TSTP Solution File: SET591+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET591+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 05:10:37 EDT 2022
% Result : Theorem 0.23s 0.54s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 9 unt; 1 nHn; 11 RR)
% Number of literals : 19 ( 2 equ; 10 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; 0-2 aty)
% Number of variables : 13 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(2,axiom,
( subset(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(5,axiom,
( ~ member(X,difference(Y,Z))
| ~ member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
cnf(7,axiom,
~ member(X,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set_defn) ).
cnf(9,axiom,
( X = Y
| ~ subset(X,Y)
| ~ subset(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
cnf(13,negated_conjecture,
subset('SKOLEMAAAV3',difference('SKOLEMAAAV4','SKOLEMAAAV3')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th50) ).
cnf(14,negated_conjecture,
'SKOLEMAAAV3' != empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th50) ).
cnf(16,plain,
subset(empty_set,X),
inference('UR-RESOLVE',[status(thm)],[2,7]) ).
cnf(24,plain,
~ subset('SKOLEMAAAV3',empty_set),
inference('UR-RESOLVE',[status(thm)],[9,16,14]) ).
cnf(26,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV3',empty_set),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[24,2]) ).
cnf(33,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV3',empty_set),difference('SKOLEMAAAV4','SKOLEMAAAV3')),
inference('HYPERRESOLVE',[status(thm)],[1,26,13]) ).
cnf(35,plain,
~ member('SKOLEMAAAV1'('SKOLEMAAAV3',empty_set),difference(X,'SKOLEMAAAV3')),
inference('UR-RESOLVE',[status(thm)],[5,26]) ).
cnf(36,plain,
$false,
inference('REWRITE',[status(thm)],[33,35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SET591+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.15 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n016.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 13:03:41 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.23/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.50 *
% 0.23/0.50 *
% 0.23/0.51 #<PACKAGE "SNARK-USER">
% 0.23/0.51 *
% 0.23/0.51 SNARK-TPTP-OPTIONS
% 0.23/0.51 *
% 0.23/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.51 (USE-FACTORING :POS)
% 0.23/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.51 *
% 0.23/0.51 "."
% 0.23/0.51 *
% 0.23/0.51 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T13:03:41
% 0.23/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-10T13:03:41
% 0.23/0.54
% 0.23/0.54
% 0.23/0.54 #||
% 0.23/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.54 % SZS output start Refutation
% See solution above
% 0.23/0.54 ||#
% 0.23/0.54
% 0.23/0.54 ; Summary of computation:
% 0.23/0.54 ; 98 formulas have been input or derived (from 22 formulas).
% 0.23/0.54 ; 36 (37%) were retained. Of these,
% 0.23/0.54 ; 6 (17%) were simplified or subsumed later,
% 0.23/0.54 ; 30 (83%) are still being kept.
% 0.23/0.54 ;
% 0.23/0.54 ; Run time in seconds excluding printing time:
% 0.23/0.54 ; 0.002 6% Read assertion file (1 call)
% 0.23/0.54 ; 0.001 3% Assert (7 calls)
% 0.23/0.54 ; 0.002 6% Process new row (78 calls)
% 0.23/0.54 ; 0.003 9% Resolution (42 calls)
% 0.23/0.54 ; 0.001 3% Paramodulation (21 calls)
% 0.23/0.54 ; 0.000 0% Factoring (2 calls)
% 0.23/0.54 ; 0.000 0% Condensing (19 calls)
% 0.23/0.54 ; 0.001 3% Forward subsumption (19 calls)
% 0.23/0.54 ; 0.000 0% Backward subsumption (17 calls)
% 0.23/0.54 ; 0.000 0% Clause clause subsumption (6 calls)
% 0.23/0.54 ; 0.001 3% Forward simplification (66 calls)
% 0.23/0.54 ; 0.001 3% Backward simplification (36 calls)
% 0.23/0.54 ; 0.000 0% Ordering (19 calls)
% 0.23/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.23/0.54 ; 0.000 0% Purity testing (1 call)
% 0.23/0.54 ; 0.021 64% Other
% 0.23/0.54 ; 0.033 Total
% 0.23/0.55 ; 0.035 Real time
% 0.23/0.55 ;
% 0.23/0.55 ; Term-hash-array has 56 terms in all.
% 0.23/0.55 ; Feature-vector-row-index has 16 entries (17 at peak, 17 added, 1 deleted).
% 0.23/0.55 ; Feature-vector-row-index has 55 nodes (64 at peak, 64 added, 9 deleted).
% 0.23/0.55 ; Retrieved 6 possibly forward subsuming rows in 19 calls.
% 0.23/0.55 ; Retrieved 0 possibly backward subsumed rows in 17 calls.
% 0.23/0.55 ; Path-index has 52 entries (54 at peak, 61 added, 9 deleted).
% 0.23/0.55 ; Path-index has 114 nodes (118 at peak, 124 added, 10 deleted).
% 0.23/0.55 ; Trie-index has 52 entries (54 at peak, 61 added, 9 deleted).
% 0.23/0.55 ; Trie-index has 103 nodes (111 at peak, 126 added, 23 deleted).
% 0.23/0.55 ; Retrieved 28 generalization terms in 66 calls.
% 0.23/0.55 ; Retrieved 22 instance terms in 18 calls.
% 0.23/0.55 ; Retrieved 623 unifiable terms in 155 calls.
% 0.23/0.55 ;
% 0.23/0.55 ; The agenda of rows to process has 2 entries:
% 0.23/0.55 ; 1 with value 18 1 with value 20
% 0.23/0.55 ; The agenda of rows to give has 11 entries:
% 0.23/0.55 ; 1 with value (4 7) 3 with value (4 13) 1 with value (4 18)
% 0.23/0.55 ; 1 with value (4 9) 1 with value (4 16) 1 with value (4 19)
% 0.23/0.55 ; 1 with value (4 10) 1 with value (4 17) 1 with value (4 20)
% 0.23/0.55 Evaluation took:
% 0.23/0.55 0.035 seconds of real time
% 0.23/0.55 0.030166 seconds of user run time
% 0.23/0.55 0.005282 seconds of system run time
% 0.23/0.55 0 calls to %EVAL
% 0.23/0.55 0 page faults and
% 0.23/0.55 2,276,232 bytes consed.
% 0.23/0.55 :PROOF-FOUND
% 0.23/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T13:03:41
% 0.23/0.55 :PROOF-FOUND
% 0.23/0.55 *
%------------------------------------------------------------------------------