TSTP Solution File: SET079-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET079-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 05:07:00 EDT 2022
% Result : Unsatisfiable 1.01s 1.18s
% Output : Refutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 10 unt; 2 nHn; 10 RR)
% Number of literals : 23 ( 6 equ; 9 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 3 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(equal_implies_subclass1,axiom,
( X != Y
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).
cnf(unordered_pair2,axiom,
( ~ member(X,universal_class)
| member(X,unordered_pair(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(complement1,axiom,
( ~ member(X,complement(Y))
| ~ member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(regularity1,axiom,
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(prove_corollary_to_set_in_its_singleton_1,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_set_in_its_singleton_1) ).
cnf(prove_corollary_to_set_in_its_singleton_2,negated_conjecture,
singleton(x) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_set_in_its_singleton_2) ).
cnf(110,plain,
~ member(x,complement(universal_class)),
inference('UR-RESOLVE',[status(thm)],[complement1,prove_corollary_to_set_in_its_singleton_1]) ).
cnf(123,plain,
member(x,unordered_pair(x,X)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair2,prove_corollary_to_set_in_its_singleton_1]) ).
cnf(134,plain,
( X = null_class
| member(regular(X),universal_class) ),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,regularity1]) ).
cnf(479,plain,
member(x,null_class),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[123,singleton_set,theory(equality)]),prove_corollary_to_set_in_its_singleton_2,theory(equality)]) ).
cnf(511,plain,
~ subclass(null_class,complement(universal_class)),
inference('UR-RESOLVE',[status(thm)],[subclass_members,479,110]) ).
cnf(1148,plain,
null_class != complement(universal_class),
inference('UR-RESOLVE',[status(thm)],[equal_implies_subclass1,511]) ).
cnf(4476,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[complement1,134,regularity1]),1148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET079-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.12 % Command : run-snark %s %d
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sat Jul 9 20:30:52 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45 *
% 0.17/0.45 *
% 0.17/0.45 #<PACKAGE "SNARK-USER">
% 0.17/0.45 *
% 0.17/0.45 SNARK-TPTP-OPTIONS
% 0.17/0.45 *
% 0.17/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45 (USE-FACTORING :POS)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45 *
% 0.17/0.45 "."
% 0.17/0.45 *
% 0.17/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T20:30:52
% 0.17/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-09T20:30:52
% 1.01/1.18
% 1.01/1.18
% 1.01/1.18 #||
% 1.01/1.18 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.01/1.18 % SZS output start Refutation
% See solution above
% 1.01/1.18 ||#
% 1.01/1.18
% 1.01/1.18 ; Summary of computation:
% 1.01/1.18 ; 9166 formulas have been input or derived (from 190 formulas).
% 1.01/1.18 ; 4476 (49%) were retained. Of these,
% 1.01/1.18 ; 13 ( 0%) were simplified or subsumed later,
% 1.01/1.18 ; 4463 (100%) are still being kept.
% 1.01/1.18 ;
% 1.01/1.18 ; Run time in seconds excluding printing time:
% 1.01/1.18 ; 0.017 2% Read assertion file (1 call)
% 1.01/1.18 ; 0.004 1% Assert (93 calls)
% 1.01/1.18 ; 0.301 42% Process new row (8,707 calls)
% 1.01/1.18 ; 0.203 28% Resolution (378 calls)
% 1.01/1.18 ; 0.007 1% Paramodulation (189 calls)
% 1.01/1.18 ; 0.000 0% Factoring (4 calls)
% 1.01/1.18 ; 0.004 1% Condensing (416 calls)
% 1.01/1.18 ; 0.013 2% Forward subsumption (416 calls)
% 1.01/1.18 ; 0.009 1% Backward subsumption (403 calls)
% 1.01/1.18 ; 0.000 0% Clause clause subsumption (299 calls)
% 1.01/1.18 ; 0.090 12% Forward simplification (8,707 calls)
% 1.01/1.18 ; 0.024 3% Backward simplification (4,464 calls)
% 1.01/1.18 ; 0.004 1% Ordering (870 calls)
% 1.01/1.18 ; 0.000 0% Sortal reasoning (32 calls)
% 1.01/1.18 ; 0.000 0% Purity testing (1 call)
% 1.01/1.18 ; 0.049 7% Other
% 1.01/1.18 ; 0.725 Total
% 1.01/1.18 ; 0.726 Real time
% 1.01/1.18 ;
% 1.01/1.18 ; Term-hash-array has 7,046 terms in all.
