TSTP Solution File: SET063-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET063-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 05:06:43 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 6 unt; 1 nHn; 7 RR)
% Number of literals : 11 ( 2 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(regularity1,axiom,
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(existence_of_null_class,axiom,
~ member(X,null_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_null_class) ).
cnf(prove_corollary_of_null_class_is_subclass_1,negated_conjecture,
subclass(x,null_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_1) ).
cnf(prove_corollary_of_null_class_is_subclass_2,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_2) ).
cnf(129,plain,
member(regular(x),x),
inference('UR-RESOLVE',[status(thm)],[regularity1,prove_corollary_of_null_class_is_subclass_2]) ).
cnf(147,plain,
~ member(X,x),
inference('UR-RESOLVE',[status(thm)],[subclass_members,prove_corollary_of_null_class_is_subclass_1,existence_of_null_class]) ).
cnf(148,plain,
$false,
inference('REWRITE',[status(thm)],[129,147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET063-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 19:37:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T19:37:40
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-10T19:37:40
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 209 formulas have been input or derived (from 45 formulas).
% 0.19/0.53 ; 148 (71%) were retained. Of these,
% 0.19/0.53 ; 15 (10%) were simplified or subsumed later,
% 0.19/0.53 ; 133 (90%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.018 26% Read assertion file (1 call)
% 0.19/0.53 ; 0.005 7% Assert (106 calls)
% 0.19/0.53 ; 0.007 10% Process new row (161 calls)
% 0.19/0.53 ; 0.004 6% Resolution (88 calls)
% 0.19/0.53 ; 0.002 3% Paramodulation (44 calls)
% 0.19/0.53 ; 0.000 0% Factoring (2 calls)
% 0.19/0.53 ; 0.001 1% Condensing (79 calls)
% 0.19/0.53 ; 0.004 6% Forward subsumption (79 calls)
% 0.19/0.53 ; 0.001 1% Backward subsumption (77 calls)
% 0.19/0.54 ; 0.000 0% Clause clause subsumption (41 calls)
% 0.19/0.54 ; 0.004 6% Forward simplification (160 calls)
% 0.19/0.54 ; 0.002 3% Backward simplification (136 calls)
% 0.19/0.54 ; 0.000 0% Ordering (57 calls)
% 0.19/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.54 ; 0.000 0% Purity testing (1 call)
% 0.19/0.54 ; 0.022 31% Other
% 0.19/0.54 ; 0.070 Total
% 0.19/0.54 ; 0.072 Real time
% 0.19/0.54 ;
% 0.19/0.54 ; Term-hash-array has 312 terms in all.
% 0.19/0.54 ; Feature-vector-row-index has 77 entries (77 at peak, 77 added, 0 deleted).
% 0.19/0.54 ; Feature-vector-row-index has 328 nodes (328 at peak, 328 added, 0 deleted).
% 0.19/0.54 ; Retrieved 38 possibly forward subsuming rows in 79 calls.
% 0.19/0.54 ; Retrieved 8 possibly backward subsumed rows in 77 calls.
% 0.19/0.54 ; Path-index has 316 entries (318 at peak, 321 added, 5 deleted).
% 0.19/0.54 ; Path-index has 1,083 nodes (1,085 at peak, 1,088 added, 5 deleted).
% 0.19/0.54 ; Trie-index has 316 entries (318 at peak, 321 added, 5 deleted).
% 0.19/0.54 ; Trie-index has 888 nodes (891 at peak, 898 added, 10 deleted).
% 0.19/0.54 ; Retrieved 78 generalization terms in 323 calls.
% 0.19/0.54 ; Retrieved 80 instance terms in 58 calls.
% 0.19/0.54 ; Retrieved 1,805 unifiable terms in 240 calls.
% 0.19/0.54 ;
% 0.19/0.54 ; The agenda of rows to process has 17 entries:
% 0.19/0.54 ; 4 with value 5 1 with value 12 1 with value 18
% 0.19/0.54 ; 1 with value 8 2 with value 13 3 with value 19
% 0.19/0.54 ; 4 with value 11 1 with value 15
% 0.19/0.54 ; The agenda of input rows to give has 60 entries:
% 0.19/0.54 ; 8 with value 12 4 with value 18 2 with value 30
% 0.19/0.54 ; 10 with value 13 1 with value 19 1 with value 31
% 0.19/0.54 ; 6 with value 14 4 with value 20 1 with value 34
% 0.19/0.54 ; 6 with value 15 3 with value 21 2 with value 35
% 0.19/0.54 ; 4 with value 16 3 with value 22 1 with value 50
% 0.19/0.54 ; 3 with value 17 1 with value 27
% 0.19/0.54 ; The agenda of rows to give has 29 entries:
% 0.19/0.54 ; 1 with value (4 4) 2 with value (4 9) 4 with value (4 13)
% 0.19/0.54 ; 3 with value (4 5) 3 with value (4 10) 2 with value (4 15)
% 0.19/0.54 ; 4 with value (4 7) 1 with value (4 11) 2 with value (4 17)
% 0.19/0.54 ; 7 with value (4 8)
% 0.19/0.54 Evaluation took:
% 0.19/0.54 0.072 seconds of real time
% 0.19/0.54 0.06815 seconds of user run time
% 0.19/0.54 0.004121 seconds of system run time
% 0.19/0.54 0 calls to %EVAL
% 0.19/0.54 0 page faults and
% 0.19/0.54 3,623,608 bytes consed.
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T19:37:40
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 *
%------------------------------------------------------------------------------