TSTP Solution File: SET009+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET009+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 05:05:36 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 8 unt; 2 nHn; 12 RR)
% Number of literals : 22 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(X,difference(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
cnf(2,axiom,
( ~ member(X,difference(Y,Z))
| ~ member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
cnf(3,axiom,
( member(X,difference(Y,Z))
| ~ member(X,Y)
| member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
cnf(4,axiom,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(5,axiom,
( subset(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(6,axiom,
( subset(X,Y)
| ~ member('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(8,negated_conjecture,
subset('SKOLEMAAAV2','SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subset_difference) ).
cnf(9,negated_conjecture,
~ subset(difference('SKOLEMAAAV4','SKOLEMAAAV3'),difference('SKOLEMAAAV4','SKOLEMAAAV2')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subset_difference) ).
cnf(10,plain,
member('SKOLEMAAAV1'(difference('SKOLEMAAAV4','SKOLEMAAAV3'),difference('SKOLEMAAAV4','SKOLEMAAAV2')),difference('SKOLEMAAAV4','SKOLEMAAAV3')),
inference('HYPERRESOLVE',[status(thm)],[9,5]) ).
cnf(11,plain,
~ member('SKOLEMAAAV1'(difference('SKOLEMAAAV4','SKOLEMAAAV3'),difference('SKOLEMAAAV4','SKOLEMAAAV2')),difference('SKOLEMAAAV4','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[6,9]) ).
cnf(12,plain,
member('SKOLEMAAAV1'(difference('SKOLEMAAAV4','SKOLEMAAAV3'),difference('SKOLEMAAAV4','SKOLEMAAAV2')),'SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[1,10]) ).
cnf(13,plain,
~ member('SKOLEMAAAV1'(difference('SKOLEMAAAV4','SKOLEMAAAV3'),difference('SKOLEMAAAV4','SKOLEMAAAV2')),'SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[2,10]) ).
cnf(22,plain,
~ member('SKOLEMAAAV1'(difference('SKOLEMAAAV4','SKOLEMAAAV3'),difference('SKOLEMAAAV4','SKOLEMAAAV2')),'SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[4,13,8]) ).
cnf(70,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3,11,12]),22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET009+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 09:56:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T09:56:55
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-11T09:56:55
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 #||
% 0.20/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.53 % SZS output start Refutation
% See solution above
% 0.20/0.53 ||#
% 0.20/0.53
% 0.20/0.53 ; Summary of computation:
% 0.20/0.53 ; 114 formulas have been input or derived (from 29 formulas).
% 0.20/0.53 ; 70 (61%) were retained. Of these,
% 0.20/0.53 ; 70 (100%) are still being kept.
% 0.20/0.53 ;
% 0.20/0.53 ; Run time in seconds excluding printing time:
% 0.20/0.53 ; 0.001 3% Read assertion file (1 call)
% 0.20/0.53 ; 0.001 3% Assert (4 calls)
% 0.20/0.53 ; 0.007 18% Process new row (98 calls)
% 0.20/0.53 ; 0.000 0% Resolution (56 calls)
% 0.20/0.53 ; 0.000 0% Paramodulation (28 calls)
% 0.20/0.53 ; 0.000 0% Factoring (1 call)
% 0.20/0.53 ; 0.000 0% Condensing (16 calls)
% 0.20/0.53 ; 0.000 0% Forward subsumption (16 calls)
% 0.20/0.53 ; 0.000 0% Backward subsumption (16 calls)
% 0.20/0.53 ; 0.000 0% Clause clause subsumption (7 calls)
% 0.20/0.53 ; 0.003 8% Forward simplification (98 calls)
% 0.20/0.53 ; 0.002 5% Backward simplification (70 calls)
% 0.20/0.53 ; 0.000 0% Ordering (13 calls)
% 0.20/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.53 ; 0.000 0% Purity testing (1 call)
% 0.20/0.53 ; 0.024 63% Other
% 0.20/0.53 ; 0.038 Total
% 0.20/0.53 ; 0.039 Real time
% 0.20/0.53 ;
% 0.20/0.53 ; Term-hash-array has 98 terms in all.
% 0.20/0.53 ; Feature-vector-row-index has 16 entries (16 at peak, 16 added, 0 deleted).
% 0.20/0.53 ; Feature-vector-row-index has 103 nodes (103 at peak, 103 added, 0 deleted).
% 0.20/0.53 ; Retrieved 3 possibly forward subsuming rows in 16 calls.
% 0.20/0.53 ; Retrieved 4 possibly backward subsumed rows in 16 calls.
% 0.20/0.53 ; Path-index has 101 entries (101 at peak, 101 added, 0 deleted).
% 0.20/0.53 ; Path-index has 137 nodes (137 at peak, 137 added, 0 deleted).
% 0.20/0.53 ; Trie-index has 101 entries (101 at peak, 101 added, 0 deleted).
% 0.20/0.53 ; Trie-index has 212 nodes (212 at peak, 212 added, 0 deleted).
% 0.20/0.53 ; Retrieved 40 generalization terms in 100 calls.
% 0.20/0.53 ; Retrieved 54 instance terms in 53 calls.
% 0.20/0.53 ; Retrieved 1,053 unifiable terms in 294 calls.
% 0.20/0.53 ;
% 0.20/0.53 ; The agenda of rows to process has 4 entries:
% 0.20/0.53 ; 1 with value 16 1 with value 19 1 with value 20
% 0.20/0.53 ; 1 with value 18
% 0.20/0.53 ; The agenda of rows to give has 41 entries:
% 0.20/0.53 ; 1 with value (4 10) 5 with value (4 19) 2 with value (4 25)
% 0.20/0.53 ; 6 with value (4 15) 2 with value (4 20) 1 with value (4 26)
% 0.20/0.53 ; 1 with value (4 16) 1 with value (4 21) 1 with value (4 29)
% 0.20/0.53 ; 9 with value (4 17) 2 with value (4 22) 1 with value (4 30)
% 0.20/0.53 ; 8 with value (4 18) 1 with value (4 24)
% 0.20/0.53 Evaluation took:
% 0.20/0.53 0.04 seconds of real time
% 0.20/0.53 0.034395 seconds of user run time
% 0.20/0.53 0.005764 seconds of system run time
% 0.20/0.53 0 calls to %EVAL
% 0.20/0.53 0 page faults and
% 0.20/0.53 2,812,712 bytes consed.
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T09:56:55
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 *
%------------------------------------------------------------------------------