TSTP Solution File: SET194+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET194+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 05:08:14 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 5 unt; 1 nHn; 5 RR)
% Number of literals : 11 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( member(X,union(Y,Z))
| ~ member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
cnf(4,axiom,
( subset(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(5,axiom,
( subset(X,Y)
| ~ member('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(10,negated_conjecture,
~ subset('SKOLEMAAAV3',union('SKOLEMAAAV3','SKOLEMAAAV4')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subset_of_union) ).
cnf(11,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV3',union('SKOLEMAAAV3','SKOLEMAAAV4')),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[10,4]) ).
cnf(12,plain,
~ member('SKOLEMAAAV1'('SKOLEMAAAV3',union('SKOLEMAAAV3','SKOLEMAAAV4')),union('SKOLEMAAAV3','SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[5,10]) ).
cnf(19,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV3',union('SKOLEMAAAV3','SKOLEMAAAV4')),union('SKOLEMAAAV3',X)),
inference('HYPERRESOLVE',[status(thm)],[2,11]) ).
cnf(20,plain,
$false,
inference('REWRITE',[status(thm)],[12,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET194+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.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 : Sun Jul 10 13:18:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-10T13:18:22
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-10T13:18:22
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.20/0.51 ; Declaring union to be commutative.
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 43 formulas have been input or derived (from 12 formulas).
% 0.20/0.51 ; 20 (47%) were retained. Of these,
% 0.20/0.51 ; 1 ( 5%) were simplified or subsumed later,
% 0.20/0.51 ; 19 (95%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.001 3% Read assertion file (1 call)
% 0.20/0.51 ; 0.001 3% Assert (6 calls)
% 0.20/0.51 ; 0.002 6% Process new row (35 calls)
% 0.20/0.51 ; 0.002 6% Resolution (22 calls)
% 0.20/0.51 ; 0.000 0% Paramodulation (11 calls)
% 0.20/0.51 ; 0.000 0% Factoring (2 calls)
% 0.20/0.51 ; 0.002 6% Condensing (22 calls)
% 0.20/0.51 ; 0.001 3% Forward subsumption (22 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (14 calls)
% 0.20/0.51 ; 0.000 0% Clause clause subsumption (24 calls)
% 0.20/0.51 ; 0.000 0% Forward simplification (35 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (20 calls)
% 0.20/0.51 ; 0.000 0% Ordering (73 calls)
% 0.20/0.51 ; 0.001 3% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.021 68% Other
% 0.20/0.51 ; 0.031 Total
% 0.20/0.51 ; 0.033 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 41 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 14 entries (14 at peak, 14 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 34 nodes (34 at peak, 34 added, 0 deleted).
% 0.20/0.51 ; Retrieved 21 possibly forward subsuming rows in 22 calls.
% 0.20/0.51 ; Retrieved 3 possibly backward subsumed rows in 14 calls.
% 0.20/0.51 ; Path-index has 42 entries (43 at peak, 43 added, 1 deleted).
% 0.20/0.51 ; Path-index has 65 nodes (66 at peak, 66 added, 1 deleted).
% 0.20/0.51 ; Trie-index has 42 entries (43 at peak, 43 added, 1 deleted).
% 0.20/0.51 ; Trie-index has 77 nodes (78 at peak, 78 added, 1 deleted).
% 0.20/0.51 ; Retrieved 2 generalization terms in 33 calls.
% 0.20/0.51 ; Retrieved 7 instance terms in 5 calls.
% 0.20/0.51 ; Retrieved 258 unifiable terms in 71 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 1 entry:
% 0.20/0.51 ; 1 with value 19
% 0.20/0.51 ; The agenda of rows to give has 7 entries:
% 0.20/0.51 ; 1 with value (4 14) 2 with value (4 26) 2 with value (4 38)
% 0.20/0.51 ; 2 with value (4 21)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.033 seconds of real time
% 0.20/0.51 0.030805 seconds of user run time
% 0.20/0.51 0.002044 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 2,042,248 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T13:18:22
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------