TSTP Solution File: SET189-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET189-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 05:08:12 EDT 2022
% Result : Unsatisfiable 1.52s 1.74s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 22 ( 13 unt; 4 nHn; 17 RR)
% Number of literals : 35 ( 6 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 1 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(not_subclass_members1,axiom,
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(not_subclass_members2,axiom,
( ~ member(not_subclass_element(X,Y),Y)
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(subclass_implies_equal,axiom,
( ~ subclass(X,Y)
| ~ subclass(Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(intersection3,axiom,
( ~ member(X,Y)
| ~ member(X,Z)
| member(X,intersection(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
cnf(complement1,axiom,
( ~ member(X,complement(Y))
| ~ member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(complement2,axiom,
( ~ member(X,universal_class)
| member(X,complement(Y))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
cnf(regularity1,axiom,
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(prove_corollary_to_subclass_property6_1,negated_conjecture,
intersection(complement(y),x) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_subclass_property6_1) ).
cnf(prove_corollary_to_subclass_property6_2,negated_conjecture,
subclass(y,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_subclass_property6_2) ).
cnf(prove_corollary_to_subclass_property6_3,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_subclass_property6_3) ).
cnf(157,plain,
( X = null_class
| member(regular(X),universal_class) ),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,regularity1]) ).
cnf(170,plain,
~ subclass(x,y),
inference('UR-RESOLVE',[status(thm)],[subclass_implies_equal,prove_corollary_to_subclass_property6_2,prove_corollary_to_subclass_property6_3]) ).
cnf(171,plain,
member(not_subclass_element(x,y),x),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[subclass_implies_equal,prove_corollary_to_subclass_property6_2,not_subclass_members1]),prove_corollary_to_subclass_property6_3]) ).
cnf(297,plain,
~ member(not_subclass_element(x,y),y),
inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,170]) ).
cnf(468,plain,
member(not_subclass_element(x,y),universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,171,class_elements_are_sets]) ).
cnf(828,plain,
member(not_subclass_element(x,y),complement(y)),
inference('UR-RESOLVE',[status(thm)],[complement2,468,297]) ).
cnf(829,plain,
~ member(not_subclass_element(x,y),complement(universal_class)),
inference('UR-RESOLVE',[status(thm)],[complement1,468]) ).
cnf(2641,plain,
complement(universal_class) = null_class,
inference('HYPERRESOLVE',[status(thm)],[complement1,157,regularity1]) ).
cnf(2708,plain,
~ member(not_subclass_element(x,y),null_class),
inference('REWRITE',[status(thm)],[829,2641,theory(equality)]) ).
cnf(7147,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[intersection3,828,171]),2708,prove_corollary_to_subclass_property6_1,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET189-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 10:56:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T10:56:27
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-11T10:56:27
% 1.52/1.74
% 1.52/1.74
% 1.52/1.74 #||
% 1.52/1.74 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.74 % SZS output start Refutation
% See solution above
% 1.52/1.74 ||#
% 1.52/1.74
% 1.52/1.74 ; Summary of computation:
% 1.52/1.74 ; 14157 formulas have been input or derived (from 302 formulas).
% 1.52/1.74 ; 7147 (50%) were retained. Of these,
% 1.52/1.74 ; 376 ( 5%) were simplified or subsumed later,
% 1.52/1.74 ; 6771 (95%) are still being kept.
% 1.52/1.74 ;
% 1.52/1.74 ; Run time in seconds excluding printing time:
% 1.52/1.74 ; 0.021 2% Read assertion file (1 call)
% 1.52/1.74 ; 0.004 0% Assert (115 calls)
% 1.52/1.74 ; 0.486 38% Process new row (13,404 calls)
% 1.52/1.74 ; 0.374 29% Resolution (602 calls)
% 1.52/1.74 ; 0.011 1% Paramodulation (301 calls)
% 1.52/1.74 ; 0.000 0% Factoring (6 calls)
% 1.52/1.74 ; 0.012 1% Condensing (1,005 calls)
% 1.52/1.74 ; 0.056 4% Forward subsumption (1,005 calls)
% 1.52/1.74 ; 0.033 3% Backward subsumption (969 calls)
% 1.52/1.74 ; 0.003 0% Clause clause subsumption (2,581 calls)
% 1.52/1.74 ; 0.119 9% Forward simplification (13,398 calls)
% 1.52/1.74 ; 0.077 6% Backward simplification (7,132 calls)
% 1.52/1.74 ; 0.006 0% Ordering (2,408 calls)
% 1.52/1.74 ; 0.000 0% Sortal reasoning (32 calls)
% 1.52/1.74 ; 0.000 0% Purity testing (1 call)
% 1.52/1.74 ; 0.071 6% Other
% 1.52/1.74 ; 1.273 Total
% 1.52/1.74 ; 1.275 Real time
% 1.52/1.74 ;
% 1.52/1.74 ; Term-hash-array has 11,257 terms in all.
