26,37]) ).
cnf(72,plain,
member(empty_set,power_set(X)),
inference('HYPERRESOLVE',[status(thm)],[43,54]) ).
cnf(91,plain,
~ ilf_type(empty_set,subset_type(cross_product('SKOLEMAAAU10','SKOLEMAAAU11'))),
inference('UR-RESOLVE',[status(thm)],[40,38]) ).
cnf(96,plain,
ilf_type(empty_set,member_type(power_set(X))),
inference('UR-RESOLVE',[status(thm)],[58,72,56]) ).
cnf(140,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[45,91]),96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET662+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 03:02:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T03:02:32
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-10T03:02:32
% 0.18/0.48 WARNING:
% 0.18/0.48 |type| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.54
% 0.18/0.54
% 0.18/0.54 #||
% 0.18/0.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.54 % SZS output start Refutation
% See solution above
% 0.18/0.54 ||#
% 0.18/0.54
% 0.18/0.54 ; Summary of computation:
% 0.18/0.54 ; 275 formulas have been input or derived (from 46 formulas).
% 0.18/0.54 ; 140 (51%) were retained. Of these,
% 0.18/0.54 ; 38 (27%) were simplified or subsumed later,
% 0.18/0.54 ; 102 (73%) are still being kept.
% 0.18/0.54 ;
% 0.18/0.54 ; Run time in seconds excluding printing time:
% 0.18/0.54 ; 0.006 8% Read assertion file (1 call)
% 0.18/0.54 ; 0.002 3% Assert (22 calls)
% 0.18/0.54 ; 0.017 24% Process new row (243 calls)
% 0.18/0.54 ; 0.008 11% Resolution (90 calls)
% 0.18/0.54 ; 0.000 0% Paramodulation (45 calls)
% 0.18/0.54 ; 0.000 0% Factoring (6 calls)
% 0.18/0.54 ; 0.000 0% Condensing (103 calls)
% 0.18/0.54 ; 0.005 7% Forward subsumption (103 calls)
% 0.18/0.54 ; 0.000 0% Backward subsumption (90 calls)
% 0.18/0.54 ; 0.000 0% Clause clause subsumption (53 calls)
% 0.18/0.54 ; 0.002 3% Forward simplification (242 calls)
% 0.18/0.54 ; 0.002 3% Backward simplification (140 calls)
% 0.18/0.54 ; 0.000 0% Ordering (93 calls)
% 0.18/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.54 ; 0.000 0% Purity testing (1 call)
% 0.18/0.54 ; 0.029 41% Other
% 0.18/0.54 ; 0.071 Total
% 0.18/0.54 ; 0.075 Real time
% 0.18/0.54 ;
% 0.18/0.54 ; Term-hash-array has 231 terms in all.
% 0.18/0.54 ; Feature-vector-row-index has 55 entries (55 at peak, 90 added, 35 deleted).
% 0.18/0.54 ; Feature-vector-row-index has 254 nodes (254 at peak, 418 added, 164 deleted).
% 0.18/0.54 ; Retrieved 55 possibly forward subsuming rows in 103 calls.
% 0.18/0.54 ; Retrieved 6 possibly backward subsumed rows in 90 calls.
% 0.18/0.54 ; Path-index has 209 entries (209 at peak, 276 added, 67 deleted).
% 0.36/0.54 ; Path-index has 666 nodes (666 at peak, 744 added, 78 deleted).
% 0.36/0.54 ; Trie-index has 209 entries (209 at peak, 276 added, 67 deleted).
% 0.36/0.54 ; Trie-index has 646 nodes (646 at peak, 802 added, 156 deleted).
% 0.36/0.54 ; Retrieved 171 generalization terms in 342 calls.
% 0.36/0.54 ; Retrieved 73 instance terms in 49 calls.
% 0.36/0.54 ; Retrieved 1,943 unifiable terms in 366 calls.
% 0.36/0.54 ;
% 0.36/0.54 ; The agenda of rows to give has 57 entries:
% 0.36/0.54 ; 4 with value (4 10) 2 with value (4 17) 1 with value (4 24)
% 0.36/0.54 ; 5 with value (4 11) 4 with value (4 18) 1 with value (4 26)
% 0.36/0.54 ; 8 with value (4 12) 6 with value (4 19) 2 with value (4 27)
% 0.36/0.54 ; 4 with value (4 13) 1 with value (4 20) 1 with value (4 28)
% 0.36/0.54 ; 3 with value (4 14) 2 with value (4 21) 1 with value (4 30)
% 0.36/0.54 ; 1 with value (4 15) 1 with value (4 22) 2 with value (4 35)
% 0.36/0.54 ; 5 with value (4 16) 2 with value (4 23) 1 with value (4 40)
% 0.36/0.54 Evaluation took:
% 0.36/0.54 0.075 seconds of real time
% 0.36/0.54 0.061152 seconds of user run time
% 0.36/0.54 0.013341 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 4,192,600 bytes consed.
% 0.36/0.54 :PROOF-FOUND
% 0.36/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T03:02:32
% 0.36/0.54 :PROOF-FOUND
% 0.36/0.54 *
%------------------------------------------------------------------------------