TSTP Solution File: SET631+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET631+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 05:11:07 EDT 2022
% Result : Theorem 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 16 ( 0 equ; 8 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 : 11 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(X,difference(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
cnf(4,axiom,
( ~ intersect(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_defn) ).
cnf(5,axiom,
( ~ intersect(X,Y)
| member('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_defn) ).
cnf(6,axiom,
( intersect(X,Y)
| ~ member(Z,X)
| ~ member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_defn) ).
cnf(7,negated_conjecture,
intersect('SKOLEMAAAV2',difference('SKOLEMAAAV3','SKOLEMAAAV4')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th113) ).
cnf(8,negated_conjecture,
~ intersect('SKOLEMAAAV2','SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th113) ).
cnf(9,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV2',difference('SKOLEMAAAV3','SKOLEMAAAV4')),'SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[4,7]) ).
cnf(12,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV2',difference('SKOLEMAAAV3','SKOLEMAAAV4')),difference('SKOLEMAAAV3','SKOLEMAAAV4')),
inference('HYPERRESOLVE',[status(thm)],[5,7]) ).
cnf(14,plain,
~ member('SKOLEMAAAV1'('SKOLEMAAAV2',difference('SKOLEMAAAV3','SKOLEMAAAV4')),'SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[6,9,8]) ).
cnf(26,plain,
~ member('SKOLEMAAAV1'('SKOLEMAAAV2',difference('SKOLEMAAAV3','SKOLEMAAAV4')),difference('SKOLEMAAAV3',X)),
inference('UR-RESOLVE',[status(thm)],[1,14]) ).
cnf(27,plain,
$false,
inference('REWRITE',[status(thm)],[12,26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET631+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 10 00:09:02 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.50 *
% 0.22/0.50 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T00:09:02
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-10T00:09:02
% 0.22/0.52
% 0.22/0.52 ; Recognized commutativity assertion (OR (NOT (|intersect| ?X ?Y)) (|intersect| ?Y ?X)).
% 0.22/0.54 ; Declaring intersect to be commutative.
% 0.22/0.54
% 0.22/0.54 #||
% 0.22/0.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.54 % SZS output start Refutation
% See solution above
% 0.22/0.54 ||#
% 0.22/0.54
% 0.22/0.54 ; Summary of computation:
% 0.22/0.54 ; 50 formulas have been input or derived (from 15 formulas).
% 0.22/0.54 ; 27 (54%) were retained. Of these,
% 0.22/0.54 ; 1 ( 4%) were simplified or subsumed later,
% 0.22/0.54 ; 26 (96%) are still being kept.
% 0.22/0.54 ;
% 0.22/0.54 ; Run time in seconds excluding printing time:
% 0.22/0.54 ; 0.001 3% Read assertion file (1 call)
% 0.22/0.54 ; 0.001 3% Assert (4 calls)
% 0.22/0.54 ; 0.000 0% Process new row (30 calls)
% 0.22/0.54 ; 0.003 10% Resolution (28 calls)
% 0.22/0.54 ; 0.000 0% Paramodulation (14 calls)
% 0.22/0.54 ; 0.000 0% Condensing (9 calls)
% 0.22/0.54 ; 0.001 3% Forward subsumption (9 calls)
% 0.22/0.54 ; 0.000 0% Backward subsumption (9 calls)
% 0.22/0.54 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.22/0.54 ; 0.000 0% Forward simplification (30 calls)
% 0.22/0.54 ; 0.000 0% Backward simplification (27 calls)
% 0.22/0.54 ; 0.000 0% Ordering (2 calls)
% 0.22/0.54 ; 0.001 3% Sortal reasoning (32 calls)
% 0.22/0.54 ; 0.000 0% Purity testing (1 call)
% 0.22/0.54 ; 0.022 76% Other
% 0.22/0.54 ; 0.029 Total
% 0.22/0.54 ; 0.032 Real time
% 0.22/0.54 ;
% 0.22/0.54 ; Term-hash-array has 41 terms in all.
% 0.22/0.54 ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 0.22/0.54 ; Feature-vector-row-index has 32 nodes (32 at peak, 32 added, 0 deleted).
% 0.22/0.54 ; Retrieved 2 possibly forward subsuming rows in 9 calls.
% 0.22/0.54 ; Retrieved 2 possibly backward subsumed rows in 9 calls.
% 0.22/0.54 ; Path-index has 43 entries (44 at peak, 44 added, 1 deleted).
% 0.22/0.54 ; Path-index has 74 nodes (74 at peak, 74 added, 0 deleted).
% 0.22/0.54 ; Trie-index has 43 entries (44 at peak, 44 added, 1 deleted).
% 0.22/0.54 ; Trie-index has 85 nodes (86 at peak, 86 added, 1 deleted).
% 0.22/0.54 ; Retrieved 2 generalization terms in 23 calls.
% 0.22/0.54 ; Retrieved 20 instance terms in 17 calls.
% 0.22/0.54 ; Retrieved 431 unifiable terms in 123 calls.
% 0.22/0.54 ;
% 0.22/0.54 ; The agenda of rows to process has 1 entry:
% 0.22/0.54 ; 1 with value 15
% 0.22/0.54 ; The agenda of rows to give has 11 entries:
% 0.22/0.54 ; 1 with value (4 12) 4 with value (4 14) 1 with value (4 20)
% 0.22/0.54 ; 2 with value (4 13) 1 with value (4 15) 2 with value (4 24)
% 0.22/0.54 Evaluation took:
% 0.22/0.54 0.032 seconds of real time
% 0.22/0.54 0.026064 seconds of user run time
% 0.22/0.54 0.006064 seconds of system run time
% 0.22/0.54 0 calls to %EVAL
% 0.22/0.54 0 page faults and
% 0.22/0.54 2,141,224 bytes consed.
% 0.22/0.54 :PROOF-FOUND
% 0.22/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T00:09:02
% 0.22/0.54 :PROOF-FOUND
% 0.22/0.54 *
%------------------------------------------------------------------------------