TSTP Solution File: SET082-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET082-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 05:07:03 EDT 2022
% Result : Unsatisfiable 0.40s 0.58s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 6 unt; 2 nHn; 5 RR)
% Number of literals : 14 ( 4 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 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(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(null_unordered_pair,axiom,
( unordered_pair(X,Y) = null_class
| member(X,universal_class)
| member(Y,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_unordered_pair) ).
cnf(prove_singleton_is_null_class_1,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_is_null_class_1) ).
cnf(prove_singleton_is_null_class_2,negated_conjecture,
singleton(x) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_is_null_class_2) ).
cnf(194,plain,
~ member(x,X),
inference('UR-RESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_singleton_is_null_class_1]) ).
cnf(322,plain,
( singleton(X) = null_class
| member(X,universal_class) ),
inference('REWRITE',[status(thm)],[inference('FACTOR',[status(thm)],[null_unordered_pair]),singleton_set,theory(equality)]) ).
cnf(338,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[322,prove_singleton_is_null_class_2]),194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET082-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n018.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 : Mon Jul 11 05:20:43 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T05:20:43
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-11T05:20:43
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.40/0.58 ; Declaring unordered_pair to be commutative.
% 0.40/0.58
% 0.40/0.58 #||
% 0.40/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.58 % SZS output start Refutation
% See solution above
% 0.40/0.58 ||#
% 0.40/0.58
% 0.40/0.58 ; Summary of computation:
% 0.40/0.58 ; 746 formulas have been input or derived (from 88 formulas).
% 0.40/0.58 ; 338 (45%) were retained. Of these,
% 0.40/0.58 ; 17 ( 5%) were simplified or subsumed later,
% 0.40/0.58 ; 321 (95%) are still being kept.
% 0.40/0.58 ;
% 0.40/0.58 ; Run time in seconds excluding printing time:
% 0.40/0.58 ; 0.023 19% Read assertion file (1 call)
% 0.40/0.58 ; 0.003 2% Assert (127 calls)
% 0.40/0.58 ; 0.021 17% Process new row (627 calls)
% 0.40/0.58 ; 0.010 8% Resolution (174 calls)
% 0.40/0.58 ; 0.002 2% Paramodulation (87 calls)
% 0.40/0.58 ; 0.000 0% Factoring (7 calls)
% 0.40/0.58 ; 0.007 6% Condensing (249 calls)
% 0.40/0.58 ; 0.007 6% Forward subsumption (249 calls)
% 0.40/0.58 ; 0.001 1% Backward subsumption (195 calls)
% 0.40/0.58 ; 0.000 0% Clause clause subsumption (238 calls)
% 0.40/0.58 ; 0.016 13% Forward simplification (624 calls)
% 0.40/0.58 ; 0.002 2% Backward simplification (326 calls)
% 0.40/0.58 ; 0.002 2% Ordering (521 calls)
% 0.40/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.58 ; 0.001 1% Purity testing (1 call)
% 0.40/0.58 ; 0.027 22% Other
% 0.40/0.58 ; 0.122 Total
% 0.40/0.58 ; 0.124 Real time
% 0.40/0.58 ;
% 0.40/0.58 ; Term-hash-array has 664 terms in all.
% 0.40/0.58 ; Feature-vector-row-index has 195 entries (195 at peak, 195 added, 0 deleted).
% 0.40/0.58 ; Feature-vector-row-index has 1,007 nodes (1,007 at peak, 1,007 added, 0 deleted).
% 0.40/0.58 ; Retrieved 336 possibly forward subsuming rows in 249 calls.
% 0.40/0.58 ; Retrieved 35 possibly backward subsumed rows in 195 calls.
% 0.40/0.58 ; Path-index has 667 entries (667 at peak, 675 added, 8 deleted).
% 0.40/0.58 ; Path-index has 1,831 nodes (1,831 at peak, 1,838 added, 7 deleted).
% 0.40/0.58 ; Trie-index has 667 entries (667 at peak, 675 added, 8 deleted).
% 0.40/0.58 ; Trie-index has 1,962 nodes (1,962 at peak, 1,978 added, 16 deleted).
% 0.40/0.58 ; Retrieved 585 generalization terms in 1,601 calls.
% 0.40/0.58 ; Retrieved 153 instance terms in 130 calls.
% 0.40/0.58 ; Retrieved 7,733 unifiable terms in 749 calls.
% 0.40/0.58 ;
% 0.40/0.58 ; The agenda of rows to process has 37 entries:
% 0.40/0.58 ; 1 with value 10 2 with value 16 2 with value 21
% 0.40/0.58 ; 1 with value 11 4 with value 17 5 with value 22
% 0.40/0.58 ; 3 with value 13 3 with value 18 2 with value 23
% 0.40/0.58 ; 9 with value 14 1 with value 19 4 with value 25
% 0.40/0.58 ; The agenda of input rows to give has 33 entries:
% 0.40/0.58 ; 1 with value 15 4 with value 20 1 with value 31
% 0.40/0.58 ; 5 with value 16 3 with value 21 1 with value 34
% 0.40/0.58 ; 3 with value 17 4 with value 22 2 with value 35
% 0.40/0.58 ; 4 with value 18 1 with value 27 1 with value 50
% 0.40/0.59 ; 1 with value 19 2 with value 30
% 0.40/0.59 ; The agenda of rows to give has 202 entries:
% 0.40/0.59 ; 2 with value (4 4) 15 with value (4 14) 7 with value (4 22)
% 0.40/0.59 ; 3 with value (4 5) 12 with value (4 15) 6 with value (4 23)
% 0.40/0.59 ; 13 with value (4 7) 10 with value (4 16) 6 with value (4 24)
% 0.40/0.59 ; 19 with value (4 8) 9 with value (4 17) 2 with value (4 25)
% 0.40/0.59 ; 10 with value (4 9) 10 with value (4 18) 3 with value (4 26)
% 0.40/0.59 ; 15 with value (4 10) 14 with value (4 19) 3 with value (4 28)
% 0.40/0.59 ; 10 with value (4 11) 13 with value (4 20) 1 with value (4 29)
% 0.40/0.59 ; 8 with value (4 12) 1 with value (4 21) 2 with value (4 30)
% 0.40/0.59 ; 8 with value (4 13)
% 0.40/0.59 Evaluation took:
% 0.40/0.59 0.124 seconds of real time
% 0.40/0.59 0.10892 seconds of user run time
% 0.40/0.59 0.015221 seconds of system run time
% 0.40/0.59 0 calls to %EVAL
% 0.40/0.59 0 page faults and
% 0.40/0.59 7,161,464 bytes consed.
% 0.40/0.59 :PROOF-FOUND
% 0.40/0.59 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T05:20:43
% 0.40/0.59 :PROOF-FOUND
% 0.40/0.59 *
%------------------------------------------------------------------------------