TSTP Solution File: NUM156-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM156-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 : Mon Jul 18 14:06:50 EDT 2022
% Result : Unsatisfiable 29.88s 30.09s
% Output : Refutation 29.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of clauses : 22 ( 15 unt; 2 nHn; 15 RR)
% Number of literals : 31 ( 4 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 20 ( 5 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(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(unordered_pair3,axiom,
( ~ member(X,universal_class)
| member(X,unordered_pair(Y,X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
cnf(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(intersection1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(complement1,axiom,
( ~ member(X,complement(Y))
| ~ member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(complement2,axiom,
( ~ member(X,universal_class)
| member(X,complement(Y))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).
cnf(union,axiom,
complement(intersection(complement(X),complement(Y))) = union(X,Y),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',union) ).
cnf(inductive1,axiom,
( ~ inductive(X)
| member(null_class,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',inductive1) ).
cnf(omega_is_inductive1,axiom,
inductive(omega),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',omega_is_inductive1) ).
cnf(kind_1_ordinals,axiom,
union(singleton(null_class),image(successor_relation,ordinal_numbers)) = kind_1_ordinals,
file('/export/starexec/sandbox/benchmark/Axioms/NUM004-0.ax',kind_1_ordinals) ).
cnf(167,plain,
complement(intersection(complement(singleton(null_class)),complement(image(successor_relation,ordinal_numbers)))) = kind_1_ordinals,
inference('REWRITE',[status(thm)],[kind_1_ordinals,union,theory(equality)]) ).
cnf(prove_null_class_is_kind_1_1,negated_conjecture,
~ member(null_class,kind_1_ordinals),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_is_kind_1_1) ).
cnf(194,plain,
member(null_class,omega),
inference('HYPERRESOLVE',[status(thm)],[inductive1,omega_is_inductive1]) ).
cnf(440,plain,
member(null_class,universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,194,class_elements_are_sets]) ).
cnf(464,plain,
member(null_class,unordered_pair(X,null_class)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair3,440]) ).
cnf(477,plain,
( member(null_class,complement(X))
| member(null_class,X) ),
inference('HYPERRESOLVE',[status(thm)],[complement2,440]) ).
cnf(1530,plain,
member(null_class,singleton(null_class)),
inference('PARAMODULATE',[status(thm)],[464,singleton_set,theory(equality)]) ).
cnf(3306,plain,
~ member(null_class,complement(singleton(null_class))),
inference('UR-RESOLVE',[status(thm)],[complement1,1530]) ).
cnf(40037,plain,
member(null_class,intersection(complement(singleton(null_class)),complement(image(successor_relation,ordinal_numbers)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[477,167,theory(equality)]),prove_null_class_is_kind_1_1]) ).
cnf(78488,plain,
~ member(null_class,intersection(complement(singleton(null_class)),X)),
inference('UR-RESOLVE',[status(thm)],[intersection1,3306]) ).
cnf(78489,plain,
$false,
inference('REWRITE',[status(thm)],[40037,78488]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM156-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n024.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 : Wed Jul 6 02:33:59 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 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T02:33:59
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-06T02:33:59
% 29.88/30.09
% 29.88/30.09
% 29.88/30.09 #||
% 29.88/30.09 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.88/30.09 % SZS output start Refutation
% See solution above
% 29.88/30.09 ||#
% 29.88/30.09
% 29.88/30.09 ; Summary of computation:
% 29.88/30.09 ; 150422 formulas have been input or derived (from 1205 formulas).
% 29.88/30.09 ; 78489 (52%) were retained. Of these,
% 29.88/30.09 ; 530 ( 1%) were simplified or subsumed later,
% 29.88/30.09 ; 77959 (99%) are still being kept.
% 29.88/30.09 ;
% 29.88/30.09 ; Run time in seconds excluding printing time:
% 29.88/30.09 ; 0.031 0% Read assertion file (1 call)
% 29.88/30.09 ; 0.003 0% Assert (159 calls)
% 29.88/30.09 ; 6.675 23% Process new row (147,983 calls)
% 29.88/30.09 ; 15.534 52% Resolution (2,408 calls)
% 29.88/30.09 ; 0.039 0% Paramodulation (1,204 calls)
% 29.88/30.09 ; 0.000 0% Factoring (23 calls)
% 29.88/30.09 ; 0.062 0% Condensing (9,563 calls)
% 29.88/30.09 ; 1.932 7% Forward subsumption (9,563 calls)
% 29.88/30.09 ; 1.388 5% Backward subsumption (9,140 calls)
% 29.88/30.09 ; 0.190 1% Clause clause subsumption (48,268 calls)
% 29.88/30.09 ; 2.197 7% Forward simplification (147,977 calls)
% 29.88/30.09 ; 1.069 4% Backward simplification (78,455 calls)
% 29.88/30.09 ; 0.029 0% Ordering (23,905 calls)
% 29.88/30.09 ; 0.000 0% Sortal reasoning (32 calls)
% 29.88/30.09 ; 0.000 0% Purity testing (1 call)
% 29.88/30.09 ; 0.455 2% Other
% 29.88/30.09 ; 29.604 Total
% 29.88/30.09 ; 29.615 Real time
% 29.88/30.10 ;
% 29.93/30.10 ; Term-hash-array has 108,554 terms in all.
