%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM411+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 14:10:18 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 15 ( 9 unt; 0 nHn; 15 RR)
% Number of literals : 28 ( 0 equ; 15 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 13 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(10,axiom,
( ~ relation(X)
| ~ function(X)
| ~ transfinite_sequence(X)
| ~ transfinite_sequence_of(X,Y)
| subset(relation_rng(X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_ordinal1) ).
cnf(11,axiom,
( ~ relation(X)
| ~ function(X)
| ~ transfinite_sequence(X)
| transfinite_sequence_of(X,Y)
| ~ subset(relation_rng(X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_ordinal1) ).
cnf(12,axiom,
( ~ transfinite_sequence_of(X,Y)
| relation(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_ordinal1) ).
cnf(13,axiom,
( ~ transfinite_sequence_of(X,Y)
| function(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_ordinal1) ).
cnf(14,axiom,
( ~ transfinite_sequence_of(X,Y)
| transfinite_sequence(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_ordinal1) ).
cnf(62,axiom,
( ~ subset(X,Y)
| ~ subset(Y,Z)
| subset(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
cnf(66,negated_conjecture,
subset('SKOLEMAAAU17','SKOLEMAAAU18'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_ordinal1) ).
cnf(67,negated_conjecture,
transfinite_sequence_of('SKOLEMAAAU19','SKOLEMAAAU17'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_ordinal1) ).
cnf(68,negated_conjecture,
~ transfinite_sequence_of('SKOLEMAAAU19','SKOLEMAAAU18'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_ordinal1) ).
cnf(86,plain,
relation('SKOLEMAAAU19'),
inference('HYPERRESOLVE',[status(thm)],[12,67]) ).
cnf(88,plain,
function('SKOLEMAAAU19'),
inference('HYPERRESOLVE',[status(thm)],[13,67]) ).
cnf(90,plain,
transfinite_sequence('SKOLEMAAAU19'),
inference('HYPERRESOLVE',[status(thm)],[14,67]) ).
cnf(110,plain,
subset(relation_rng('SKOLEMAAAU19'),'SKOLEMAAAU17'),
inference('HYPERRESOLVE',[status(thm)],[10,90,86,88,67]) ).
cnf(111,plain,
~ subset(relation_rng('SKOLEMAAAU19'),'SKOLEMAAAU18'),
inference('UR-RESOLVE',[status(thm)],[11,90,86,88,68]) ).
cnf(128,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[62,110,66]),111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM411+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n011.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 : Tue Jul 5 05:26:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T05:26:52
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-05T05:26:52
% 0.21/0.51 WARNING:
% 0.21/0.51 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.51 WARNING:
% 0.21/0.51 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.51 WARNING:
% 0.21/0.51 |with_non_empty_elements| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.51 WARNING:
% 0.21/0.51 |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.54
% 0.21/0.54
% 0.21/0.54 #||
% 0.21/0.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.54 % SZS output start Refutation
% See solution above
% 0.21/0.54 ||#
% 0.21/0.54
% 0.21/0.54 ; Summary of computation:
% 0.21/0.54 ; 343 formulas have been input or derived (from 95 formulas).
% 0.21/0.54 ; 128 (37%) were retained. Of these,
% 0.21/0.54 ; 30 (23%) were simplified or subsumed later,
% 0.21/0.54 ; 98 (77%) are still being kept.
% 0.21/0.54 ;
% 0.21/0.54 ; Run time in seconds excluding printing time:
% 0.21/0.54 ; 0.008 16% Read assertion file (1 call)
% 0.21/0.54 ; 0.003 6% Assert (43 calls)
% 0.21/0.54 ; 0.006 12% Process new row (297 calls)
% 0.21/0.54 ; 0.008 16% Resolution (188 calls)
% 0.21/0.54 ; 0.000 0% Paramodulation (94 calls)
% 0.21/0.54 ; 0.001 2% Condensing (30 calls)
% 0.21/0.54 ; 0.000 0% Forward subsumption (30 calls)
% 0.21/0.54 ; 0.000 0% Backward subsumption (30 calls)
% 0.21/0.54 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.21/0.54 ; 0.001 2% Forward simplification (274 calls)
% 0.21/0.54 ; 0.002 4% Backward simplification (128 calls)
% 0.21/0.54 ; 0.000 0% Ordering (27 calls)
% 0.21/0.54 ; 0.001 2% Sortal reasoning (32 calls)
% 0.21/0.54 ; 0.000 0% Purity testing (1 call)
% 0.21/0.54 ; 0.021 41% Other
% 0.21/0.54 ; 0.051 Total
% 0.21/0.54 ; 0.052 Real time
% 0.21/0.54 ;
% 0.21/0.54 ; Term-hash-array has 145 terms in all.
% 0.21/0.54 ; Feature-vector-row-index has 30 entries (30 at peak, 30 added, 0 deleted).
% 0.21/0.54 ; Feature-vector-row-index has 67 nodes (67 at peak, 67 added, 0 deleted).
% 0.21/0.54 ; Retrieved 6 possibly forward subsuming rows in 30 calls.
% 0.21/0.54 ; Retrieved 2 possibly backward subsumed rows in 30 calls.
% 0.21/0.54 ; Path-index has 133 entries (133 at peak, 163 added, 30 deleted).
% 0.21/0.54 ; Path-index has 193 nodes (193 at peak, 223 added, 30 deleted).
% 0.21/0.54 ; Trie-index has 133 entries (133 at peak, 163 added, 30 deleted).
% 0.21/0.54 ; Trie-index has 206 nodes (206 at peak, 240 added, 34 deleted).
% 0.21/0.54 ; Retrieved 154 generalization terms in 253 calls.
% 0.21/0.54 ; Retrieved 101 instance terms in 97 calls.
% 0.21/0.54 ; Retrieved 1,658 unifiable terms in 831 calls.
% 0.21/0.54 ;
% 0.21/0.54 ; The agenda of rows to process has 4 entries:
% 0.21/0.54 ; 3 with value 9 1 with value 10
% 0.21/0.54 ; The agenda of rows to give has 16 entries:
% 0.21/0.54 ; 8 with value (4 8) 2 with value (4 10) 2 with value (4 13)
% 0.21/0.54 ; 2 with value (4 9) 2 with value (4 11)
% 0.21/0.54 Evaluation took:
% 0.21/0.54 0.053 seconds of real time
% 0.21/0.54 0.046721 seconds of user run time
% 0.21/0.54 0.006177 seconds of system run time
% 0.21/0.54 0 calls to %EVAL
% 0.21/0.54 0 page faults and
% 0.21/0.54 3,197,368 bytes consed.
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T05:26:52
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 *
%------------------------------------------------------------------------------