TSTP Solution File: SET065-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET065-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 05:06:46 EDT 2022
% Result : Unsatisfiable 0.19s 0.54s
% 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/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(inductive1,axiom,
( ~ inductive(X)
| member(null_class,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',inductive1) ).
cnf(omega_is_inductive1,axiom,
inductive(omega),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_a_set_1) ).
cnf(120,plain,
member(null_class,omega),
inference('HYPERRESOLVE',[status(thm)],[inductive1,omega_is_inductive1]) ).
cnf(157,plain,
~ member(null_class,X),
inference('UR-RESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_null_class_is_a_set_1]) ).
cnf(158,plain,
$false,
inference('REWRITE',[status(thm)],[120,157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET065-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 19:46:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-10T19:46:08
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-10T19:46:08
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54 #||
% 0.19/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.54 % SZS output start Refutation
% See solution above
% 0.19/0.54 ||#
% 0.19/0.54
% 0.19/0.54 ; Summary of computation:
% 0.19/0.54 ; 238 formulas have been input or derived (from 46 formulas).
% 0.19/0.54 ; 158 (66%) were retained. Of these,
% 0.19/0.54 ; 20 (13%) were simplified or subsumed later,
% 0.19/0.54 ; 138 (87%) are still being kept.
% 0.19/0.54 ;
% 0.19/0.55 ; Run time in seconds excluding printing time:
% 0.19/0.55 ; 0.019 26% Read assertion file (1 call)
% 0.19/0.55 ; 0.003 4% Assert (107 calls)
% 0.19/0.55 ; 0.014 19% Process new row (175 calls)
% 0.19/0.55 ; 0.004 5% Resolution (90 calls)
% 0.19/0.55 ; 0.001 1% Paramodulation (45 calls)
% 0.19/0.55 ; 0.000 0% Factoring (3 calls)
% 0.19/0.55 ; 0.004 5% Condensing (88 calls)
% 0.19/0.55 ; 0.000 0% Forward subsumption (88 calls)
% 0.19/0.55 ; 0.001 1% Backward subsumption (85 calls)
% 0.19/0.55 ; 0.000 0% Clause clause subsumption (50 calls)
% 0.19/0.55 ; 0.004 5% Forward simplification (174 calls)
% 0.19/0.55 ; 0.000 0% Backward simplification (146 calls)
% 0.19/0.55 ; 0.001 1% Ordering (77 calls)
% 0.19/0.55 ; 0.001 1% Sortal reasoning (32 calls)
% 0.19/0.55 ; 0.000 0% Purity testing (1 call)
% 0.19/0.55 ; 0.022 30% Other
% 0.19/0.55 ; 0.074 Total
% 0.19/0.55 ; 0.077 Real time
% 0.19/0.55 ;
% 0.19/0.55 ; Term-hash-array has 330 terms in all.
% 0.19/0.55 ; Feature-vector-row-index has 83 entries (85 at peak, 85 added, 2 deleted).
% 0.19/0.55 ; Feature-vector-row-index has 352 nodes (361 at peak, 361 added, 9 deleted).
% 0.19/0.55 ; Retrieved 45 possibly forward subsuming rows in 88 calls.
% 0.19/0.55 ; Retrieved 10 possibly backward subsumed rows in 85 calls.
% 0.19/0.55 ; Path-index has 329 entries (335 at peak, 338 added, 9 deleted).
% 0.19/0.55 ; Path-index has 1,132 nodes (1,137 at peak, 1,140 added, 8 deleted).
% 0.19/0.55 ; Trie-index has 329 entries (335 at peak, 338 added, 9 deleted).
% 0.19/0.55 ; Trie-index has 932 nodes (942 at peak, 949 added, 17 deleted).
% 0.19/0.55 ; Retrieved 81 generalization terms in 351 calls.
% 0.19/0.55 ; Retrieved 85 instance terms in 60 calls.
% 0.19/0.55 ; Retrieved 1,971 unifiable terms in 244 calls.
% 0.19/0.55 ;
% 0.19/0.55 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.19/0.55 ; 1 with value 0
% 0.19/0.55 ; The agenda of rows to process has 27 entries:
% 0.19/0.55 ; 6 with value 5 2 with value 13 1 with value 18
% 0.19/0.55 ; 1 with value 8 2 with value 14 4 with value 19
% 0.19/0.55 ; 3 with value 11 1 with value 15 3 with value 20
% 0.19/0.55 ; 4 with value 12
% 0.19/0.55 ; The agenda of input rows to give has 59 entries:
% 0.19/0.55 ; 8 with value 12 4 with value 18 2 with value 30
% 0.19/0.55 ; 10 with value 13 1 with value 19 1 with value 31
% 0.19/0.55 ; 5 with value 14 4 with value 20 1 with value 34
% 0.19/0.55 ; 6 with value 15 3 with value 21 2 with value 35
% 0.19/0.55 ; 4 with value 16 3 with value 22 1 with value 50
% 0.19/0.55 ; 3 with value 17 1 with value 27
% 0.19/0.55 ; The agenda of rows to give has 36 entries:
% 0.19/0.55 ; 2 with value (4 4) 2 with value (4 9) 2 with value (4 14)
% 0.19/0.55 ; 2 with value (4 5) 3 with value (4 10) 2 with value (4 15)
% 0.19/0.55 ; 4 with value (4 7) 1 with value (4 11) 4 with value (4 17)
% 0.19/0.55 ; 8 with value (4 8) 4 with value (4 13) 2 with value (4 18)
% 0.19/0.55 Evaluation took:
% 0.19/0.55 0.077 seconds of real time
% 0.19/0.55 0.068832 seconds of user run time
% 0.19/0.55 0.008076 seconds of system run time
% 0.19/0.55 0 calls to %EVAL
% 0.19/0.55 0 page faults and
% 0.19/0.55 3,762,632 bytes consed.
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T19:46:08
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 *
%------------------------------------------------------------------------------