TSTP Solution File: SET096-7 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET096-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 05:07:18 EDT 2022
% Result : Unsatisfiable 0.78s 0.97s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 9 unt; 1 nHn; 13 RR)
% Number of literals : 21 ( 6 equ; 10 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; 0-1 aty)
% Number of variables : 10 ( 0 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(subclass_implies_equal,axiom,
( ~ subclass(X,Y)
| ~ subclass(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(regularity1,axiom,
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(only_member_in_singleton,axiom,
( ~ member(X,singleton(Y))
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_member_in_singleton) ).
cnf(property_of_singletons2,axiom,
( ~ member(X,Y)
| subclass(singleton(X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_singletons2) ).
cnf(prove_two_subsets_of_singleton_1,negated_conjecture,
subclass(x,singleton(y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_1) ).
cnf(prove_two_subsets_of_singleton_2,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_2) ).
cnf(prove_two_subsets_of_singleton_3,negated_conjecture,
singleton(y) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_3) ).
cnf(165,plain,
member(regular(x),x),
inference('UR-RESOLVE',[status(thm)],[regularity1,prove_two_subsets_of_singleton_2]) ).
cnf(221,plain,
member(regular(x),singleton(y)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[subclass_members,prove_two_subsets_of_singleton_1,regularity1]),prove_two_subsets_of_singleton_2]) ).
cnf(242,plain,
~ subclass(singleton(y),x),
inference('UR-RESOLVE',[status(thm)],[subclass_implies_equal,prove_two_subsets_of_singleton_1,prove_two_subsets_of_singleton_3]) ).
cnf(1221,plain,
~ member(y,x),
inference('UR-RESOLVE',[status(thm)],[property_of_singletons2,242]) ).
cnf(1702,plain,
regular(x) = y,
inference('HYPERRESOLVE',[status(thm)],[only_member_in_singleton,221]) ).
cnf(1703,plain,
$false,
inference('REWRITE',[status(thm)],[165,1221,1702,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET096-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n013.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 08:55:59 EDT 2022
% 0.13/0.34 % 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 2022-07-10T08:56:00
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-10T08:56:00
% 0.19/0.51
% 0.19/0.51 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.78/0.97 ; Declaring unordered_pair to be commutative.
% 0.78/0.97
% 0.78/0.97 #||
% 0.78/0.97 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.97 % SZS output start Refutation
% See solution above
% 0.78/0.97 ||#
% 0.78/0.97
% 0.78/0.97 ; Summary of computation:
% 0.78/0.97 ; 4482 formulas have been input or derived (from 178 formulas).
% 0.78/0.97 ; 1703 (38%) were retained. Of these,
% 0.78/0.97 ; 123 ( 7%) were simplified or subsumed later,
% 0.78/0.97 ; 1580 (93%) are still being kept.
% 0.78/0.97 ;
% 0.78/0.97 ; Run time in seconds excluding printing time:
% 0.78/0.97 ; 0.024 5% Read assertion file (1 call)
% 0.78/0.97 ; 0.004 1% Assert (142 calls)
% 0.78/0.97 ; 0.136 27% Process new row (3,967 calls)
% 0.78/0.97 ; 0.099 20% Resolution (354 calls)
% 0.78/0.97 ; 0.006 1% Paramodulation (177 calls)
% 0.78/0.97 ; 0.000 0% Factoring (12 calls)
% 0.78/0.97 ; 0.022 4% Condensing (1,228 calls)
% 0.78/0.97 ; 0.056 11% Forward subsumption (1,228 calls)
% 0.78/0.97 ; 0.025 5% Backward subsumption (866 calls)
% 0.78/0.97 ; 0.008 2% Clause clause subsumption (1,729 calls)
% 0.78/0.97 ; 0.064 13% Forward simplification (3,895 calls)
% 0.78/0.97 ; 0.013 3% Backward simplification (1,691 calls)
% 0.78/0.97 ; 0.006 1% Ordering (3,434 calls)
% 0.78/0.97 ; 0.001 0% Sortal reasoning (32 calls)
% 0.78/0.97 ; 0.001 0% Purity testing (1 call)
% 0.78/0.97 ; 0.033 7% Other
% 0.78/0.97 ; 0.498 Total
% 0.78/0.97 ; 0.499 Real time
% 0.78/0.97 ;
% 0.78/0.97 ; Term-hash-array has 2,950 terms in all.
