TSTP Solution File: SET584+3 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET584+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 05:10:32 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 8 unt; 3 nHn; 12 RR)
% Number of literals : 22 ( 0 equ; 9 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 : 13 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(X,union(Y,Z))
| member(X,Y)
| member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
cnf(2,axiom,
( member(X,union(Y,Z))
| ~ member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
cnf(3,axiom,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(4,axiom,
( subset(X,Y)
| member('SKOLEMAAAU1'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(5,axiom,
( subset(X,Y)
| ~ member('SKOLEMAAAU1'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(10,negated_conjecture,
subset('SKOLEMAAAU3','SKOLEMAAAU4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th33) ).
cnf(11,negated_conjecture,
~ subset(union('SKOLEMAAAU3','SKOLEMAAAU5'),union('SKOLEMAAAU4','SKOLEMAAAU5')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th33) ).
cnf(12,plain,
member('SKOLEMAAAU1'(union('SKOLEMAAAU3','SKOLEMAAAU5'),union('SKOLEMAAAU4','SKOLEMAAAU5')),union('SKOLEMAAAU3','SKOLEMAAAU5')),
inference('HYPERRESOLVE',[status(thm)],[11,4]) ).
cnf(13,plain,
~ member('SKOLEMAAAU1'(union('SKOLEMAAAU3','SKOLEMAAAU5'),union('SKOLEMAAAU4','SKOLEMAAAU5')),union('SKOLEMAAAU4','SKOLEMAAAU5')),
inference('UR-RESOLVE',[status(thm)],[5,11]) ).
cnf(23,plain,
( member('SKOLEMAAAU1'(union('SKOLEMAAAU3','SKOLEMAAAU5'),union('SKOLEMAAAU4','SKOLEMAAAU5')),'SKOLEMAAAU3')
| member('SKOLEMAAAU1'(union('SKOLEMAAAU3','SKOLEMAAAU5'),union('SKOLEMAAAU4','SKOLEMAAAU5')),'SKOLEMAAAU5') ),
inference('HYPERRESOLVE',[status(thm)],[1,12]) ).
cnf(26,plain,
~ member('SKOLEMAAAU1'(union('SKOLEMAAAU3','SKOLEMAAAU5'),union('SKOLEMAAAU4','SKOLEMAAAU5')),'SKOLEMAAAU4'),
inference('UR-RESOLVE',[status(thm)],[2,13]) ).
cnf(27,plain,
~ member('SKOLEMAAAU1'(union('SKOLEMAAAU3','SKOLEMAAAU5'),union('SKOLEMAAAU4','SKOLEMAAAU5')),'SKOLEMAAAU5'),
inference('UR-RESOLVE',[status(thm)],[2,13]) ).
cnf(28,plain,
member('SKOLEMAAAU1'(union('SKOLEMAAAU3','SKOLEMAAAU5'),union('SKOLEMAAAU4','SKOLEMAAAU5')),'SKOLEMAAAU3'),
inference('REWRITE',[status(thm)],[23,27]) ).
cnf(32,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3,26,10]),28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET584+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n014.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 03:01:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T03:01:05
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-10T03:01:05
% 0.20/0.48
% 0.20/0.48 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.20/0.50 ; Declaring union to be commutative.
% 0.20/0.50
% 0.20/0.50 #||
% 0.20/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 ||#
% 0.20/0.50
% 0.20/0.50 ; Summary of computation:
% 0.20/0.50 ; 65 formulas have been input or derived (from 16 formulas).
% 0.20/0.50 ; 32 (49%) were retained. Of these,
% 0.20/0.50 ; 1 ( 3%) were simplified or subsumed later,
% 0.20/0.50 ; 31 (97%) are still being kept.
% 0.20/0.50 ;
% 0.20/0.50 ; Run time in seconds excluding printing time:
% 0.20/0.50 ; 0.002 6% Read assertion file (1 call)
% 0.20/0.50 ; 0.001 3% Assert (6 calls)
% 0.20/0.50 ; 0.002 6% Process new row (50 calls)
% 0.20/0.50 ; 0.002 6% Resolution (30 calls)
% 0.20/0.50 ; 0.000 0% Paramodulation (15 calls)
% 0.20/0.50 ; 0.000 0% Factoring (2 calls)
% 0.20/0.50 ; 0.002 6% Condensing (26 calls)
% 0.20/0.50 ; 0.000 0% Forward subsumption (26 calls)
% 0.20/0.50 ; 0.000 0% Backward subsumption (18 calls)
% 0.20/0.51 ; 0.000 0% Clause clause subsumption (28 calls)
% 0.20/0.51 ; 0.003 9% Forward simplification (50 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (32 calls)
% 0.20/0.51 ; 0.000 0% Ordering (85 calls)
% 0.20/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.021 64% Other
% 0.20/0.51 ; 0.033 Total
% 0.20/0.51 ; 0.035 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 61 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 17 entries (18 at peak, 18 added, 1 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 53 nodes (69 at peak, 69 added, 16 deleted).
% 0.20/0.51 ; Retrieved 24 possibly forward subsuming rows in 26 calls.
% 0.20/0.51 ; Retrieved 4 possibly backward subsumed rows in 18 calls.
% 0.20/0.51 ; Path-index has 64 entries (64 at peak, 65 added, 1 deleted).
% 0.20/0.51 ; Path-index has 96 nodes (96 at peak, 97 added, 1 deleted).
% 0.20/0.51 ; Trie-index has 64 entries (64 at peak, 65 added, 1 deleted).
% 0.20/0.51 ; Trie-index has 134 nodes (134 at peak, 135 added, 1 deleted).
% 0.20/0.51 ; Retrieved 8 generalization terms in 52 calls.
% 0.20/0.51 ; Retrieved 14 instance terms in 13 calls.
% 0.20/0.51 ; Retrieved 625 unifiable terms in 144 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 3 entries:
% 0.20/0.51 ; 1 with value 15 1 with value 17 1 with value 19
% 0.20/0.51 ; The agenda of rows to give has 15 entries:
% 0.20/0.51 ; 2 with value (4 10) 2 with value (4 19) 3 with value (4 26)
% 0.20/0.51 ; 2 with value (4 14) 1 with value (4 20) 2 with value (4 38)
% 0.20/0.51 ; 1 with value (4 18) 2 with value (4 21)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.036 seconds of real time
% 0.20/0.51 0.025661 seconds of user run time
% 0.20/0.51 0.010312 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 2,808,368 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T03:01:05
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------