% 29.93/30.10 ; Feature-vector-row-index has 9,043 entries (9,043 at peak, 9,140 added, 97 deleted).
% 29.93/30.10 ; Feature-vector-row-index has 34,126 nodes (34,126 at peak, 34,503 added, 377 deleted).
% 29.93/30.10 ; Retrieved 58,715 possibly forward subsuming rows in 9,563 calls.
% 29.93/30.10 ; Retrieved 15,165 possibly backward subsumed rows in 9,140 calls.
% 29.93/30.10 ; Path-index has 107,985 entries (107,986 at peak, 108,660 added, 675 deleted).
% 29.93/30.10 ; Path-index has 16,135 nodes (16,135 at peak, 16,322 added, 187 deleted).
% 29.93/30.10 ; Trie-index has 107,985 entries (107,986 at peak, 108,660 added, 675 deleted).
% 29.93/30.10 ; Trie-index has 321,622 nodes (321,626 at peak, 323,067 added, 1,445 deleted).
% 29.93/30.10 ; Retrieved 98,696 generalization terms in 437,362 calls.
% 29.93/30.10 ; Retrieved 69,505 instance terms in 69,317 calls.
% 29.93/30.10 ; Retrieved 25,947,849 unifiable terms in 88,502 calls.
% 29.93/30.10 ;
% 29.93/30.10 ; The agenda of rows to process has 8 entries:
% 29.93/30.10 ; 2 with value 17 4 with value 18 2 with value 19
% 29.93/30.10 ; The agenda of rows to give has 76781 entries:
% 29.93/30.10 ; 534 with value (4 13) 70 with value (4 27) 3 with value (4 41)
% 29.93/30.10 ; 988 with value (4 14) 22 with value (4 28) 9 with value (4 42)
% 29.93/30.10 ; 1346 with value (4 15) 35 with value (4 29) 7 with value (4 43)
% 29.93/30.10 ; 2054 with value (4 16) 33 with value (4 30) 2 with value (4 44)
% 29.93/30.10 ; 2391 with value (4 17) 11 with value (4 31) 2 with value (4 45)
% 29.93/30.10 ; 3772 with value (4 18) 32 with value (4 32) 7 with value (4 46)
% 29.93/30.10 ; 5204 with value (4 19) 25 with value (4 33) 3 with value (4 49)
% 29.93/30.10 ; 8769 with value (4 20) 14 with value (4 34) 1 with value (4 51)
% 29.93/30.10 ; 12787 with value (4 21) 9 with value (4 35) 1 with value (4 53)
% 29.93/30.10 ; 15137 with value (4 22) 5 with value (4 36) 1 with value (4 55)
% 29.93/30.10 ; 13270 with value (4 23) 6 with value (4 37) 1 with value (4 57)
% 29.93/30.10 ; 7325 with value (4 24) 11 with value (4 38) 1 with value (4 59)
% 29.93/30.10 ; 2298 with value (4 25) 15 with value (4 39) 1 with value (4 63)
% 29.93/30.10 ; 575 with value (4 26) 4 with value (4 40)
% 29.93/30.10 Evaluation took:
% 29.93/30.10 29.623 seconds of real time
% 29.93/30.10 28.256474 seconds of user run time
% 29.93/30.10 1.357144 seconds of system run time
% 29.93/30.10 [Run times include 5.757 seconds GC run time.]
% 29.93/30.10 0 calls to %EVAL
% 29.93/30.10 0 page faults and
% 29.93/30.10 1,295,327,632 bytes consed.
% 29.93/30.10 :PROOF-FOUND
% 29.93/30.10 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T02:34:29
% 29.93/30.10 :PROOF-FOUND
% 29.93/30.10 *
%------------------------------------------------------------------------------