%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM409+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 : Mon Jul 18 14:10:17 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of clauses : 18 ( 12 unt; 1 nHn; 16 RR)
% Number of literals : 32 ( 4 equ; 15 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(13,axiom,
( ~ relation(X)
| Y = relation_dom(X)
| in('SKOLEMAAAV2'(Y,X),Y)
| in(ordered_pair('SKOLEMAAAV2'(Y,X),'SKOLEMAAAV3'(Y,X)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
cnf(16,axiom,
( ~ relation(X)
| ~ function(X)
| transfinite_sequence(X)
| ~ ordinal(relation_dom(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_ordinal1) ).
cnf(18,axiom,
( ~ relation(X)
| ~ function(X)
| ~ transfinite_sequence(X)
| transfinite_sequence_of(X,Y)
| ~ subset(relation_rng(X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_ordinal1) ).
cnf(24,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).
cnf(25,axiom,
relation(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).
cnf(27,axiom,
function(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_ordinal1) ).
cnf(30,axiom,
ordinal(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_ordinal1) ).
cnf(35,axiom,
( ~ empty(X)
| empty(relation_rng(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_relat_1) ).
cnf(74,axiom,
subset(empty_set,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_xboole_1) ).
cnf(77,negated_conjecture,
~ transfinite_sequence_of(empty_set,'SKOLEMAAAV20'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_ordinal1) ).
cnf(83,axiom,
( ~ in(X,Y)
| ~ empty(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
cnf(84,axiom,
( ~ empty(X)
| X = Y
| ~ empty(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
cnf(104,plain,
~ in(X,empty_set),
inference('UR-RESOLVE',[status(thm)],[83,24]) ).
cnf(107,plain,
empty(relation_rng(empty_set)),
inference('HYPERRESOLVE',[status(thm)],[35,24]) ).
cnf(133,plain,
empty_set = relation_dom(empty_set),
inference('UR-RESOLVE',[status(thm)],[13,104,25,104]) ).
cnf(143,plain,
relation_rng(empty_set) = empty_set,
inference('HYPERRESOLVE',[status(thm)],[84,107,24]) ).
cnf(159,plain,
transfinite_sequence(empty_set),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,133,theory(equality)]),30,27,25]) ).
cnf(162,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[18,159,25,27,77]),74,143,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM409+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n029.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 : Thu Jul 7 23:39:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-07T23:39:14
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-07T23:39:14
% 0.18/0.48
% 0.18/0.48 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.18/0.48 WARNING:
% 0.18/0.48 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48 WARNING:
% 0.18/0.48 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48 WARNING:
% 0.18/0.48 |with_non_empty_elements| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48 WARNING:
% 0.18/0.48 |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.52 ; Declaring unordered_pair to be commutative.
% 0.18/0.52
% 0.18/0.52 #||
% 0.18/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.52 % SZS output start Refutation
% See solution above
% 0.18/0.53 ||#
% 0.18/0.53
% 0.18/0.53 ; Summary of computation:
% 0.18/0.53 ; 393 formulas have been input or derived (from 110 formulas).
% 0.18/0.53 ; 162 (41%) were retained. Of these,
% 0.18/0.53 ; 34 (21%) were simplified or subsumed later,
% 0.18/0.53 ; 128 (79%) are still being kept.
% 0.18/0.53 ;
% 0.18/0.53 ; Run time in seconds excluding printing time:
% 0.18/0.53 ; 0.009 14% Read assertion file (1 call)
% 0.18/0.53 ; 0.003 5% Assert (51 calls)
% 0.18/0.53 ; 0.009 14% Process new row (343 calls)
% 0.18/0.53 ; 0.009 14% Resolution (218 calls)
% 0.18/0.53 ; 0.001 2% Paramodulation (109 calls)
% 0.18/0.53 ; 0.000 0% Condensing (51 calls)
% 0.18/0.53 ; 0.002 3% Forward subsumption (51 calls)
% 0.18/0.53 ; 0.000 0% Backward subsumption (51 calls)
% 0.18/0.53 ; 0.001 2% Clause clause subsumption (6 calls)
% 0.18/0.53 ; 0.004 6% Forward simplification (316 calls)
% 0.18/0.53 ; 0.003 5% Backward simplification (162 calls)
% 0.18/0.53 ; 0.000 0% Ordering (82 calls)
% 0.18/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.53 ; 0.001 2% Purity testing (1 call)
% 0.18/0.53 ; 0.022 34% Other
% 0.18/0.53 ; 0.064 Total
% 0.18/0.53 ; 0.067 Real time
% 0.18/0.53 ;
% 0.18/0.53 ; Term-hash-array has 247 terms in all.
% 0.18/0.53 ; Feature-vector-row-index has 50 entries (50 at peak, 51 added, 1 deleted).
% 0.18/0.53 ; Feature-vector-row-index has 181 nodes (181 at peak, 188 added, 7 deleted).
% 0.18/0.53 ; Retrieved 9 possibly forward subsuming rows in 51 calls.
% 0.18/0.53 ; Retrieved 4 possibly backward subsumed rows in 51 calls.
% 0.18/0.53 ; Path-index has 229 entries (229 at peak, 265 added, 36 deleted).
% 0.18/0.53 ; Path-index has 437 nodes (437 at peak, 472 added, 35 deleted).
% 0.18/0.53 ; Trie-index has 229 entries (229 at peak, 265 added, 36 deleted).
% 0.18/0.53 ; Trie-index has 489 nodes (489 at peak, 531 added, 42 deleted).
% 0.18/0.53 ; Retrieved 168 generalization terms in 319 calls.
% 0.18/0.53 ; Retrieved 113 instance terms in 110 calls.
% 0.18/0.53 ; Retrieved 5,036 unifiable terms in 1,406 calls.
% 0.18/0.53 ;
% 0.18/0.53 ; The agenda of rows to give has 31 entries:
% 0.18/0.53 ; 8 with value (4 8) 2 with value (4 12) 1 with value (4 20)
% 0.18/0.53 ; 3 with value (4 9) 2 with value (4 13) 7 with value (4 26)
% 0.18/0.53 ; 2 with value (4 10) 1 with value (4 19) 1 with value (4 35)
% 0.18/0.53 ; 4 with value (4 11)
% 0.18/0.53 Evaluation took:
% 0.18/0.53 0.067 seconds of real time
% 0.18/0.53 0.060261 seconds of user run time
% 0.18/0.53 0.007287 seconds of system run time
% 0.18/0.53 0 calls to %EVAL
% 0.18/0.53 0 page faults and
% 0.18/0.53 3,976,064 bytes consed.
% 0.18/0.53 :PROOF-FOUND
% 0.18/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T23:39:14
% 0.18/0.53 :PROOF-FOUND
% 0.18/0.53 *
%------------------------------------------------------------------------------