TSTP Solution File: SET588+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET588+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 05:10:35 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% 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; 10 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_difference_subset1) ).
cnf(9,negated_conjecture,
~ subset(difference('SKOLEMAAAV2','SKOLEMAAAV4'),difference('SKOLEMAAAV3','SKOLEMAAAV4')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_difference_subset1) ).
cnf(10,plain,
member('SKOLEMAAAV1'(difference('SKOLEMAAAV2','SKOLEMAAAV4'),difference('SKOLEMAAAV3','SKOLEMAAAV4')),difference('SKOLEMAAAV2','SKOLEMAAAV4')),
inference('HYPERRESOLVE',[status(thm)],[9,5]) ).
cnf(11,plain,
~ member('SKOLEMAAAV1'(difference('SKOLEMAAAV2','SKOLEMAAAV4'),difference('SKOLEMAAAV3','SKOLEMAAAV4')),difference('SKOLEMAAAV3','SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[6,9]) ).
cnf(12,plain,
member('SKOLEMAAAV1'(difference('SKOLEMAAAV2','SKOLEMAAAV4'),difference('SKOLEMAAAV3','SKOLEMAAAV4')),'SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[1,10]) ).
cnf(13,plain,
~ member('SKOLEMAAAV1'(difference('SKOLEMAAAV2','SKOLEMAAAV4'),difference('SKOLEMAAAV3','SKOLEMAAAV4')),'SKOLEMAAAV4'),
inference('UR-RESOLVE',[status(thm)],[2,10]) ).
cnf(17,plain,
member('SKOLEMAAAV1'(difference('SKOLEMAAAV2','SKOLEMAAAV4'),difference('SKOLEMAAAV3','SKOLEMAAAV4')),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[4,12,8]) ).
cnf(75,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3,11,13]),17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET588+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 9 21:01:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T21:01:43
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-09T21:01:43
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 123 formulas have been input or derived (from 30 formulas).
% 0.19/0.51 ; 75 (61%) were retained. Of these,
% 0.19/0.51 ; 75 (100%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.001 3% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 3% Assert (4 calls)
% 0.19/0.51 ; 0.005 13% Process new row (109 calls)
% 0.19/0.51 ; 0.004 10% Resolution (58 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (29 calls)
% 0.19/0.51 ; 0.000 0% Factoring (1 call)
% 0.19/0.51 ; 0.000 0% Condensing (18 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (18 calls)
% 0.19/0.51 ; 0.001 3% Backward subsumption (18 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (7 calls)
% 0.19/0.51 ; 0.001 3% Forward simplification (109 calls)
% 0.19/0.51 ; 0.003 8% Backward simplification (75 calls)
% 0.19/0.51 ; 0.000 0% Ordering (16 calls)
% 0.19/0.51 ; 0.001 3% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.022 56% Other
% 0.19/0.51 ; 0.039 Total
% 0.19/0.51 ; 0.041 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 107 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 124 nodes (124 at peak, 124 added, 0 deleted).
% 0.19/0.51 ; Retrieved 3 possibly forward subsuming rows in 18 calls.
% 0.19/0.51 ; Retrieved 4 possibly backward subsumed rows in 18 calls.
% 0.19/0.51 ; Path-index has 110 entries (110 at peak, 110 added, 0 deleted).
% 0.19/0.51 ; Path-index has 137 nodes (137 at peak, 137 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 110 entries (110 at peak, 110 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 243 nodes (243 at peak, 243 added, 0 deleted).
% 0.19/0.51 ; Retrieved 47 generalization terms in 113 calls.
% 0.19/0.51 ; Retrieved 57 instance terms in 56 calls.
% 0.19/0.51 ; Retrieved 1,080 unifiable terms in 302 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 4 entries:
% 0.19/0.51 ; 1 with value 16 1 with value 19 1 with value 20
% 0.19/0.51 ; 1 with value 18
% 0.19/0.51 ; The agenda of rows to give has 45 entries:
% 0.19/0.51 ; 1 with value (4 10) 6 with value (4 19) 2 with value (4 25)
% 0.19/0.51 ; 5 with value (4 15) 3 with value (4 20) 1 with value (4 26)
% 0.19/0.51 ; 1 with value (4 16) 1 with value (4 21) 1 with value (4 29)
% 0.19/0.51 ; 10 with value (4 17) 3 with value (4 22) 1 with value (4 30)
% 0.19/0.51 ; 9 with value (4 18) 1 with value (4 24)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.042 seconds of real time
% 0.19/0.51 0.035637 seconds of user run time
% 0.19/0.51 0.005936 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 2,854,136 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T21:01:43
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------