TSTP Solution File: NUM414+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM414+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : Mon Jul 18 14:10:19 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 10 unt; 3 nHn; 14 RR)
% Number of literals : 23 ( 2 equ; 12 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
( ~ ordinal(X)
| ~ ordinal(Y)
| ordinal_subset(X,Y)
| ordinal_subset(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connectedness_r1_ordinal1) ).
cnf(12,axiom,
( proper_subset(X,Y)
| ~ subset(X,Y)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_xboole_0) ).
cnf(35,axiom,
( ~ ordinal(X)
| ~ ordinal(Y)
| ~ ordinal_subset(X,Y)
| subset(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).
cnf(45,negated_conjecture,
ordinal('SKOLEMAAAU16'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_ordinal1) ).
cnf(46,negated_conjecture,
ordinal('SKOLEMAAAU17'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_ordinal1) ).
cnf(47,negated_conjecture,
~ proper_subset('SKOLEMAAAU16','SKOLEMAAAU17'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_ordinal1) ).
cnf(48,negated_conjecture,
'SKOLEMAAAU16' != 'SKOLEMAAAU17',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_ordinal1) ).
cnf(49,negated_conjecture,
~ proper_subset('SKOLEMAAAU17','SKOLEMAAAU16'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_ordinal1) ).
cnf(84,plain,
~ subset('SKOLEMAAAU16','SKOLEMAAAU17'),
inference('UR-RESOLVE',[status(thm)],[12,47,48]) ).
cnf(85,plain,
~ subset('SKOLEMAAAU17','SKOLEMAAAU16'),
inference('UR-RESOLVE',[status(thm)],[12,49,48]) ).
cnf(87,plain,
( ordinal_subset('SKOLEMAAAU17','SKOLEMAAAU16')
| ordinal_subset('SKOLEMAAAU16','SKOLEMAAAU17') ),
inference('HYPERRESOLVE',[status(thm)],[9,46,45]) ).
cnf(97,plain,
~ ordinal_subset('SKOLEMAAAU16','SKOLEMAAAU17'),
inference('UR-RESOLVE',[status(thm)],[35,84,45,46]) ).
cnf(98,plain,
ordinal_subset('SKOLEMAAAU17','SKOLEMAAAU16'),
inference('REWRITE',[status(thm)],[87,97]) ).
cnf(100,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[35,85,46,45]),98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM414+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n019.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 : Tue Jul 5 18:45:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-05T18:45:23
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-05T18:45:23
% 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 |transfinite_sequence| 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.
% 0.18/0.48 WARNING:
% 0.18/0.48 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48 WARNING:
% 0.18/0.48 |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 #||
% 0.18/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation
% See solution above
% 0.18/0.51 ||#
% 0.18/0.51
% 0.18/0.51 ; Summary of computation:
% 0.18/0.51 ; 279 formulas have been input or derived (from 69 formulas).
% 0.18/0.51 ; 100 (36%) were retained. Of these,
% 0.18/0.51 ; 19 (19%) were simplified or subsumed later,
% 0.18/0.51 ; 81 (81%) are still being kept.
% 0.18/0.51 ;
% 0.18/0.51 ; Run time in seconds excluding printing time:
% 0.18/0.51 ; 0.007 14% Read assertion file (1 call)
% 0.18/0.51 ; 0.003 6% Assert (42 calls)
% 0.18/0.51 ; 0.005 10% Process new row (266 calls)
% 0.18/0.51 ; 0.000 0% Resolution (136 calls)
% 0.18/0.51 ; 0.001 2% Paramodulation (68 calls)
% 0.18/0.51 ; 0.001 2% Condensing (45 calls)
% 0.18/0.51 ; 0.001 2% Forward subsumption (45 calls)
% 0.18/0.51 ; 0.001 2% Backward subsumption (35 calls)
% 0.18/0.51 ; 0.000 0% Clause clause subsumption (14 calls)
% 0.18/0.51 ; 0.003 6% Forward simplification (229 calls)
% 0.18/0.51 ; 0.002 4% Backward simplification (99 calls)
% 0.18/0.51 ; 0.001 2% Ordering (45 calls)
% 0.18/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.51 ; 0.001 2% Purity testing (1 call)
% 0.18/0.51 ; 0.023 47% Other
% 0.18/0.51 ; 0.049 Total
% 0.18/0.51 ; 0.051 Real time
% 0.18/0.51 ;
% 0.18/0.51 ; Term-hash-array has 114 terms in all.
% 0.18/0.51 ; Feature-vector-row-index has 34 entries (35 at peak, 35 added, 1 deleted).
% 0.18/0.51 ; Feature-vector-row-index has 68 nodes (68 at peak, 68 added, 0 deleted).
% 0.18/0.51 ; Retrieved 18 possibly forward subsuming rows in 45 calls.
% 0.18/0.51 ; Retrieved 6 possibly backward subsumed rows in 35 calls.
% 0.18/0.51 ; Path-index has 108 entries (108 at peak, 126 added, 18 deleted).
% 0.18/0.51 ; Path-index has 124 nodes (124 at peak, 142 added, 18 deleted).
% 0.18/0.51 ; Trie-index has 108 entries (108 at peak, 126 added, 18 deleted).
% 0.18/0.51 ; Trie-index has 143 nodes (143 at peak, 162 added, 19 deleted).
% 0.18/0.51 ; Retrieved 121 generalization terms in 231 calls.
% 0.18/0.51 ; Retrieved 68 instance terms in 63 calls.
% 0.18/0.51 ; Retrieved 1,493 unifiable terms in 688 calls.
% 0.18/0.51 ;
% 0.18/0.51 ; The agenda of rows to process has 2 entries:
% 0.18/0.51 ; 1 with value 6 1 with value 8
% 0.18/0.51 ; The agenda of rows to give has 19 entries:
% 0.18/0.51 ; 1 with value (4 5) 4 with value (4 7) 11 with value (4 9)
% 0.18/0.51 ; 1 with value (4 6) 1 with value (4 8) 1 with value (4 10)
% 0.18/0.51 Evaluation took:
% 0.18/0.51 0.051 seconds of real time
% 0.18/0.51 0.042216 seconds of user run time
% 0.18/0.51 0.008979 seconds of system run time
% 0.18/0.51 0 calls to %EVAL
% 0.18/0.51 0 page faults and
% 0.18/0.51 3,005,112 bytes consed.
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T18:45:23
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 *
%------------------------------------------------------------------------------