TSTP Solution File: SET061-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET061-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 05:06:38 EDT 2022
% Result : Unsatisfiable 0.93s 1.16s
% Output : Refutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 7 unt; 2 nHn; 9 RR)
% Number of literals : 18 ( 4 equ; 8 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 ( 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(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(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_existence_of_null_class_1,negated_conjecture,
member(z,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_existence_of_null_class_1) ).
cnf(129,plain,
member(z,universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_existence_of_null_class_1]) ).
cnf(130,plain,
( X = null_class
| member(regular(X),universal_class) ),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,regularity1]) ).
cnf(256,plain,
~ member(z,complement(universal_class)),
inference('UR-RESOLVE',[status(thm)],[complement1,129]) ).
cnf(717,plain,
~ subclass(null_class,complement(universal_class)),
inference('UR-RESOLVE',[status(thm)],[subclass_members,256,prove_existence_of_null_class_1]) ).
cnf(1363,plain,
null_class != complement(universal_class),
inference('UR-RESOLVE',[status(thm)],[equal_implies_subclass1,717]) ).
cnf(3883,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[complement1,130,regularity1]),1363]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET061-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 11 02:58:52 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T02:58:52
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-11T02:58:52
% 0.93/1.16
% 0.93/1.16
% 0.93/1.16 #||
% 0.93/1.16 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.93/1.16 % SZS output start Refutation
% See solution above
% 0.93/1.16 ||#
% 0.93/1.16
% 0.93/1.16 ; Summary of computation:
% 0.93/1.16 ; 7935 formulas have been input or derived (from 184 formulas).
% 0.93/1.16 ; 3883 (49%) were retained. Of these,
% 0.93/1.16 ; 13 ( 0%) were simplified or subsumed later,
% 0.93/1.16 ; 3870 (100%) are still being kept.
% 0.93/1.16 ;
% 0.93/1.16 ; Run time in seconds excluding printing time:
% 0.93/1.16 ; 0.017 3% Read assertion file (1 call)
% 0.93/1.16 ; 0.003 0% Assert (92 calls)
% 0.93/1.16 ; 0.235 36% Process new row (7,506 calls)
% 0.93/1.16 ; 0.178 27% Resolution (366 calls)
% 0.93/1.16 ; 0.003 0% Paramodulation (183 calls)
% 0.93/1.16 ; 0.000 0% Factoring (4 calls)
% 0.93/1.16 ; 0.007 1% Condensing (387 calls)
% 0.93/1.16 ; 0.016 2% Forward subsumption (387 calls)
% 0.93/1.16 ; 0.015 2% Backward subsumption (374 calls)
% 0.93/1.16 ; 0.002 0% Clause clause subsumption (291 calls)
% 0.93/1.16 ; 0.097 15% Forward simplification (7,506 calls)
% 0.93/1.16 ; 0.026 4% Backward simplification (3,871 calls)
% 0.93/1.16 ; 0.003 0% Ordering (828 calls)
% 0.93/1.16 ; 0.001 0% Sortal reasoning (32 calls)
% 0.93/1.16 ; 0.000 0% Purity testing (1 call)
% 0.93/1.16 ; 0.054 8% Other
% 0.93/1.16 ; 0.657 Total
% 0.93/1.16 ; 0.658 Real time
% 0.93/1.16 ;
% 0.93/1.16 ; Term-hash-array has 6,444 terms in all.
% 0.93/1.16 ; Feature-vector-row-index has 374 entries (374 at peak, 374 added, 0 deleted).
% 0.93/1.16 ; Feature-vector-row-index has 1,977 nodes (1,977 at peak, 1,977 added, 0 deleted).
% 0.93/1.16 ; Retrieved 317 possibly forward subsuming rows in 387 calls.
% 0.93/1.16 ; Retrieved 170 possibly backward subsumed rows in 374 calls.
% 0.93/1.16 ; Path-index has 6,452 entries (6,452 at peak, 6,453 added, 1 deleted).
% 0.93/1.16 ; Path-index has 4,250 nodes (4,250 at peak, 4,251 added, 1 deleted).
% 0.93/1.16 ; Trie-index has 6,452 entries (6,452 at peak, 6,453 added, 1 deleted).
% 0.93/1.16 ; Trie-index has 18,104 nodes (18,104 at peak, 18,105 added, 1 deleted).
% 0.93/1.16 ; Retrieved 5,251 generalization terms in 18,441 calls.
% 0.93/1.16 ; Retrieved 3,514 instance terms in 3,496 calls.
% 0.93/1.16 ; Retrieved 330,610 unifiable terms in 6,248 calls.
% 0.93/1.16 ;
% 0.93/1.16 ; The agenda of rows to process has 126 entries:
% 0.93/1.16 ; 2 with value 12 2 with value 16 20 with value 20
% 0.93/1.16 ; 1 with value 13 8 with value 17 50 with value 21
% 0.93/1.16 ; 6 with value 14 8 with value 18 5 with value 22
% 0.93/1.16 ; 1 with value 15 22 with value 19 1 with value 27
% 0.93/1.16 ; The agenda of rows to give has 3686 entries:
% 0.93/1.16 ; 72 with value (4 11) 9 with value (4 23) 2 with value (4 34)
% 0.93/1.16 ; 100 with value (4 12) 13 with value (4 24) 2 with value (4 37)
% 0.93/1.16 ; 158 with value (4 13) 4 with value (4 25) 1 with value (4 43)
% 0.93/1.16 ; 207 with value (4 14) 8 with value (4 26) 1 with value (4 44)
% 0.93/1.16 ; 274 with value (4 15) 1 with value (4 27) 1 with value (4 45)
% 0.93/1.16 ; 574 with value (4 16) 7 with value (4 28) 3 with value (4 46)
% 0.93/1.16 ; 566 with value (4 17) 10 with value (4 29) 1 with value (4 49)
% 0.93/1.16 ; 855 with value (4 18) 3 with value (4 30) 1 with value (4 51)
% 0.93/1.16 ; 431 with value (4 19) 1 with value (4 31) 1 with value (4 53)
% 0.93/1.16 ; 304 with value (4 20) 1 with value (4 32) 1 with value (4 59)
% 0.93/1.16 ; 66 with value (4 21) 2 with value (4 33) 1 with value (4 63)
% 0.93/1.16 ; 5 with value (4 22)
% 0.93/1.16 Evaluation took:
% 0.93/1.16 0.659 seconds of real time
% 0.93/1.16 0.606884 seconds of user run time
% 0.93/1.16 0.052067 seconds of system run time
% 0.93/1.16 [Run times include 0.055 seconds GC run time.]
% 0.93/1.16 0 calls to %EVAL
% 0.93/1.16 0 page faults and
% 0.93/1.16 43,369,880 bytes consed.
% 0.93/1.16 :PROOF-FOUND
% 0.93/1.16 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T02:58:53
% 0.93/1.16 :PROOF-FOUND
% 0.93/1.16 *
%------------------------------------------------------------------------------