TSTP Solution File: NUM393+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM393+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 14:10:12 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 8 unt; 2 nHn; 12 RR)
% Number of literals : 20 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 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(5,axiom,
( ~ ordinal(X)
| ~ ordinal(Y)
| ordinal_subset(X,Y)
| ordinal_subset(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connectedness_r1_ordinal1) ).
cnf(7,axiom,
( inclusion_comparable(X,Y)
| ~ subset(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_xboole_0) ).
cnf(18,axiom,
( ~ ordinal(X)
| ~ ordinal(Y)
| ~ ordinal_subset(X,Y)
| subset(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).
cnf(25,negated_conjecture,
ordinal('SKOLEMAAAU13'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_ordinal1) ).
cnf(26,negated_conjecture,
ordinal('SKOLEMAAAU14'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_ordinal1) ).
cnf(27,negated_conjecture,
~ inclusion_comparable('SKOLEMAAAU13','SKOLEMAAAU14'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_ordinal1) ).
cnf(47,plain,
~ subset('SKOLEMAAAU13','SKOLEMAAAU14'),
inference('UR-RESOLVE',[status(thm)],[7,27]) ).
cnf(48,plain,
~ subset('SKOLEMAAAU14','SKOLEMAAAU13'),
inference('UR-RESOLVE',[status(thm)],[7,27]) ).
cnf(55,plain,
( ordinal_subset('SKOLEMAAAU14','SKOLEMAAAU13')
| ordinal_subset('SKOLEMAAAU13','SKOLEMAAAU14') ),
inference('HYPERRESOLVE',[status(thm)],[5,26,25]) ).
cnf(58,plain,
~ ordinal_subset('SKOLEMAAAU13','SKOLEMAAAU14'),
inference('UR-RESOLVE',[status(thm)],[18,47,25,26]) ).
cnf(59,plain,
ordinal_subset('SKOLEMAAAU14','SKOLEMAAAU13'),
inference('REWRITE',[status(thm)],[55,58]) ).
cnf(61,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[18,48,26,25]),59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM393+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 00:37:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T00:37:28
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-06T00:37:28
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (OR (NOT (|inclusion_comparable| ?X ?Y)) (|inclusion_comparable| ?Y ?X)).
% 0.19/0.49 WARNING:
% 0.19/0.49 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.51 ; Declaring inclusion_comparable to be commutative.
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 149 formulas have been input or derived (from 48 formulas).
% 0.19/0.51 ; 61 (41%) were retained. Of these,
% 0.19/0.51 ; 5 ( 8%) were simplified or subsumed later,
% 0.19/0.51 ; 56 (92%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.006 15% Read assertion file (1 call)
% 0.19/0.51 ; 0.002 5% Assert (37 calls)
% 0.19/0.51 ; 0.002 5% Process new row (133 calls)
% 0.19/0.51 ; 0.003 7% Resolution (94 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (47 calls)
% 0.19/0.51 ; 0.000 0% Condensing (27 calls)
% 0.19/0.51 ; 0.001 2% Forward subsumption (27 calls)
% 0.19/0.51 ; 0.001 2% Backward subsumption (23 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (8 calls)
% 0.19/0.51 ; 0.000 0% Forward simplification (107 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (60 calls)
% 0.19/0.51 ; 0.000 0% Ordering (25 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.001 2% Purity testing (1 call)
% 0.19/0.51 ; 0.025 61% Other
% 0.19/0.51 ; 0.041 Total
% 0.19/0.51 ; 0.043 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 72 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 22 entries (23 at peak, 23 added, 1 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 48 nodes (52 at peak, 52 added, 4 deleted).
% 0.19/0.51 ; Retrieved 6 possibly forward subsuming rows in 27 calls.
% 0.19/0.51 ; Retrieved 3 possibly backward subsumed rows in 23 calls.
% 0.19/0.51 ; Path-index has 78 entries (78 at peak, 82 added, 4 deleted).
% 0.19/0.51 ; Path-index has 100 nodes (100 at peak, 103 added, 3 deleted).
% 0.19/0.51 ; Trie-index has 78 entries (78 at peak, 82 added, 4 deleted).
% 0.19/0.51 ; Trie-index has 107 nodes (107 at peak, 111 added, 4 deleted).
% 0.19/0.51 ; Retrieved 44 generalization terms in 96 calls.
% 0.19/0.51 ; Retrieved 41 instance terms in 36 calls.
% 0.19/0.51 ; Retrieved 813 unifiable terms in 384 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 2 entries:
% 0.19/0.51 ; 1 with value 6 1 with value 8
% 0.19/0.51 ; The agenda of rows to give has 11 entries:
% 0.19/0.51 ; 1 with value (4 5) 3 with value (4 7) 4 with value (4 9)
% 0.19/0.51 ; 1 with value (4 6) 1 with value (4 8) 1 with value (4 10)
% 0.19/0.51 Evaluation took:
% 0.19/0.52 0.043 seconds of real time
% 0.19/0.52 0.036745 seconds of user run time
% 0.19/0.52 0.006421 seconds of system run time
% 0.19/0.52 0 calls to %EVAL
% 0.19/0.52 0 page faults and
% 0.19/0.52 2,554,728 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T00:37:28
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------