TSTP Solution File: SET065-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET065-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 05:06:45 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; 0 nHn; 7 RR)
% Number of literals : 11 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 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(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(inductive1,axiom,
( ~ inductive(X)
| member(null_class,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',inductive1) ).
cnf(omega_is_inductive1,axiom,
inductive(omega),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',omega_is_inductive1) ).
cnf(prove_null_class_is_a_set_1,negated_conjecture,
~ member(null_class,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_is_a_set_1) ).
cnf(105,plain,
member(null_class,omega),
inference('HYPERRESOLVE',[status(thm)],[inductive1,omega_is_inductive1]) ).
cnf(132,plain,
~ member(null_class,X),
inference('UR-RESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_null_class_is_a_set_1]) ).
cnf(133,plain,
$false,
inference('REWRITE',[status(thm)],[105,132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET065-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n010.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 : Sun Jul 10 21:52:00 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 2022-07-10T21:52:00
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-10T21:52:00
% 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 ; 176 formulas have been input or derived (from 40 formulas).
% 0.19/0.53 ; 133 (76%) were retained. Of these,
% 0.19/0.53 ; 19 (14%) were simplified or subsumed later,
% 0.19/0.53 ; 114 (86%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds:
% 0.19/0.53 ; 0.017 27% Read assertion file (1 call)
% 0.19/0.53 ; 0.002 3% Assert (92 calls)
% 0.19/0.53 ; 0.014 22% Process new row (138 calls)
% 0.19/0.53 ; 0.001 2% Resolution (78 calls)
% 0.19/0.53 ; 0.002 3% Paramodulation (39 calls)
% 0.19/0.53 ; 0.000 0% Factoring (2 calls)
% 0.19/0.53 ; 0.000 0% Condensing (70 calls)
% 0.19/0.53 ; 0.002 3% Forward subsumption (70 calls)
% 0.19/0.53 ; 0.000 0% Backward subsumption (69 calls)
% 0.19/0.53 ; 0.000 0% Clause clause subsumption (28 calls)
% 0.19/0.53 ; 0.003 5% Forward simplification (138 calls)
% 0.19/0.53 ; 0.001 2% Backward simplification (121 calls)
% 0.19/0.53 ; 0.000 0% Ordering (52 calls)
% 0.19/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.022 34% Other
% 0.19/0.53 ; 0.064 Total
% 0.19/0.53 ; 0.066 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 295 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 67 entries (69 at peak, 69 added, 2 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 307 nodes (316 at peak, 316 added, 9 deleted).
% 0.19/0.53 ; Retrieved 27 possibly forward subsuming rows in 70 calls.
% 0.19/0.53 ; Retrieved 6 possibly backward subsumed rows in 69 calls.
% 0.19/0.53 ; Path-index has 296 entries (302 at peak, 303 added, 7 deleted).
% 0.19/0.53 ; Path-index has 1,066 nodes (1,071 at peak, 1,072 added, 6 deleted).
% 0.19/0.53 ; Trie-index has 296 entries (302 at peak, 303 added, 7 deleted).
% 0.19/0.53 ; Trie-index has 868 nodes (878 at peak, 879 added, 11 deleted).
% 0.19/0.53 ; Retrieved 65 generalization terms in 280 calls.
% 0.19/0.53 ; Retrieved 73 instance terms in 51 calls.
% 0.19/0.53 ; Retrieved 1,297 unifiable terms in 205 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.19/0.53 ; 1 with value 0
% 0.19/0.53 ; The agenda of rows to process has 11 entries:
% 0.19/0.53 ; 1 with value 5 1 with value 12 1 with value 18
% 0.19/0.53 ; 1 with value 8 2 with value 13 3 with value 19
% 0.19/0.53 ; 1 with value 11 1 with value 15
% 0.19/0.53 ; The agenda of input rows to give has 51 entries:
% 0.19/0.53 ; 7 with value 12 1 with value 18 2 with value 30
% 0.19/0.53 ; 8 with value 13 1 with value 19 1 with value 31
% 0.19/0.53 ; 5 with value 14 4 with value 20 1 with value 34
% 0.19/0.53 ; 6 with value 15 3 with value 21 2 with value 35
% 0.19/0.53 ; 2 with value 16 3 with value 22 1 with value 50
% 0.19/0.53 ; 3 with value 17 1 with value 27
% 0.19/0.53 ; The agenda of rows to give has 25 entries:
% 0.19/0.53 ; 1 with value (4 4) 2 with value (4 9) 4 with value (4 13)
% 0.19/0.53 ; 2 with value (4 5) 2 with value (4 10) 2 with value (4 15)
% 0.19/0.53 ; 4 with value (4 7) 1 with value (4 11) 2 with value (4 17)
% 0.19/0.53 ; 5 with value (4 8)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.066 seconds of real time
% 0.19/0.53 0.053128 seconds of user run time
% 0.19/0.53 0.013216 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 3,394,696 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T21:52:00
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------