% 1.01/1.18 ; Feature-vector-row-index has 403 entries (403 at peak, 403 added, 0 deleted).
% 1.01/1.18 ; Feature-vector-row-index has 1,949 nodes (1,949 at peak, 1,949 added, 0 deleted).
% 1.01/1.18 ; Retrieved 383 possibly forward subsuming rows in 416 calls.
% 1.01/1.18 ; Retrieved 241 possibly backward subsumed rows in 403 calls.
% 1.01/1.18 ; Path-index has 7,054 entries (7,054 at peak, 7,055 added, 1 deleted).
% 1.01/1.18 ; Path-index has 4,289 nodes (4,289 at peak, 4,290 added, 1 deleted).
% 1.01/1.18 ; Trie-index has 7,054 entries (7,054 at peak, 7,055 added, 1 deleted).
% 1.01/1.18 ; Trie-index has 20,321 nodes (20,321 at peak, 20,322 added, 1 deleted).
% 1.01/1.18 ; Retrieved 5,976 generalization terms in 23,123 calls.
% 1.01/1.18 ; Retrieved 4,078 instance terms in 4,060 calls.
% 1.01/1.18 ; Retrieved 409,819 unifiable terms in 7,032 calls.
% 1.01/1.18 ;
% 1.01/1.18 ; The agenda of rows to process has 135 entries:
% 1.01/1.18 ; 1 with value 12 2 with value 16 6 with value 20
% 1.01/1.18 ; 1 with value 13 6 with value 17 68 with value 21
% 1.01/1.18 ; 6 with value 14 14 with value 18 5 with value 22
% 1.01/1.18 ; 1 with value 15 24 with value 19 1 with value 27
% 1.01/1.18 ; The agenda of rows to give has 4273 entries:
% 1.01/1.18 ; 52 with value (4 11) 11 with value (4 23) 2 with value (4 34)
% 1.01/1.18 ; 109 with value (4 12) 15 with value (4 24) 2 with value (4 37)
% 1.01/1.18 ; 161 with value (4 13) 5 with value (4 25) 1 with value (4 43)
% 1.01/1.18 ; 248 with value (4 14) 7 with value (4 26) 1 with value (4 44)
% 1.01/1.18 ; 233 with value (4 15) 1 with value (4 27) 1 with value (4 45)
% 1.01/1.18 ; 614 with value (4 16) 11 with value (4 28) 3 with value (4 46)
% 1.01/1.18 ; 554 with value (4 17) 11 with value (4 29) 1 with value (4 49)
% 1.01/1.18 ; 1104 with value (4 18) 3 with value (4 30) 1 with value (4 51)
% 1.01/1.18 ; 618 with value (4 19) 1 with value (4 31) 1 with value (4 53)
% 1.01/1.18 ; 406 with value (4 20) 1 with value (4 32) 1 with value (4 59)
% 1.01/1.18 ; 87 with value (4 21) 2 with value (4 33) 1 with value (4 63)
% 1.01/1.18 ; 4 with value (4 22)
% 1.01/1.18 Evaluation took:
% 1.01/1.18 0.727 seconds of real time
% 1.01/1.18 0.676563 seconds of user run time
% 1.01/1.18 0.051195 seconds of system run time
% 1.01/1.18 [Run times include 0.053 seconds GC run time.]
% 1.01/1.18 0 calls to %EVAL
% 1.01/1.18 0 page faults and
% 1.01/1.18 49,776,800 bytes consed.
% 1.01/1.18 :PROOF-FOUND
% 1.01/1.18 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T20:30:53
% 1.01/1.18 :PROOF-FOUND
% 1.01/1.18 *
%------------------------------------------------------------------------------