TSTP Solution File: SET151-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET151-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 05:07:53 EDT 2022
% Result : Unsatisfiable 2.96s 3.12s
% Output : Refutation 2.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 8 unt; 4 nHn; 11 RR)
% Number of literals : 27 ( 5 equ; 12 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 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(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_complement_of_null_class_1,negated_conjecture,
complement(null_class) != universal_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_complement_of_null_class_1) ).
cnf(152,plain,
( X = null_class
| member(regular(X),universal_class) ),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,regularity1]) ).
cnf(165,plain,
~ subclass(universal_class,complement(null_class)),
inference('UR-RESOLVE',[status(thm)],[subclass_implies_equal,class_elements_are_sets,prove_complement_of_null_class_1]) ).
cnf(396,plain,
member(not_subclass_element(universal_class,complement(null_class)),universal_class),
inference('HYPERRESOLVE',[status(thm)],[165,not_subclass_members1]) ).
cnf(397,plain,
~ member(not_subclass_element(universal_class,complement(null_class)),complement(null_class)),
inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,165]) ).
cnf(2329,plain,
complement(universal_class) = null_class,
inference('HYPERRESOLVE',[status(thm)],[complement1,152,regularity1]) ).
cnf(5355,plain,
~ member(not_subclass_element(universal_class,complement(null_class)),null_class),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[complement1,396]),2329,theory(equality)]) ).
cnf(13448,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[complement2,397,396]),5355]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET151-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n011.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 : Sun Jul 10 11:33:26 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 2022-07-10T11:33:26
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-10T11:33:26
% 2.96/3.12
% 2.96/3.12
% 2.96/3.12 #||
% 2.96/3.12 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.96/3.12 % SZS output start Refutation
% See solution above
% 2.96/3.15 ||#
% 2.96/3.15
% 2.96/3.15 ; Summary of computation:
% 2.96/3.15 ; 26268 formulas have been input or derived (from 394 formulas).
% 2.96/3.15 ; 13448 (51%) were retained. Of these,
% 2.96/3.15 ; 369 ( 3%) were simplified or subsumed later,
% 2.96/3.15 ; 13079 (97%) are still being kept.
% 2.96/3.15 ;
% 2.96/3.15 ; Run time in seconds excluding printing time:
% 2.96/3.15 ; 0.021 1% Read assertion file (1 call)
% 2.96/3.15 ; 0.003 0% Assert (113 calls)
% 2.96/3.15 ; 0.804 30% Process new row (25,471 calls)
% 2.96/3.15 ; 1.047 39% Resolution (786 calls)
% 2.96/3.15 ; 0.009 0% Paramodulation (393 calls)
% 2.96/3.15 ; 0.000 0% Factoring (7 calls)
% 2.96/3.15 ; 0.009 0% Condensing (1,502 calls)
% 2.96/3.15 ; 0.068 3% Forward subsumption (1,502 calls)
% 2.96/3.15 ; 0.054 2% Backward subsumption (1,467 calls)
% 2.96/3.15 ; 0.004 0% Clause clause subsumption (3,793 calls)
% 2.96/3.15 ; 0.333 13% Forward simplification (25,465 calls)
% 2.96/3.15 ; 0.175 7% Backward simplification (13,433 calls)
% 2.96/3.15 ; 0.011 0% Ordering (3,908 calls)
% 2.96/3.15 ; 0.000 0% Sortal reasoning (32 calls)
% 2.96/3.15 ; 0.000 0% Purity testing (1 call)
% 2.96/3.15 ; 0.117 4% Other
% 2.96/3.15 ; 2.655 Total
% 2.96/3.15 ; 2.684 Real time
% 2.96/3.15 ;
% 2.96/3.15 ; Term-hash-array has 19,218 terms in all.
% 2.96/3.15 ; Feature-vector-row-index has 1,441 entries (1,441 at peak, 1,467 added, 26 deleted).
% 2.96/3.15 ; Feature-vector-row-index has 6,585 nodes (6,585 at peak, 6,708 added, 123 deleted).
% 2.96/3.15 ; Retrieved 3,617 possibly forward subsuming rows in 1,502 calls.
% 2.96/3.15 ; Retrieved 1,398 possibly backward subsumed rows in 1,467 calls.
% 2.96/3.15 ; Path-index has 18,798 entries (18,798 at peak, 19,277 added, 479 deleted).
% 2.96/3.15 ; Path-index has 7,266 nodes (7,266 at peak, 7,387 added, 121 deleted).
% 2.96/3.15 ; Trie-index has 18,798 entries (18,798 at peak, 19,277 added, 479 deleted).
% 2.96/3.15 ; Trie-index has 53,290 nodes (53,290 at peak, 54,390 added, 1,100 deleted).
% 2.96/3.15 ; Retrieved 17,805 generalization terms in 64,223 calls.
% 2.96/3.15 ; Retrieved 12,113 instance terms in 11,965 calls.
% 2.96/3.15 ; Retrieved 1,864,117 unifiable terms in 17,752 calls.
% 2.96/3.15 ;
% 2.96/3.15 ; The agenda of rows to process has 7 entries:
% 2.96/3.15 ; 1 with value 13 2 with value 15 2 with value 18
% 2.96/3.15 ; 1 with value 14 1 with value 16
% 2.96/3.15 ; The agenda of rows to give has 12706 entries:
% 2.96/3.15 ; 162 with value (4 12) 71 with value (4 24) 2 with value (4 37)
% 2.96/3.15 ; 231 with value (4 13) 8 with value (4 25) 1 with value (4 43)
% 2.96/3.15 ; 433 with value (4 14) 9 with value (4 26) 1 with value (4 44)
% 2.96/3.15 ; 435 with value (4 15) 16 with value (4 27) 1 with value (4 45)
% 2.96/3.15 ; 628 with value (4 16) 10 with value (4 28) 4 with value (4 46)
% 2.96/3.15 ; 1052 with value (4 17) 16 with value (4 29) 2 with value (4 49)
% 2.96/3.15 ; 1553 with value (4 18) 11 with value (4 30) 1 with value (4 51)
% 2.96/3.15 ; 2180 with value (4 19) 3 with value (4 31) 1 with value (4 53)
% 2.96/3.15 ; 2467 with value (4 20) 1 with value (4 32) 1 with value (4 55)
% 2.96/3.15 ; 2020 with value (4 21) 2 with value (4 33) 1 with value (4 59)
% 2.96/3.15 ; 1052 with value (4 22) 3 with value (4 34) 1 with value (4 63)
% 2.96/3.15 ; 327 with value (4 23)
% 2.96/3.15 Evaluation took:
% 2.96/3.15 2.685 seconds of real time
% 2.96/3.15 2.502461 seconds of user run time
% 2.96/3.15 0.183214 seconds of system run time
% 2.96/3.15 [Run times include 0.355 seconds GC run time.]
% 2.96/3.15 0 calls to %EVAL
% 2.96/3.15 0 page faults and
% 2.96/3.15 164,730,848 bytes consed.
% 2.96/3.15 :PROOF-FOUND
% 2.96/3.15 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T11:33:29
% 2.96/3.15 :PROOF-FOUND
% 2.96/3.15 *
%------------------------------------------------------------------------------