%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET064-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 05:06:44 EDT 2022
% Result : Unsatisfiable 0.11s 0.37s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 4 unt; 1 nHn; 5 RR)
% Number of literals : 8 ( 2 equ; 4 neg)
% Maximal clause size : 2 ( 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; 0-2 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(corollary_of_null_class_is_subclass,axiom,
( ~ subclass(X,null_class)
| X = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_of_null_class_is_subclass) ).
cnf(prove_null_class_is_unique_1,negated_conjecture,
z != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_unique_1) ).
cnf(prove_null_class_is_unique_2,negated_conjecture,
~ member(not_subclass_element(z,null_class),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_unique_2) ).
cnf(121,plain,
~ subclass(z,null_class),
inference('UR-RESOLVE',[status(thm)],[corollary_of_null_class_is_subclass,prove_null_class_is_unique_1]) ).
cnf(135,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[not_subclass_members1,prove_null_class_is_unique_2]),121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET064-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.07 % Command : run-snark %s %d
% 0.07/0.26 % Computer : n017.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Sun Jul 10 02:34:17 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.11/0.33 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34 *
% 0.11/0.34 *
% 0.11/0.34 #<PACKAGE "SNARK-USER">
% 0.11/0.34 *
% 0.11/0.34 SNARK-TPTP-OPTIONS
% 0.11/0.34 *
% 0.11/0.34 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.11/0.34 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.11/0.34 (USE-FACTORING :POS)
% 0.11/0.34 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.11/0.34 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.11/0.34 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.11/0.34 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.11/0.34 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.11/0.34 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.11/0.34 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.11/0.34 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.11/0.34 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.11/0.34 (DECLARE-TPTP-SYMBOLS2))
% 0.11/0.34 *
% 0.11/0.34 "."
% 0.11/0.34 *
% 0.11/0.34 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T02:34:17
% 0.11/0.34 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-10T02:34:17
% 0.11/0.37
% 0.11/0.37
% 0.11/0.37 #||
% 0.11/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % SZS output start Refutation
% See solution above
% 0.11/0.37 ||#
% 0.11/0.37
% 0.11/0.37 ; Summary of computation:
% 0.11/0.37 ; 174 formulas have been input or derived (from 36 formulas).
% 0.11/0.37 ; 135 (78%) were retained. Of these,
% 0.11/0.37 ; 14 (10%) were simplified or subsumed later,
% 0.11/0.37 ; 121 (90%) are still being kept.
% 0.11/0.37 ;
% 0.11/0.37 ; Run time in seconds:
% 0.11/0.37 ; 0.008 25% Read assertion file (1 call)
% 0.11/0.37 ; 0.002 6% Assert (107 calls)
% 0.11/0.37 ; 0.005 16% Process new row (148 calls)
% 0.11/0.37 ; 0.001 3% Resolution (70 calls)
% 0.11/0.37 ; 0.001 3% Paramodulation (35 calls)
% 0.11/0.37 ; 0.000 0% Factoring (2 calls)
% 0.11/0.37 ; 0.000 0% Condensing (74 calls)
% 0.11/0.37 ; 0.001 3% Forward subsumption (74 calls)
% 0.11/0.37 ; 0.001 3% Backward subsumption (72 calls)
% 0.11/0.37 ; 0.000 0% Clause clause subsumption (33 calls)
% 0.11/0.37 ; 0.001 3% Forward simplification (147 calls)
% 0.11/0.37 ; 0.001 3% Backward simplification (123 calls)
% 0.11/0.37 ; 0.000 0% Ordering (44 calls)
% 0.11/0.37 ; 0.000 0% Sortal reasoning (32 calls)
% 0.11/0.37 ; 0.000 0% Purity testing (1 call)
% 0.11/0.37 ; 0.011 34% Other
% 0.11/0.37 ; 0.032 Total
% 0.11/0.37 ; 0.033 Real time
% 0.11/0.37 ;
% 0.11/0.37 ; Term-hash-array has 288 terms in all.
% 0.11/0.37 ; Feature-vector-row-index has 72 entries (72 at peak, 72 added, 0 deleted).
% 0.11/0.37 ; Feature-vector-row-index has 311 nodes (311 at peak, 311 added, 0 deleted).
% 0.11/0.37 ; Retrieved 32 possibly forward subsuming rows in 74 calls.
% 0.11/0.37 ; Retrieved 6 possibly backward subsumed rows in 72 calls.
% 0.11/0.37 ; Path-index has 294 entries (294 at peak, 297 added, 3 deleted).
% 0.11/0.37 ; Path-index has 1,038 nodes (1,038 at peak, 1,041 added, 3 deleted).
% 0.11/0.37 ; Trie-index has 294 entries (294 at peak, 297 added, 3 deleted).
% 0.11/0.37 ; Trie-index has 835 nodes (835 at peak, 842 added, 7 deleted).
% 0.11/0.37 ; Retrieved 69 generalization terms in 292 calls.
% 0.11/0.37 ; Retrieved 71 instance terms in 50 calls.
% 0.11/0.37 ; Retrieved 755 unifiable terms in 163 calls.
% 0.11/0.37 ;
% 0.11/0.37 ; The agenda of rows to process has 2 entries:
% 0.11/0.37 ; 1 with value 5 1 with value 12
% 0.11/0.37 ; The agenda of input rows to give has 70 entries:
% 0.11/0.37 ; 9 with value 11 3 with value 17 1 with value 27
% 0.11/0.37 ; 9 with value 12 4 with value 18 2 with value 30
% 0.11/0.37 ; 10 with value 13 1 with value 19 1 with value 31
% 0.11/0.37 ; 6 with value 14 4 with value 20 1 with value 34
% 0.11/0.37 ; 6 with value 15 3 with value 21 2 with value 35
% 0.11/0.37 ; 4 with value 16 3 with value 22 1 with value 50
% 0.11/0.37 ; The agenda of rows to give has 16 entries:
% 0.11/0.37 ; 1 with value (4 4) 2 with value (4 8) 3 with value (4 10)
% 0.11/0.37 ; 2 with value (4 5) 1 with value (4 9) 2 with value (4 13)
% 0.11/0.37 ; 5 with value (4 7)
% 0.11/0.37 Evaluation took:
% 0.11/0.37 0.033 seconds of real time
% 0.11/0.37 0.029698 seconds of user run time
% 0.11/0.37 0.003755 seconds of system run time
% 0.11/0.37 0 calls to %EVAL
% 0.11/0.37 0 page faults and
% 0.11/0.37 3,393,896 bytes consed.
% 0.11/0.37 :PROOF-FOUND
% 0.11/0.37 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T02:34:17
% 0.11/0.37 :PROOF-FOUND
% 0.11/0.37 *
%------------------------------------------------------------------------------