TSTP Solution File: SET061-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET061-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 05:06:38 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 5 unt; 1 nHn; 4 RR)
% Number of literals : 7 ( 2 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 5 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(regularity1,axiom,
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(special_classes_lemma,axiom,
~ member(X,intersection(complement(Y),Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',special_classes_lemma) ).
cnf(prove_existence_of_null_class_1,negated_conjecture,
member(z,null_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_existence_of_null_class_1) ).
cnf(126,plain,
intersection(complement(X),X) = null_class,
inference('HYPERRESOLVE',[status(thm)],[special_classes_lemma,regularity1]) ).
cnf(128,plain,
~ member(X,null_class),
inference('REWRITE',[status(thm)],[special_classes_lemma,126,theory(equality)]) ).
cnf(129,plain,
$false,
inference('REWRITE',[status(thm)],[prove_existence_of_null_class_1,128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET061-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n014.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 16:17:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T16:17:35
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-10T16:17:35
% 0.20/0.54
% 0.20/0.54
% 0.20/0.54 #||
% 0.20/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.54 % SZS output start Refutation
% See solution above
% 0.20/0.54 ||#
% 0.20/0.54
% 0.20/0.54 ; Summary of computation:
% 0.20/0.54 ; 160 formulas have been input or derived (from 30 formulas).
% 0.20/0.54 ; 129 (81%) were retained. Of these,
% 0.20/0.54 ; 15 (12%) were simplified or subsumed later,
% 0.20/0.54 ; 114 (88%) are still being kept.
% 0.20/0.54 ;
% 0.20/0.54 ; Run time in seconds:
% 0.20/0.54 ; 0.018 28% Read assertion file (1 call)
% 0.20/0.54 ; 0.003 5% Assert (103 calls)
% 0.20/0.54 ; 0.009 14% Process new row (136 calls)
% 0.20/0.54 ; 0.002 3% Resolution (58 calls)
% 0.20/0.54 ; 0.000 0% Paramodulation (29 calls)
% 0.20/0.54 ; 0.000 0% Factoring (1 call)
% 0.20/0.54 ; 0.002 3% Condensing (71 calls)
% 0.20/0.54 ; 0.001 2% Forward subsumption (71 calls)
% 0.20/0.54 ; 0.001 2% Backward subsumption (69 calls)
% 0.20/0.54 ; 0.000 0% Clause clause subsumption (33 calls)
% 0.20/0.54 ; 0.002 3% Forward simplification (136 calls)
% 0.20/0.54 ; 0.001 2% Backward simplification (117 calls)
% 0.20/0.54 ; 0.003 5% Ordering (43 calls)
% 0.20/0.54 ; 0.001 2% Sortal reasoning (32 calls)
% 0.20/0.54 ; 0.001 2% Purity testing (1 call)
% 0.20/0.54 ; 0.021 32% Other
% 0.20/0.54 ; 0.065 Total
% 0.20/0.54 ; 0.066 Real time
% 0.20/0.54 ;
% 0.20/0.54 ; Term-hash-array has 277 terms in all.
% 0.20/0.54 ; Feature-vector-row-index has 69 entries (69 at peak, 69 added, 0 deleted).
% 0.20/0.54 ; Feature-vector-row-index has 297 nodes (297 at peak, 297 added, 0 deleted).
% 0.20/0.54 ; Retrieved 32 possibly forward subsuming rows in 71 calls.
% 0.20/0.54 ; Retrieved 6 possibly backward subsumed rows in 69 calls.
% 0.20/0.54 ; Path-index has 282 entries (284 at peak, 286 added, 4 deleted).
% 0.20/0.54 ; Path-index has 1,021 nodes (1,023 at peak, 1,024 added, 3 deleted).
% 0.20/0.54 ; Trie-index has 282 entries (284 at peak, 286 added, 4 deleted).
% 0.20/0.54 ; Trie-index has 811 nodes (817 at peak, 819 added, 8 deleted).
% 0.20/0.54 ; Retrieved 63 generalization terms in 280 calls.
% 0.20/0.54 ; Retrieved 69 instance terms in 47 calls.
% 0.20/0.54 ; Retrieved 597 unifiable terms in 134 calls.
% 0.20/0.54 ;
% 0.20/0.54 ; The agenda of rows to process has 3 entries:
% 0.20/0.54 ; 1 with value 10 2 with value 13
% 0.20/0.54 ; The agenda of input rows to give has 73 entries:
% 0.20/0.54 ; 1 with value 4 4 with value 16 1 with value 27
% 0.20/0.54 ; 1 with value 10 3 with value 17 2 with value 30
% 0.20/0.54 ; 10 with value 11 4 with value 18 1 with value 31
% 0.20/0.54 ; 9 with value 12 1 with value 19 1 with value 34
% 0.20/0.54 ; 10 with value 13 4 with value 20 2 with value 35
% 0.20/0.54 ; 6 with value 14 3 with value 21 1 with value 50
% 0.20/0.54 ; 6 with value 15 3 with value 22
% 0.20/0.54 ; The agenda of rows to give has 13 entries:
% 0.20/0.54 ; 1 with value (4 4) 5 with value (4 7) 1 with value (4 9)
% 0.20/0.54 ; 1 with value (4 5) 2 with value (4 8) 3 with value (4 10)
% 0.20/0.54 Evaluation took:
% 0.20/0.54 0.067 seconds of real time
% 0.20/0.54 0.059121 seconds of user run time
% 0.20/0.54 0.008077 seconds of system run time
% 0.20/0.54 0 calls to %EVAL
% 0.20/0.54 0 page faults and
% 0.20/0.54 3,324,888 bytes consed.
% 0.20/0.54 :PROOF-FOUND
% 0.20/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T16:17:35
% 0.20/0.54 :PROOF-FOUND
% 0.20/0.54 *
%------------------------------------------------------------------------------