% 1.52/1.74 ; Feature-vector-row-index has 941 entries (941 at peak, 969 added, 28 deleted).
% 1.52/1.74 ; Feature-vector-row-index has 4,600 nodes (4,600 at peak, 4,715 added, 115 deleted).
% 1.52/1.74 ; Retrieved 2,800 possibly forward subsuming rows in 1,005 calls.
% 1.52/1.74 ; Retrieved 785 possibly backward subsumed rows in 969 calls.
% 1.52/1.74 ; Path-index has 10,826 entries (10,826 at peak, 11,314 added, 488 deleted).
% 1.52/1.74 ; Path-index has 6,630 nodes (6,630 at peak, 6,747 added, 117 deleted).
% 1.52/1.74 ; Trie-index has 10,826 entries (10,826 at peak, 11,314 added, 488 deleted).
% 1.52/1.74 ; Trie-index has 32,511 nodes (32,511 at peak, 33,624 added, 1,113 deleted).
% 1.52/1.74 ; Retrieved 8,812 generalization terms in 33,533 calls.
% 1.52/1.74 ; Retrieved 6,309 instance terms in 6,162 calls.
% 1.52/1.74 ; Retrieved 761,072 unifiable terms in 10,556 calls.
% 1.52/1.74 ;
% 1.52/1.74 ; The agenda of rows to process has 295 entries:
% 1.52/1.74 ; 5 with value 15 28 with value 18 77 with value 21
% 1.52/1.74 ; 1 with value 16 96 with value 19 12 with value 22
% 1.52/1.74 ; 16 with value 17 60 with value 20
% 1.52/1.74 ; The agenda of rows to give has 6490 entries:
% 1.52/1.74 ; 2 with value (4 10) 167 with value (4 22) 3 with value (4 34)
% 1.52/1.74 ; 74 with value (4 11) 14 with value (4 23) 2 with value (4 37)
% 1.52/1.74 ; 142 with value (4 12) 11 with value (4 24) 1 with value (4 43)
% 1.52/1.74 ; 200 with value (4 13) 4 with value (4 25) 1 with value (4 44)
% 1.52/1.74 ; 294 with value (4 14) 10 with value (4 26) 1 with value (4 45)
% 1.52/1.74 ; 249 with value (4 15) 14 with value (4 27) 4 with value (4 46)
% 1.52/1.74 ; 513 with value (4 16) 9 with value (4 28) 2 with value (4 49)
% 1.52/1.74 ; 687 with value (4 17) 12 with value (4 29) 1 with value (4 51)
% 1.52/1.74 ; 1171 with value (4 18) 10 with value (4 30) 1 with value (4 53)
% 1.52/1.74 ; 1225 with value (4 19) 3 with value (4 31) 1 with value (4 55)
% 1.52/1.74 ; 1108 with value (4 20) 1 with value (4 32) 1 with value (4 59)
% 1.52/1.74 ; 549 with value (4 21) 2 with value (4 33) 1 with value (4 63)
% 1.52/1.74 Evaluation took:
% 1.52/1.74 1.276 seconds of real time
% 1.52/1.74 1.173359 seconds of user run time
% 1.52/1.74 0.103143 seconds of system run time
% 1.52/1.74 [Run times include 0.154 seconds GC run time.]
% 1.52/1.74 0 calls to %EVAL
% 1.52/1.74 0 page faults and
% 1.52/1.74 89,627,600 bytes consed.
% 1.52/1.74 :PROOF-FOUND
% 1.52/1.74 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T10:56:28
% 1.52/1.74 :PROOF-FOUND
% 1.52/1.74 *
%------------------------------------------------------------------------------