% 0.78/0.97 ; Feature-vector-row-index has 816 entries (841 at peak, 866 added, 50 deleted).
% 0.78/0.97 ; Feature-vector-row-index has 3,973 nodes (4,083 at peak, 4,292 added, 319 deleted).
% 0.78/0.97 ; Retrieved 2,769 possibly forward subsuming rows in 1,228 calls.
% 0.78/0.97 ; Retrieved 271 possibly backward subsumed rows in 866 calls.
% 0.78/0.97 ; Path-index has 2,834 entries (2,937 at peak, 3,014 added, 180 deleted).
% 0.78/0.97 ; Path-index has 3,829 nodes (3,843 at peak, 3,911 added, 82 deleted).
% 0.78/0.97 ; Trie-index has 2,834 entries (2,937 at peak, 3,014 added, 180 deleted).
% 0.78/0.97 ; Trie-index has 7,917 nodes (8,197 at peak, 8,377 added, 460 deleted).
% 0.78/0.97 ; Retrieved 4,051 generalization terms in 11,754 calls.
% 0.78/0.97 ; Retrieved 864 instance terms in 824 calls.
% 0.78/0.97 ; Retrieved 106,645 unifiable terms in 3,462 calls.
% 0.78/0.97 ;
% 0.78/0.97 ; The agenda of backward simplifiable rows to process has 69 entries:
% 0.78/0.97 ; 69 with value 0
% 0.78/0.97 ; The agenda of rows to process has 138 entries:
% 0.78/0.97 ; 3 with value 8 12 with value 14 5 with value 21
% 0.78/0.97 ; 1 with value 9 44 with value 15 6 with value 22
% 0.78/0.97 ; 1 with value 10 22 with value 16 8 with value 25
% 0.78/0.97 ; 2 with value 11 1 with value 18 4 with value 27
% 0.78/0.97 ; 4 with value 12 6 with value 19 4 with value 31
% 0.78/0.97 ; 8 with value 13 7 with value 20
% 0.78/0.97 ; The agenda of rows to give has 1407 entries:
% 0.78/0.97 ; 21 with value (4 8) 41 with value (4 22) 3 with value (4 37)
% 0.78/0.97 ; 46 with value (4 9) 43 with value (4 23) 1 with value (4 38)
% 0.78/0.97 ; 70 with value (4 10) 48 with value (4 24) 2 with value (4 39)
% 0.78/0.97 ; 76 with value (4 11) 29 with value (4 25) 1 with value (4 41)
% 0.78/0.97 ; 66 with value (4 12) 30 with value (4 26) 1 with value (4 42)
% 0.78/0.97 ; 114 with value (4 13) 19 with value (4 27) 1 with value (4 43)
% 0.78/0.97 ; 173 with value (4 14) 12 with value (4 28) 1 with value (4 44)
% 0.78/0.97 ; 123 with value (4 15) 18 with value (4 29) 1 with value (4 45)
% 0.78/0.97 ; 57 with value (4 16) 16 with value (4 30) 3 with value (4 46)
% 0.78/0.97 ; 42 with value (4 17) 7 with value (4 31) 1 with value (4 49)
% 0.78/0.97 ; 85 with value (4 18) 11 with value (4 32) 1 with value (4 51)
% 0.78/0.97 ; 92 with value (4 19) 2 with value (4 33) 1 with value (4 53)
% 0.78/0.97 ; 81 with value (4 20) 4 with value (4 34) 1 with value (4 59)
% 0.78/0.97 ; 54 with value (4 21) 8 with value (4 35) 1 with value (4 63)
% 0.78/0.97 Evaluation took:
% 0.78/0.97 0.5 seconds of real time
% 0.78/0.97 0.45419 seconds of user run time
% 0.78/0.97 0.045913 seconds of system run time
% 0.78/0.97 [Run times include 0.023 seconds GC run time.]
% 0.78/0.97 0 calls to %EVAL
% 0.78/0.97 0 page faults and
% 0.78/0.97 33,809,992 bytes consed.
% 0.78/0.97 :PROOF-FOUND
% 0.78/0.97 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T08:56:00
% 0.78/0.97 :PROOF-FOUND
% 0.78/0.97 *
%------------------------------------------------------------------------------